4-polytope (redirect from Polychora)
polychoron Euler characteristics". MathWorld. Uniform Polychora, Jonathan Bowers Uniform polychoron Viewer - Java3D Applet with sources R. Klitzing, polychora...
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Regular 4-polytope (redirect from Regular convex polychora)
4-polytopes are the complete set of 10 regular self-intersecting star polychora (four-dimensional polytopes). They are named in honor of their discoverers:...
27 KB (1,648 words) - 00:34, 2 August 2024
Uniform 4-polytope (redirect from Uniform polychora)
as polychora, like polyhedra for 3-polytopes, from the Greek roots poly ("many") and choros ("room" or "space"). The names of the uniform polychora started...
134 KB (4,310 words) - 03:16, 24 July 2024
truncated dodecahedron and icosidodecahedron. There are ten regular star polychora in the fourth dimension, all of which have orthographic projections in...
22 KB (2,487 words) - 07:55, 9 September 2024
Star polyhedron (redirect from Uniform star polychora)
polytope. In four dimensions, the 10 regular star polychora are called the Schläfli–Hess polychora. Analogous to the regular star polyhedra, these 10...
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simplest of 9 uniform polychora constructed from the [3,3,3] Coxeter group. It is in the {p,3,3} sequence of regular polychora with a tetrahedral vertex...
38 KB (3,797 words) - 09:00, 5 September 2024
Semiregular polyhedron (redirect from Semiregular polychora)
In geometry, the term semiregular polyhedron (or semiregular polytope) is used variously by different authors. In its original definition, it is a polyhedron...
9 KB (979 words) - 18:13, 15 February 2023
Icosidodecahedron (section Related polychora)
In geometry, an icosidodecahedron or pentagonal gyrobirotunda is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces...
14 KB (1,334 words) - 17:06, 21 August 2024
solids 4 Kepler–Poinsot solids 3 tilings ∞ ∞ ∞ ∞ 4 6 convex polychora 10 Schläfli–Hess polychora 1 honeycomb 4 0 11 ∞ 5 3 convex 5-polytopes 0 3 tetracombs...
47 KB (3,580 words) - 17:01, 29 June 2024
vier-dimensionalen Körper, Waren. Klitzing, Richard. "4D uniform polytopes (polychora) x4o3o3o - tes". ken perlin's home page A way to visualize hypercubes...
25 KB (2,644 words) - 21:19, 2 September 2024
order-7 triangular tiling, {3,7}: The Petrie polygon for the regular polychora {p, q ,r} can also be determined, such that every three consecutive sides...
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64 is the tenth self number. In four dimensions, there are 64 uniform polychora aside from two infinite families of duoprisms and antiprismatic prisms...
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Schläfli symbol (section Polychora and honeycombs)
In geometry, the Schläfli symbol is a notation of the form { p , q , r , . . . } {\displaystyle \{p,q,r,...\}} that defines regular polytopes and tessellations...
38 KB (1,927 words) - 18:57, 9 August 2024
are facets inside Kepler–Poinsot star polyhedra and Schläfli–Hess star polychora. There are five Platonic solids in three-dimensional space that are regular:...
32 KB (3,177 words) - 18:35, 8 September 2024
polyhedra made of two dimensional polygons, in four dimensions there are polychora made of polyhedra. In three dimensions, there are 5 regular polyhedra...
44 KB (5,322 words) - 11:50, 10 August 2024
models of Johnson Solids by Vladimir Bulatov CRF polychora discovery project attempts to discover CRF polychora Archived 2020-10-31 at the Wayback Machine (Convex...
19 KB (1,813 words) - 03:15, 23 August 2024
404–408) Klitzing, Richard. "4D uniform polytopes (polychora) x3o3o5/2o - gax". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...
5 KB (381 words) - 03:37, 24 July 2024
Prismatic uniform 4-polytope (redirect from Prismatic uniform polychora)
Toronto, 1966 Four-dimensional Archimedean Polytopes (German), Marco Möller, 2004 PhD dissertation Klitzing, Richard. "4D uniform polytopes (polychora)"....
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List of regular polytopes (redirect from List of regular polychora)
of faces; the term aggrandizement is given for extension of cells (of polychora), though it appears to be less-commonly used. Coxeter, H. M. S. (1975)...
99 KB (5,372 words) - 18:42, 10 September 2024
smaller dihedral angles, icosahedra can be used as cells in semi-regular polychora (for example the snub 24-cell), just as hexagons can be used as faces...
37 KB (3,867 words) - 04:05, 6 September 2024
Coxeter diagram ∪ Intersection bitruncated tesseract Convex hull 24-cell Polychora 2: 1 tesseract 1 16-cell Polyhedra 24: 8 cubes 16 tetrahedra Faces 56:...
4 KB (398 words) - 19:23, 19 January 2024
404–408) Klitzing, Richard. "4D uniform polytopes (polychora) x5/2o5o5/2o - gashi". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...
3 KB (217 words) - 03:37, 24 July 2024
semiregular polyhedra, two of which have mirror images. 3 semiregular polychora in 4-space: the rectified 5-cell, the rectified 600-cell and the snub...
31 KB (3,702 words) - 22:47, 30 July 2024
Marco Möller, 2004 PhD dissertation [1] m55 m62 m60 m64 Convex uniform polychora based on the hecatonicosachoron (120-cell) and hexacosichoron (600-cell)...
15 KB (707 words) - 03:18, 24 July 2024
404–408) Klitzing, Richard. "4D uniform polytopes (polychora) o5o3o5/2x - gahi". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...
4 KB (225 words) - 03:37, 24 July 2024
with this regular 4-polytope one of 104 total four-dimensional uniform polychora, without taking into account the infinite families of uniform antiprismatic...
5 KB (842 words) - 01:21, 6 May 2024
404–408) Klitzing, Richard. "4D uniform polytopes (polychora) o5o5/2o5x - gohi". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...
4 KB (213 words) - 03:37, 24 July 2024
Jonathan Bowers Jonathan Bowers - Miscellaneous Uniform Polychora 965. Gudap http://www.polychora.com/12GudapsMovie.gif Archived 2014-02-22 at the Wayback...
4 KB (235 words) - 03:21, 24 July 2024
3 and 4: The fourth dimension talks about four-dimensional polytopes (polychora), projecting the regular ones stereographically on the three-dimensional...
2 KB (242 words) - 21:17, 12 May 2024