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shows a tetartoid created by enlarging the blue faces of the dyakis dodecahedral core. Therefore, the edges between the blue faces are covered by the...

The dihedral angle of a truncated dodecahedron between two regular dodecahedral faces is 116.57°, and that between triangle-to-dodecahedron is 142.62°...

The dodecahedral conjecture in geometry is intimately related to sphere packing. László Fejes Tóth, a 20th-century Hungarian geometer, considered the Voronoi...

In chemistry, the dodecahedral molecular geometry describes the shape of compounds where eight atoms or groups of atoms or ligands are arranged around...

In mathematics, a dodecahedral number is a figurate number that represents a dodecahedron. The nth dodecahedral number is given by the formula n ( 3 n...

of a regular dodecahedron can be represented as the graph called the dodecahedral graph, a Platonic graph. Its property of the Hamiltonian, a path that...

In the geometry of hyperbolic 3-space, the order-7 dodecahedral honeycomb is a regular space-filling tessellation (or honeycomb). With Schläfli symbol...

rational coefficients. The Poincaré homology sphere (also known as Poincaré dodecahedral space) is a particular example of a homology sphere, first constructed...

In hyperbolic geometry, the order-4 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) of hyperbolic 3-space...

Schläfli symbol {5,3,3}. It is also called a C120, dodecaplex (short for "dodecahedral complex"), hyperdodecahedron, polydodecahedron, hecatonicosachoron, dodecacontachoron...

every vertex. The dual to the icosahedral pyramid is the dodecahedral pyramid, seen as a dodecahedral base, and 12 regular pentagonal pyramids meeting at an...

In hyperbolic geometry, the order-5 dodecahedral honeycomb is one of four compact regular space-filling tessellations (or honeycombs) in hyperbolic 3-space...

hyperbolic 3-manifold. It is also known as Seifert–Weber dodecahedral space and hyperbolic dodecahedral space. It is one of the first discovered examples of...

In geometry, a dodecahedral prism is a convex uniform 4-polytope. This 4-polytope has 14 polyhedral cells: 2 dodecahedra connected by 12 pentagonal prisms...

dodecahedron can be used to tesselate its copies in space creating a rhombic dodecahedral honeycomb. There are some variations of the rhombic dodecahedron, one...

In the geometry of hyperbolic 3-space, the dodecahedral-icosahedral honeycomb is a uniform honeycomb, constructed from dodecahedron, icosahedron, and icosidodecahedron...

each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral honeycomb. A geometric honeycomb is a space-filling of polyhedral or...

The order-6 dodecahedral honeycomb is one of 11 paracompact regular honeycombs in hyperbolic 3-space. It is paracompact because it has vertex figures composed...

In geometry, the trapezo-rhombic dodecahedron or rhombo-trapezoidal dodecahedron is a convex dodecahedron with 6 rhombic and 6 trapezoidal faces. It has...

hollow object made of copper alloy that has been cast into a regular dodecahedral shape with twelve flat pentagonal faces. Each face has a circular hole...

digenite, and chalcocite is common. Rare crystals are approximately cubic, dodecahedral, or octahedral. Usually massive. Penetration twinning on the crystallographic...

A dihedron (pl. dihedra) is a type of polyhedron, made of two polygon faces which share the same set of n edges. In three-dimensional Euclidean space,...

on the density of sphere packings, the honeycomb conjecture, and the dodecahedral conjecture. In 2014, he announced the completion of the Flyspeck Project...

is a pentagon. It can be named by its Schläfli symbol as {5, 3n − 2} (dodecahedral) or {3n − 2, 5} (icosahedral). The family starts as 1-polytopes and ends...

degenerated into digons. In the mathematical field of graph theory, a snub dodecahedral graph is the graph of vertices and edges of the snub dodecahedron, one...

In geometry, a hyperpyramid is a generalisation of the normal pyramid to n dimensions. In the case of the pyramid one connects all vertices of the base...

Archimede construction systems are construction techniques achieving rhombic dodecahedral shapes, a space-filling geometry. In America, most of these systems generate...

A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle, called a lateral...

mathematics, a centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific...

the smallest triple of dodecahedral numbers where one is the sum of the other two: the sum of the 46th and the 178th dodecahedral numbers is the 179th....

hyperbolic 3-manifold. It is also known as Seifert–Weber dodecahedral space and hyperbolic dodecahedral space. It is one of the first discovered examples of...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

faces. Escher's solid can tessellate space to form the stellated rhombic dodecahedral honeycomb. The first stellation of the rhombic dodecahedron has 12 faces...

hemi-icosahedral cells. 120-cell – regular 4-polytope with dodecahedral cells Order-5 dodecahedral honeycomb - regular hyperbolic honeycomb with same Schläfli...

In mathematics, and especially in geometry, an object has icosahedral symmetry if it has the same symmetries as a regular icosahedron. Examples of other...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

honeycomb Order-2 hexagonal tiling honeycomb Order-4 dodecahedral honeycomb Order-5 dodecahedral honeycomb Order-5 cubic honeycomb Icosahedral honeycomb...

elongated dodecahedral honeycomb. It is the Wigner–Seitz cell for certain body-centered tetragonal lattices. This is related to the rhombic dodecahedral honeycomb...

restoring one mirror as . The other is [4,(3,5)*], index 120 with a dodecahedral fundamental domain. There are also 23 paracompact Coxeter groups of rank...

tetrahedral numbers Centered cube numbers Centered octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers Stella octangula numbers Deza, Elena;...

octahedral cleavage. Dodecahedral cleavage occurs when there are six cleavage planes in a crystal. Sphalerite has dodecahedral cleavage. Crystal parting...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

In geometry, a bipyramid, dipyramid, or double pyramid is a polyhedron formed by fusing two pyramids together base-to-base. The polygonal base of each...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

parallelepiped) Hexagonal prismatic honeycomb Rhombic dodecahedral honeycomb Elongated dodecahedral honeycomb Bitruncated cubic honeycomb or truncated octahedra...

3-manifold (such as the Poincaré dodecahedral space), all of which are quotients of the 3-sphere. Poincaré dodecahedral space is a positively curved space...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

1909 to 1912 by Wieferich and A. J. Kempner. Pollock icosahedral and dodecahedral numbers conjectures: Every positive integer is the sum of at most 13...

minimum spanning tree (top left); polyhedral graph with an example of dodecahedral graph for a regular dodecahedron (top right); the intersection graph...

and anions. Haüyne crystallizes in the isometric system forming rare dodecahedral or pseudo-octahedral crystals that may reach 3 cm across; it also occurs...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

tetrahedral number, the sum of the first ten triangular numbers, and a dodecahedral number. If all of the diagonals of a regular decagon are drawn, the resulting...

equal areas is the regular hexagonal tiling. Related to Thue's theorem. Dodecahedral conjecture The volume of the Voronoi polyhedron of a sphere in a packing...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

well as being a stellation of a (smaller) dodecahedron. It is the only dodecahedral stellation with this property, apart from the dodecahedron itself. Its...

projection of the tesseract into three-dimensional space has a rhombic dodecahedral envelope. Two vertices of the tesseract are projected to the origin....

these honeycombs are produced: the rhombic dodecahedral honeycomb for FCC, and the trapezo-rhombic dodecahedral honeycomb for HCP. Spherical bubbles appear...

visualized as an atom cluster surrounding a central atom, that is, the dodecahedral molecular geometry. Its vertices may be placed on a sphere and can also...

icosahedral pyramids augmented together at their bases. It is the dual of a dodecahedral prism, Coxeter-Dynkin diagram , so the bipyramid can be described as...

the number of four-digit perfect powers in decimal. It is the third dodecahedral number, and the sum of the first seven triangular numbers (1, 3, 6, 10...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Dodecahedral quasicrystal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

isometric system hexoctahedral class, appearing as cubic, octahedral, or dodecahedral forms, or in combinations. Penetration twins frequently occur. In spite...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

honeycomb Disphenoid tetrahedral honeycomb Rhombic dodecahedral honeycomb Others Trapezo-rhombic dodecahedral honeycomb Weaire–Phelan structure Convex uniform...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

5:2-coloring of Dodecahedral graph. A 4:2-coloring of this graph does not exist....

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Riazuelo, Alain; Lehoucq, Roland; Uzan, Jean-Philippe (October 9, 2003). "Dodecahedral space topology as an explanation for weak wide-angle temperature correlations...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Clathrate hydrate cages. The 512 dodecahedral and 51262 tetrakaidecahedral cages occur in structure I hydrates....

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Snub dodecahedral prism (sniddip) sr{5,3}×{ } 2 3.3.3.3.5 80 3.4.4 12 4.4.5 94 160 {3} 150 {4} 24 {5} 360 120 Nonuniform Omnisnub dodecahedral antiprism...

A perspective projection of a dodecahedral tessellation in H3. Note the recursive structure: each pentagon contains smaller pentagons, which contain smaller...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Paquette in 1982, primarily for the "aesthetically pleasing symmetry of the dodecahedral framework". For many years, dodecahedrane was the simplest real carbon-based...

represents the snub dodecahedron-first projection of the nonuniform snub dodecahedral antiprism. Compound of two icosahedra Compound of two snub cubes Skilling...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

five-fold symmetry, called pentaliths. With 12 sides, it has a regular dodecahedral structure, approximately 10 micrometers across. Braarudosphaera bigelowii...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

sides are cubes, it becomes a tesseract: {4,3}×{ } = {4,3,3}. Example: , Dodecahedral prism, {5,3}×{ }, two parallel dodecahedra connected by 12 pentagonal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

around each edge, and 12 icosahedra around each vertex, in a regular dodecahedral vertex figure. It is analogous to the 24-cell and the 5-cell. A geometric...

cubic crystal system and occurs as well formed cubic, octahedral and dodecahedral crystals. It is a member of the periclase group. It was first described...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

hydration cage. Part of the crystal structure of ikaite. Ca (blue) is in dodecahedral coordination with O atoms (red) of the carbonate (black planar) and water...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

(disambiguation) Doping (disambiguation) Rope-a-dope (disambiguation) Dodecahedral prism All pages with titles beginning with Dope This disambiguation page...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

tetrahedra occurs embedded in 4-dimensional space, inscribed in the 120 dodecahedral cells of the 120-cell. The 120-cell is the largest and most comprehensive...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cuboctahedral prism, snub cubic prism, dodecahedral prism, icosidodecahedral prism, icosahedral prism, truncated dodecahedral prism, rhombicosidodecahedral prism...

dodecahedron, and is topologically equivalent to it. The net of the rhombic dodecahedral pyramid also shares the same topology. It has Oh octahedral symmetry...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

tiling honeycomb {4,4,4} {4,4} {4} {4} {4,4} Self-dual [4,4,4] Order-6 dodecahedral honeycomb {5,3,6} {5,3} {5} {5} {3,6} {6,3,5} [6,3,5] Order-5 hexagonal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cubical graph 5 60 24 24 icosidodecahedral graph 4 60 30 120 truncated dodecahedral graph 3 90 60 120 truncated icosahedral graph 3 90 60 120 rhombicosidodecahedral...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

hemi-icosahedral facets and hemi-dodecahedral vertex figures. The 57-cell is also self-dual, with hemi-dodecahedral facets. It was discovered by H. S...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

A pentagon decomposed into six smaller pentagons (half a dodecahedral net) with gaps...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Smallest zero-symmetric graph 18 [5,−5]9 Desargues graph 20 [5,−5,9,−9]5 Dodecahedral graph 20 [10,7,4,−4,−7,10,−4,7,−7,4]2 McGee graph 24 [12,7,−7]8 Truncated...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

OEIS Foundation. Sloane, N. J. A. (ed.). "Sequence A005917 (Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4)". The On-Line Encyclopedia of Integer...

the Platonic solids: Tetrahedral Octahedral (or cubic) Icosahedral (or dodecahedral) Any shapes with icosahedral or octahedral symmetry will also contain...

graph – 8 vertices, 12 edges Icosahedral graph – 12 vertices, 30 edges Dodecahedral graph – 20 vertices, 30 edges A polyhedral graph is the graph of a simple...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

of icosahedron. All 20 vertices and 30 of its 60 edges belong to its dodecahedral hull. The 30 other internal edges are longer and belong to a great stellated...

conjecture sphere packing 1998 Thomas Callister Hales and Sean McLaughlin dodecahedral conjecture Voronoi decompositions 2000 Krzysztof Kurdyka, Tadeusz Mostowski...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

honeycombs t0,3{4,3,5} Runcinated order-5 cubic honeycomb t0,3{3,5,3} Runcinated icosahedral honeycomb t0,3{5,3,5} Runcinated order-5 dodecahedral honeycomb...

The Pyraminx Crystal is a dodecahedral puzzle similar to the Rubik's Cube and the Megaminx. It is manufactured by Uwe Mèffert and has been sold in his...

a synthetic polymer 15-Cis-phytoene desaturase, an enzyme Poincaré dodecahedral space Power delivery system Particularly dangerous situation, special...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

becoming green when heated. Crystal habit Euhedra typically display rhombic dodecahedral form, but trapezohedra are not uncommon, and hexoctahedra are seen in...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

the rhombic dodecahedron or the rhombic triacontahedron or the rhombic dodecahedral honeycomb or the rhombic icosahedron or the rhombic hexecontahedron or...

M3V(O2)4 nH2O (M= Li, Na, etc.), in which the vanadium has an 8-coordinate dodecahedral structure. Twelve binary halides, compounds with the formula VXn (n=2...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

the four long diagonals of a cube. It tiles space to form the rhombic dodecahedral honeycomb. The Bilinski dodecahedron, another less-symmetric form of...

and has minimal angle strain; the tetrahedral angle is 109.5° and the dodecahedral angle is 108°, only a slight discrepancy. The tetravalency (4-connectedness)...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

1 {\displaystyle +1} , then the surgered 3-manifold is the Poincaré dodecahedral space. Every closed, orientable, connected 3-manifold is obtained by...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Goodman-Strauss call it an oblate cubille. This honeycomb can be seen as a rhombic dodecahedral honeycomb, with the rhombic dodecahedra dissected with its center into...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

picornaviruses. The viral particles themselves are not enveloped and are dodecahedral in structure. The viral proteins are translated as a single long polypeptide...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

habit Water splash approximates radial symmetry. Garnet showing rhombic dodecahedral crystal habit Sea anemones have rotational symmetry. Volvox has spherical...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

⁠5/2⁠} (an icosahedral 120-cell), and pD=polydodecahedron {5,3,3} (a dodecahedral 120-cell), with prefix modifiers: g, a, and s for great, (ag)grand, and...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

Quintrino by Bathsheba Grossman, 2007, a sculpture with dodecahedral symmetry...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

biological creatures, as in The Braarudosphaera bigelowii has a regular dodecahedral structure. Ernst Haeckel described a number of species of radiolarians...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

present in fluorite and diamond, and sphalerite has six-directional dodecahedral cleavage. Minerals with many cleavages might not break equally well in...

32 Å3; Z = 8 Identification Color Green, brownish–green Crystal habit Dodecahedral crystals and anhedral grains Cleavage None Mohs scale hardness 6–7 Luster...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

coordinates: [2] (0, 0, 0; ±1) [8] (±1, ±1, ±1; 0) Tetrahedral bipyramid Dodecahedral bipyramid Icosahedral bipyramid "Cute". "Hanner polytopes". Cubic tegum...

Vertex normals of a dodecahedral mesh....

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

bipyramid - A lower symmetry form of the as 16-cell. Cubic bipyramid Dodecahedral bipyramid Icosahedral bipyramid https://www.bendwavy.org/klitzing/incmats/tedpy...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Cornwall, England in 1819, where it occurs as small crystals of cubic or dodecahedral form, and was named after the English chemist Smithson Tennant (1761–1815)...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

regular 120-cell is a polychoron, a four-dimensional polytope, with 120 dodecahedral cells, represented by Schläfli symbol { 5 , 3 , 3 } {\displaystyle \{5...

Archer (Harvey Mudd College) 1999 Winner: Sean McLaughlin (Proof of the Dodecahedral Conjecture, University of Michigan) Honorable mention: Samit Dasgupta...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

exotic bonding schemes are also known. Carboranes are highly stable dodecahedral derivatives of the [B12H12]2- unit, with one BH replaced with a CH+....

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

The Cairo pentagonal tiling, V3.3.4.3.4, is isohedral. The rhombic dodecahedral honeycomb is isohedral (and isochoric, and space-filling). A square tiling...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

coatings or irregular masses. It may also occur as cubic, octahedral, or dodecahedral crystals. It may occur alloyed with gold as electrum. It often occurs...

order-6 cubic honeycomb, order-4 octahedral honeycomb, and order-6 dodecahedral honeycomb; here the order refers to the number of cells meeting at each...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

A perspective projection of a dodecahedral tessellation in H3. Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic...

but explicitly known, and includes the lens spaces and the Poincaré dodecahedral space. The case of Euclidean and hyperbolic space forms can likewise...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

The 120-cell (or hecatonicosachoron) is a convex regular 4-polytope consisting of 120 dodecahedral cells....

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

171 faces and edges in the 57-cell, an abstract 4-polytope with hemi-dodecahedral cells that is its own dual polytope. Within moonshine theory of sporadic...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

and three circles through each point. Its Levi graph is the rhombic dodecahedral graph, the skeleton of the rhombic dodecahedron. The configuration is...

1998) Kepler conjecture (Samuel Ferguson, Thomas Callister Hales, 1998) Dodecahedral conjecture (Thomas Callister Hales, Sean McLaughlin, 1998) Dinitz–Garg–Goemans...

trigonal prismatic TaF72− 8 Square antiprismatic sp3d4 hybridisation ReF8− Dodecahedral Mo(CN)84− Bicapped trigonal prismatic ZrF84− 9 Tricapped trigonal prismatic...

with more than one chiral form. The smallest possible fullerene is the dodecahedral C 20. There are no fullerenes with 22 vertices. The number of different...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Conway ±1/60[IxI]). This group represents the construction of the snub dodecahedral antiprism, , although it can't be made uniform. An ionic subgroup is...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

Dodecahedron 120-cell 12 pentagon faces in the plane 120 dodecahedral cells in 3-space...

per unit cell (1⁄8 × 8 + 1). The corresponding shape is the rhombic dodecahedral honeycomb or hexakis cubic honeycomb. The face-centered cubic lattice...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

multiple boron atoms reacting with each other have a tendency to form novel dodecahedral (12-sided) and icosahedral (20-sided) structures composed completely...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Burning Man in 2023 as a special Arts Honoraria project. The 12-foot tall dodecahedral artwork, externally skinned with black panels containing 2240 acrylic...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

fluid composition are important controls. Sphalerite possesses perfect dodecahedral cleavage, having six cleavage planes. In pure form, it is a semiconductor...

any trigons on the octahedral faces (111) or noticeable striae on the dodecahedral faces (110) and the crystallographic orientation was derived from the...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

7 Capped trigonal prismatic TaF2− 7 ML8 Square antiprismatic ReF− 8 Dodecahedral Mo(CN)4− 8 Bicapped trigonal prismatic ZrF4− 8 ML9 Tricapped trigonal...

representations of the corresponding fullerene compounds. 20-fullerene (dodecahedral graph) 24-fullerene (Hexagonal truncated trapezohedron graph) 26-fullerene...

cells) 27 unique convex dual uniform honeycombs, including: Rhombic dodecahedral honeycomb Disphenoid tetrahedral honeycomb Others: Weaire–Phelan structure...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

also isotropic. But here again, its low hardness (2.5–4) and perfect dodecahedral cleavage preclude sphalerite's wide use in jewelry. Two calcium-rich...

and resting on a few of their surfaces are sharp, lustrous, snow-white dodecahedral crystals of londonite. In Tsarafara in the Sahatany Valley, Vakinankaratra...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Capped octahedral or capped trigonal prismatic for seven-coordination Dodecahedral or bicapped trigonal prismatic for eight-coordination Capped square antiprismatic...

475.4 g/mol Color White or colorless Crystal habit trisoctahedral or dodecahedral crystals or granular masses Cleavage None Tenacity Brittle Mohs scale...

2D Euclidean space. Its three dimensional equivalent is the rhombic dodecahedral honeycomb, derived from the most dense packing of spheres in 3D Euclidean...

Field", Astrophys. J. Suppl. 61, 219–248 (1986) J.-P. Luminet et al., "Dodecahedral space topology as an explanation for weak wide-angle temperature correlations...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

great 120-cell honeycomb. It can be constructed by replacing the great dodecahedral cells of the great 120-cell honeycomb with their icosahedral convex hulls...

lower-symmetry construction of index 120, [6,(3,5)*], exists with regular dodecahedral fundamental domains, and an icosahedral Coxeter-Dynkin diagram with 6...

such as: Pyraminx, a pyramid-shaped puzzle. Megaminx, a twelve-sided dodecahedral puzzle solved similarly to a 3x3x3. Skewb, a cube-shaped and corner turning...

achieved using a spherical distribution aligning 12 speakers in a so-called dodecahedral configuration, as illustrated by Brüel & Kjær OmniPower Sound Source...

(stretched/compressed square antiprismatic molecular geometry) DD-8 [8do] dodecahedral Dodecahedral molecular geometry HBPY-8 [8by] hexagonal bipyramid OCT-8 - octahedron...

Prismatic calcite Prismatic calcite Stalactitic calcite Hexagonal calcite Dodecahedral calcite Bipyramidal calcite Druse calcite Twinned calcite Globular calcite...

somewhat distorted square antiprisms. The other tetrahalides instead have dodecahedral geometry. Lower iodides ThI3 (black) and ThI2 (gold-coloured) can also...

pentagram); all of these are the final stellations of the n-dimensional "dodecahedral-type" pentagonal polytope. It has the same edge arrangement as the great...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

achieved by putting a rhombicuboctahedron in each cell of the rhombic dodecahedral honeycomb, and it cannot be surpassed, since otherwise the optimal packing...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

like a small rhombidodecahedron with {10/2} polygons filling up the dodecahedral set of holes), but it has a uniform quasitruncation, the truncated dodecadodecahedron...

the two nations. The mausoleum is built of yellow limestone and has a dodecahedral (polygonal) body finished with a pyramidal marquee. The internal area...

groups have suggested that the shape of the universe may be the Poincaré dodecahedral space. Is the shape unmeasurable, the Poincaré space, or another 3-manifold...

spectrum of linear excitations. Close packing of spheres generates a dodecahedral tessellation with pentaprismic faces. Pentaprismic symmetry is related...

Silvina; Bacelo, Daniel E.; Binning, R.C. (June 2012). "A DFT study of dodecahedral beryllium silicide cage clusters". Chemical Physics Letters. 537: 75–79...

The regular hyperbolic dodecahedral honeycomb, {5,3,4}...

made, as well as many other geometric shapes such as tetrahedral and dodecahedral. With a varying orientation of the axis of rotation a variety of puzzles...

honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973...

[SiO4]4− occupying the tetrahedra. Garnets are most often found in the dodecahedral crystal habit, but are also commonly found in the trapezohedron habit...

honeycomb {4,3,4} with cubic cells, and compact hyperbolic {5,3,4} with dodecahedral cells, and paracompact {6,3,4} with infinite hexagonal tiling cells....

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

{\displaystyle {\tilde {B}}_{3}} , [4,31,1] Dual Dodecahedrille rhombic dodecahedral honeycomb Cell: Properties vertex-transitive, edge-transitive, quasiregular...

example(s) Cubic Halite Pyrite Cube-shaped fluorite, pyrite, galena, halite Dodecahedral Pyrite Almandine Dodecahedron-shaped, 12-sided. Central facet can vary...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

and colorless. The majority are sharp-edged octahedra, but ~45% were dodecahedral due to resorption of octahedra. Inclusions of garnet, olivine, clinopyroxene...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

A Ho–Mg–Zn dodecahedral quasicrystal formed as a pentagonal dodecahedron, the dual of the icosahedron. Unlike the similar pyritohedron shape of some cubic-system...

arrangement is square antiprismatic in protactinium(IV) fluoride and dodecahedral in the chloride and bromide. Brown-colored protactinium(III) iodide has...

they devised prototype mechanisms (for example, the 'pulsina') based on dodecahedral inversion. These ideas directly led to two applications: the turbula...

FDM printing. The Minx of Madness was revealed in May 2022. It is the dodecahedral equivalent to a 21×21×21 Rubik's cube. Alexander's Star is equivalent...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Manor of Gondailly is 15th-century with 19th-century reconstruction; A dodecahedral washhouse is under restoration; The James Joyce Museum is located in...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

The tesseract has 3 cubic cells (3-faces) per edge. The 120-cell has 3 dodecahedral cells (3-faces) per edge. The cubic honeycomb fills Euclidean 3-space...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

and icosidodecahedron, respectively. The small stellated dodecahedral (or great dodecahedral) dual compound has the great dodecahedron completely interior...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

compact hyperbolic tessellations including {5,3,4}, the hyperbolic small dodecahedral honeycomb, which fills space with dodecahedron cells. If a 4-polytope's...

G(4,1)} , the Petersen graph G ( 5 , 2 ) {\displaystyle G(5,2)} , the dodecahedral graph G ( 10 , 2 ) {\displaystyle G(10,2)} , the Desargues graph G (...

distinct 24-cells inscribed in the 120-cell, a regular 4-polytope with 120 dodecahedral cells that is the convex hull of the compound of 25 disjoint 24-cells...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

3} {4} {5} {3,5} 0 {5,3,4} Order-4 dodecahedral honeycomb {5,3,4} {5,3} {5} {4} {3,4} 0 {4,3,5} Order-5 dodecahedral honeycomb {5,3,5} {5,3} {5} {5} {3...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

- pyramidal and pinacoid - platy). Crystal forms (cubic, octahedral, dodecahedral). Aggregation of crystals or aggregates (fibrous, botryoidal, radiating...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

magic number as in nuclear physics) might place the hydronium inside a dodecahedral cage. However, more recent ab initio method molecular dynamics simulations...

church. It was badly damaged during the Civil War, in particular, the dodecahedral hipped drum, the upper hipped tier of the bell tower and the roof were...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

grossular series of garnetoids, colophonite forms crystals of rhombic dodecahedral and tetragontrioctahedral shapes. Cleavage is absent or very imperfect...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube face, 100 times harder than the softest direction, which is the dodecahedral plane. The octahedral plane is intermediate between the two extremes...

honeycomb, and order-4 120-cell honeycomb. It is analogous to the order-5 dodecahedral honeycomb and order-5 pentagonal tiling. The birectified order-5 120-cell...

honeycomb is also related to the 16-cell, cubic honeycomb and order-4 dodecahedral honeycomb, all of which have octahedral vertex figures. The aforementioned...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cycle phase), Braarudosphaera (pentagonal, laminated nannoliths forming dodecahedral coccospheres); Calciosolenia (distinct, rhombic murolith coccoliths)...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

icosahedral graph is the edge graph of the regular icosahedron. The dodecahedral graph is the edge graph of the regular dodecahedron. The Schläfli graph...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

the five cities initially mapped by Street View, using its patented dodecahedral camera array on a moving car. Immersive Media continued to do image capture...

M3V(O2)4 nH2O (M= Li, Na, etc.), in which the vanadium has an 8-coordinate dodecahedral structure. Niobates are generated by dissolving the pentoxide in basic...

won the Levi L. Conant Prize for his expository paper, "The Poincaré Dodecahedral Space and the Mystery of the Missing Fluctuations" (Notices of the AMS...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

trigonal prismatic molecular geometry, and snub disphenoid represents the dodecahedral molecular geometry. The regular icosahedron along with some other deltahedra...

their applications". 2007: Jeffrey Weeks for his article "The Poincaré dodecahedral space and the mystery of the missing fluctuations". 2006: Ronald Solomon...

[TaF8]3− in Na3[TaF8] [Zr(H2O)8]4+ aqua complex Thorium(IV) iodide 8 dodecahedral (note: whilst this is the term generally used, the correct term is "bisdisphenoid"...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

convex honeycomb) t1,2{3,5,3} truncated dodecahedron Bitruncated order-5 dodecahedral honeycomb (Uniform hyperbolic convex honeycomb) t1,2{5,3,5} truncated...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

Jeffrey R.; Riazuelo, Alain; Lehoucq, Roland; Uzan, Jean-Philippe (2003). "Dodecahedral space topology as an explanation for weak wide-angle temperature correlations...

cross-section of {3,4,3,3} by one of these hyperplanes gives a rhombic dodecahedral honeycomb. Each of the rhombic dodecahedra corresponds to a maximal cross-section...

called sII) clathrate structure, with two distinct cage types: 16 smaller dodecahedral (12-faced) cages and 8 larger hexakaidecahedral (16-faced) cages per...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

icosahedral or dodecahedral Rhinovirus snub dodecahedron human polio virus Ih E 12C5 12C52 20C3 15C2 i 12S10 12S103 20S6 15σ icosahedral or dodecahedral Buckminsterfullerene...

structure was conjectured to be analogous to that of the hypothetical dodecahedral fullerene C20. However, this claim was soon disputed by Linus Pauling...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cubic metres of gas. Methane forms a "structure-I" hydrate with two dodecahedral (20 vertices, thus 20 water molecules) and six tetradecahedral (24 water...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

symmetry. The 16-cell is also related to the cubic honeycomb, order-4 dodecahedral honeycomb, and order-4 hexagonal tiling honeycomb which all have octahedral...

include movable floor and wall elements. Small movable and recombinable dodecahedral units, called "éclaireuses", are available for use as, for example, dressing...

This polyhedron along with the cube is space-filling, like the rhombic dodecahedral honeycomb. Six diminished points come together to form cubic holes. It...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

of regular polytopes and honeycombs with {p,5,3} Schläfli symbol, and dodecahedral vertex figures: In the geometry of hyperbolic 3-space, the order-5-3...

graph, the Pappus graph, the Coxeter graph, the Tutte–Coxeter graph, the Dodecahedral graph, the Desargues graph, Tutte 12-cage, the Biggs–Smith graph, and...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

1), the Petersen graph G(5, 2), the Möbius–Kantor graph G(8, 3), the dodecahedral graph G(10, 2) and the Nauru graph G(12, 5). The characteristic polynomial...

dihydrolipoyl transacetylase enzymes can arrange together into either a cubic or dodecahedral shape. These structure then form the catalytic core of the pyruvate dehydrogenase...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

{\displaystyle (0,30s,0)} for the dodecahedron. It has 30 edges with dodecahedral dihedral angles. ( 0 , 0 , 30 s ) {\displaystyle (0,0,30s)} for the icosahedron...

card, as well as 6 defense cards and the 4 small carrot cards. A red dodecahedral die is also included. The Violet booster deck (2003) adds Specialty Bunnies...

Brieskorn homology spheres (excepting the 3-sphere and the Poincaré dodecahedral space). This geometry can be modeled as a left invariant metric on the...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

; Hyam Rubinstein, J.; Tillmann, Stephan (2009). "The Weber-Seifert dodecahedral space is non-Haken". Transactions of the American Mathematical Society...

sulfides, usually banded and foliated pentlandite-pyrrhotite-pyrite. Dodecahedral pyrite crystals to 20 cm are formed within the massive sulfide zones...

arrangement is square antiprismatic in protactinium(IV) fluoride and dodecahedral in the chloride and bromide. Brown-colored protactinium(III) iodide has...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

reference room. The latter, now used as a community meeting room, is a dodecahedral annexe, erected mainly out of funds collected locally, as a War Memorial...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

red: colorless to pink in thin section Crystal habit Octahedral and dodecahedral crystals, typically massive or as segregations Cleavage {111} and {111}...

diagram Picture (Stereographic projection) 16-cell cubic honeycomb order-4 dodecahedral honeycomb (Beltrami–Klein model) order-4 hexagonal tiling honeycomb (Poincaré...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

1893): The species in this genus is tetrasporocystic and dizoic, and have dodecahedral sporocysts composed of two hexagonal, pyrimidal valves joined at their...

The fossil coccolithophore Braarudosphaera bigelowii has an unusual shell with a regular dodecahedral structure about 10 micrometers across....

two bidentate nucleosides around a central metal atom are tetrahedral, dodecahedral, and square planar. Metal-complexing with DNA can occur by the formation...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

truncation of the regular 120-cell 4-polytope. It is made of 120 truncated dodecahedral and 600 tetrahedral cells. It has 3120 faces: 2400 being triangles and...

Name Tetrahedral cupola Cubic cupola Octahedral cupola Dodecahedral cupola Hexagonal tiling cupola Schläfli symbol {3,3} || rr{3,3} {4,3} || rr{4,3} {3...

A perspective projection of a dodecahedral tessellation in H3. This is an example of what an observer might see inside a hyperbolic 3-manifold....

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

of the villa is the dodecahedron fountain, featuring a sculpture of a dodecahedral marble clock created by the mathematician Lorenzo Federici, each face...

2)} , the Möbius–Kantor graph G ( 8 , 3 ) {\displaystyle G(8,3)} , the dodecahedral graph G ( 10 , 2 ) {\displaystyle G(10,2)} and the Desargues graph G...

sporocysts have four sporocysts each with two sporozoites. They are dodecahedral in shape and are composed of two hexagonal, pyramidal valves joined at...

honeycomb Rectified cubic honeycomb Cubic honeycomb [5,3,4] Order-4 dodecahedral Rectified order-4 dodecahedral Rectified order-5 cubic Order-5 cubic...

Rajwa Seif in 2023. At the time of discovery, the diamond had a rhombic dodecahedral form with obtuse angles and twenty four facets. There was a deep depression...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

variety of geometries including tetrahedral, octahedral, cubic, and dodecahedral. These geometries are then layered with different minerals between them...

PMC 10476612. Wright, James S.; McKay, Daniel J.; Dilabio, Gino A. (1998). "Dodecahedral molecular nitrogen (N20) and related structures". Journal of Molecular...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

site is surrounded by five O atoms and three H2O atoms in a triangular dodecahedral arrangement with a Na3-Φ distance of 2.64 Å. There is only one magnesium...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

solid hydrates are known with 8-coordination in square antiprism and dodecahedral geometry. In water, calcium and strontium are most probably eight-coordinate...

The Wigner–Seitz cell of the face-centered cubic lattice is a rhombic dodecahedron. In mathematics, it is known as the rhombic dodecahedral honeycomb....

Descartes snark 210 315 N/A N/A 5 N/A N/A 4 Diamond graph 4 5 1 2 3 T 3 3 Dodecahedral graph (20-fullerene) 20 30 5 5 5 T 3 3 Double-star snark 30 45 4 4 6...

Chemical formula Cu2OSeO3 Molar mass 270.059 g/mol Appearance Green dodecahedral crystals Density 5.1 g/cm3 Band gap 2.5 eV Thermal conductivity 400 W/(m·K)...

Poincaré sphere). The Poincaré homology sphere, also called Poincaré dodecahedral space, is a particular example of a homology sphere. Being a spherical...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

pentagonal prism to each face of the dodecahedron. It is the net of a dodecahedral prism. The hexakis truncated icosahedron is a convex polyhedron constructed...

to vesicles causes a hemispherical shape exhibiting 5 to 6 planes of dodecahedral planes. In the vesicular walls, they appear to be dark brown to black...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

The trapezo-rhombic dodecahedron, the prototile of the trapezo-rhombic dodecahedral honeycomb and the plesiohedron generated by the hexagonal close-packing...

Archimede construction systems are construction techniques achieving rhombic dodecahedral shapes, a space-filling geometry Archimède (band), a French rock band...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

tetrahedral-dodecahedral duoprisms. 9 B32 [4,3,2,4,3] Family based on cubic duoprisms. 10 B3H3 [4,3,2,5,3] Family based on cubic-dodecahedral duoprisms...

Schläfli symbols Cells by type Element counts Cells Faces Edges Vertices 57 Dodecahedral prism (dope) {5,3}×{} 2 5.5.5 12 4.4.5 14 30 {4} 24 {5} 80 40 58 Icosidodecahedral...

octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers non-centered Cube numbers Octahedral numbers Dodecahedral numbers Icosahedral numbers...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

M3V(O2)4 nH2O (M= Li, Na, etc.), in which the vanadium has an 8-coordinate dodecahedral structure. Twelve binary halides, compounds with the formula VXn (n=2...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

sphere with non-trivial fundamental group—for instance, the Poincaré dodecahedral space in 3 dimensions. Stable normal bundle Rudyak, Yu.B. (2001) [1994]...

elements of chiral tetrahedral symmetry, as do octahedral symmetry and dodecahedral symmetry, then all three moments of inertia will be equal and the axis...

1967, it was replaced by a larger 142-seat facility in a distinctive dodecahedral (12-sided) building equipped with a new projector. By the mid-1980s,...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

honeycombs in hyperbolic space List of regular polytopes Infinite-order dodecahedral honeycomb Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973...

28 4 7 {3,2,2,1;1,1,1,2} Tutte–Coxeter graph 30 4 8 {3,2,2,2;1,1,1,3} Dodecahedral graph 20 5 5 {3,2,1,1,1;1,1,1,2,3} Desargues graph 20 5 6 {3,2,2,1,1;1...

of regular polytopes and honeycombs with {p,6,3} Schläfli symbol, and dodecahedral vertex figures: In the geometry of hyperbolic 3-space, the order-6-3...

both large cavities (tetrakaidecahedral) and small cavities (pentagonal dodecahedral). Researchers believed that oceans and permafrost have immense potential...

cube Centered octahedral Centered dodecahedral Centered icosahedral non-centered Tetrahedral Cubic Octahedral Dodecahedral Icosahedral Stella octangula pyramidal...

can be considered a transitional phase between the cubic and rhombic dodecahedral honeycombs. Here, the cells are colored white, red, and blue based on...

The order-4 dodecahedral honeycomb, {5,3,4} in perspective...

Index Name Symmetry group Picture Facets (icosahedral planes) Facets (dodecahedral planes) 12 Icosidodecahedron (regular) Ih 47 (First stellation of icosidodecahedron)...

Kosmos and Kosmos-2I launchers, with seven failing to reach orbit. The dodecahedral satellites had a mass of 193–240 kilograms (425–529 lb) and an operational...