Search Results: Disdyakis cube


Disdyakis triacontahedron
Jumat, 2026-04-17 09:44:14

triangles in a regular fashion, one ends up with a disdyakis triacontahedron. That is, the disdyakis triacontahedron is the Kleetope of the rhombic triacontahedron...

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Disdyakis dodecahedron
Minggu, 2026-05-24 22:51:53

kisRhombic dodecahedron) Weisstein, Eric W., "Disdyakis dodecahedron" ("Catalan solid") at MathWorld. Disdyakis Dodecahedron (Hexakis Octahedron) Interactive...

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Tetrakis hexahedron
Senin, 2026-04-20 23:06:26

faces divided by vertices, mid-edges, and a central point. Disdyakis triacontahedron Disdyakis dodecahedron Kisrhombille tiling Compound of three octahedra...

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Medial disdyakis triacontahedron
Rabu, 2022-12-28 05:29:58

In geometry, the medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of the uniform truncated dodecadodecahedron. It...

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Dice
Selasa, 2026-06-02 11:27:19

that this die can be used to roll two six-sided dice simultaneously. 48 Disdyakis dodecahedron Each face is a scalene triangle. 50 Icosipentagonal trapezohedron...

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Conway polyhedron notation
Minggu, 2026-04-05 01:12:07

octahedron kO Tetrakis hexahedron kC = mT Deltoidal icositetrahedron oC = oO Disdyakis dodecahedron mC = mO Pentagonal icositetrahedron gC = gO Rhombic triacontahedron...

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Great truncated icosidodecahedron
Kamis, 2024-05-16 13:54:08

\varphi ={\tfrac {1+{\sqrt {5}}}{2}}} is the golden ratio. The great disdyakis triacontahedron (or trisdyakis icosahedron) is a nonconvex isohedral polyhedron...

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Truncated dodecadodecahedron
Rabu, 2023-11-15 09:44:44

circularly shifting (in either direction) the last four elements. The medial disdyakis triacontahedron is a nonconvex isohedral polyhedron. It is the dual of...

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Catalan solid
Selasa, 2026-01-06 20:24:09

14 143.130° Oh deltoidal icositetrahedron 24 kites 48 26 138.118° Oh disdyakis dodecahedron 48 scalene triangles 72 26 155.082° Oh pentagonal icositetrahedron...

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Barycentric subdivision
Rabu, 2026-04-22 20:41:33

of a regular octahedron, is the disdyakis dodecahedron. The degree-6, degree-4, and degree-8 vertices of the disdyakis dodecahedron correspond to the vertices...

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Diamond
Rabu, 2026-05-20 04:34:45

to a cube, octahedron, rhombicosidodecahedron, tetrakis hexahedron, or disdyakis dodecahedron. The crystals can have rounded-off and unexpressive edges...

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Uniform polyhedron
Sabtu, 2026-06-06 16:51:03

Coxeter diagram: . There are 48 triangles, visible in the faces of the disdyakis dodecahedron, and in the alternately colored triangles on a sphere: The...

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List of mathematical shapes
Selasa, 2026-06-02 03:59:31

dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal...

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Octahedral symmetry
Selasa, 2026-05-19 18:59:17

surface). ax + by + cz = 1 gives a polyhedron with 48 faces, e.g. the disdyakis dodecahedron. Faces are 8-by-8 combined to larger faces for a = b = 0...

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Great disdyakis dodecahedron
Sabtu, 2025-05-31 23:20:15

579\,44^{\circ }} . The great disdyakis dodecahedron is topologically identical to the convex Catalan solid, disdyakis dodecahedron, which is dual to...

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Deltoidal icositetrahedron
Sabtu, 2026-06-06 06:01:39

icositetrahedron (dual of the small rhombicuboctahedron) is tightly related to the disdyakis dodecahedron (dual of the great rhombicuboctahedron). The main difference...

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Truncated trihexagonal tiling
Selasa, 2025-06-10 03:34:14

faces of these tilings creates the kisrhombille tiling. (Compare the disdyakis hexa-, dodeca- and triacontahedron, three Catalan solids similar to this...

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First stellation of the rhombic dodecahedron
Kamis, 2026-04-30 19:06:50

Escher's solid is topologically equivalent to the disdyakis dodecahedron, a Catalan solid, which can be seen as a rhombic dodecahedron with shorter rhombic...

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Dodecahedron
Jumat, 2026-06-05 04:33:05

on one that is itself created by enlarging 24 of the 48 faces of the disdyakis dodecahedron.) The crystal model on the right shows a tetartoid created...

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List of polygons, polyhedra and polytopes
Sabtu, 2026-05-09 01:14:46

dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal...

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Kleetope
Selasa, 2026-03-03 20:36:43

of a Kleetope does not need to be a Platonic solid. For instance, the disdyakis dodecahedron is the Kleetope of the rhombic dodecahedron, formed by replacing...

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Cube
Selasa, 2026-06-02 16:40:41

barycentric subdivision of a cube (or its dual, the regular octahedron) is the disdyakis dodecahedron, a Catalan solid. The corner region of a cube can also be...

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31 great circles of the spherical icosahedron
Sabtu, 2026-03-28 21:57:29

projected onto a sphere. Fifteen great circles represent the edges of a disdyakis triacontahedron, the dual of a truncated icosidodecahedron. Six more great...

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Truncated cuboctahedron
Rabu, 2026-05-06 04:58:25

References U11, C23, W15 Properties Semiregular convex zonohedron Colored faces 4.6.8 (Vertex figure) Disdyakis dodecahedron (dual polyhedron) Net...

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Max Brückner
Jumat, 2026-05-29 22:43:44

Vielecke und Vielflache from 1900, including a stellation of the icosahedron and stereographic projections of the disdyakis dodeca- and triacontahedron...

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25 great circles of the spherical octahedron
Selasa, 2023-03-14 20:58:37

projected onto a sphere. Nine great circles represent the edges of a disdyakis dodecahedron, the dual of a truncated cuboctahedron. Four more great circles...

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List of polyhedral stellations
Rabu, 2026-04-15 04:35:45

32 3083 218044256331 Deltoidal icositetrahedron 32 1201 253811894971 Disdyakis dodecahedron 292 ? (14728897413 reflexible) ? Pentagonal icositetrahedron...

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Icosahedral symmetry
Kamis, 2026-05-07 10:46:43

icosahedral rotation group and the full icosahedral group are given by: In the disdyakis triacontahedron one full face is a fundamental domain; other solids with...

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Regular icosahedron
Senin, 2026-04-06 09:16:17

icosahedron Icosian, a set of quaternions with the same symmetry Dehn invariant Disdyakis triacontahedron, a 120-sided convex polyhedron whose faces are the fundamental...

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List of Wenninger polyhedron models
Sabtu, 2025-11-29 22:37:01

disdyakis dodecahedron 2 3 4| 4.6.8 Oh U11 K16 48 72 26 12{4} + 8{6} + 6{8} 16 Truncated icosidodecahedron (Great rhombicosidodecahedron) disdyakis triacontahedron...

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Truncated rhombicosidodecahedron
Jumat, 2024-02-09 07:18:44

240 Symmetry group Ih, [5,3], (*532) order 120 Rotation group I, [5,3]+, (532), order 60 Dual polyhedron Disdyakis hexecontahedron Properties convex...

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Medial
Kamis, 2026-02-26 19:14:15

enclosing triangle's sides Polyhedra: Medial deltoidal hexecontahedron Medial disdyakis triacontahedron Medial hexagonal hexecontahedron Medial icosacronic hexecontahedron...

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Compound of three octahedra
Jumat, 2026-01-30 18:28:19

octahedra. This form as a polyhedron is topologically identical to the disdyakis dodecahedron, which can be seen as rhombic dodecahedron with shorter pyramids...

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Isohedral figure
Jumat, 2026-02-13 02:46:50

Catalan deltoidal icositetrahedron Oh, [4,3], (*432) 48 48 V4.6.8 Catalan disdyakis dodecahedron Oh, [4,3], (*432) 48 24 V34.4 Catalan pentagonal icositetrahedron...

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Point groups in three dimensions
Selasa, 2026-01-13 14:34:34

fundamental domain can be part of an arbitrary plane. For example, in the disdyakis triacontahedron one full face is a fundamental domain of icosahedral symmetry...

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Henry Segerman
Senin, 2026-05-18 21:53:10

they created a "numerically balanced" 120-sided die in the shape of a disdyakis triacontahedron. It is the "biggest, most complex fair die possible"....

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Truncated icosidodecahedron
Rabu, 2026-05-06 05:00:47

References U28, C31, W16 Properties Semiregular convex zonohedron Colored faces 4.6.10 (Vertex figure) Disdyakis triacontahedron (dual polyhedron) Net...

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Solids with icosahedral symmetry
Minggu, 2026-03-01 06:26:59

deltoidal hexecontahedron (Video) rhombicosidodecahedron 60 120 62 kite disdyakis triacontahedron or hexakis icosahedron (Video) truncated icosidodecahedron...

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Triangle group
Kamis, 2026-04-09 15:50:17

resulting tesselation has 4 × 6=24 spherical triangles (it is the spherical disdyakis cube). These groups are finite, which corresponds to the compactness of...

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Sphericity
Rabu, 2026-02-18 14:09:32

}{3}}\,r^{3}} 4 π r 2 {\displaystyle 4\pi \,r^{2}} 1 {\displaystyle 1} Disdyakis triacontahedron 900 + 720 5 11 s 3 {\displaystyle {\frac {900+720{\sqrt...

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Great rhombihexacron
Rabu, 2022-12-28 05:29:40

geometry, it can be seen as visually similar to a Catalan solid, the disdyakis dodecahedron, with much taller rhombus-based pyramids joined to each face...

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Dyakis dodecahedron
Senin, 2025-09-01 18:03:57

dodecahedron can be constructed by enlarging 24 of the 48 faces of the disdyakis dodecahedron and is inscribed in the dyakis dodecahedron,[page needed]...

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Great truncated cuboctahedron
Rabu, 2025-04-09 18:31:58

Symmetry group Oh, [4,3], *432 Index references U20, C67, W93 Dual polyhedron Great disdyakis dodecahedron Vertex figure 4.6/5.8/3 Bowers acronym Quitco...

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Compound of five octahedra
Rabu, 2025-06-25 02:42:46

stereographic projections of this compound look the same as those of the disdyakis triacontahedron. But the convex solid's vertices on 3- and 5-fold symmetry...

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D120
Minggu, 2023-05-14 12:37:36

D120 may refer to: D120 road (Croatia), a state road on island of Mljet Disdyakis triacontahedron, a 120-sided polyhedron, written as "d120" in dice notation...

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Truncated rhombicuboctahedron
Senin, 2026-04-06 05:52:26

Symmetry group Oh, [4,3], (*432) order 48 Rotation group O, [4,3]+, (432), order 24 Dual polyhedron Disdyakis icositetrahedron Properties convex, zonohedron...

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Great rhombihexahedron
Rabu, 2023-09-27 15:40:21

geometry, it can be seen as visually similar to a Catalan solid, the disdyakis dodecahedron, with much taller rhombus-based pyramids joined to each face...

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Cubitruncated cuboctahedron
Sabtu, 2023-03-04 12:02:38

permutations of (±(√2−1), ±1, ±(√2+1)) The tetradyakis hexahedron (or great disdyakis dodecahedron) is a nonconvex isohedral polyhedron. It has 48 intersecting...

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