polychoron Euler characteristics". MathWorld. Uniform Polychora, Jonathan Bowers Uniform polychoron Viewer - Java3D Applet with sources R. Klitzing, 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:...

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...

truncated dodecahedron and icosidodecahedron. There are ten regular star polychora in the fourth dimension, all of which have orthographic projections in...

polytope. In four dimensions, the 10 regular star polychora are called the Schläfli–Hess polychora. Analogous to the regular star polyhedra, these 10...

is the four-dimensional analogue of the cube. It is one of six regular polychora, with a total of eight cubical cells, hence its name. Its dual figure...

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...

In geometry, the term semiregular polyhedron (or semiregular polytope) is used variously by different authors. In its original definition, it is a polyhedron...

In geometry, an icosidodecahedron or pentagonal gyrobirotunda is a polyhedron with twenty (icosi) triangular faces and twelve (dodeca) pentagonal faces...

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...

vier-dimensionalen Körper, Waren. Klitzing, Richard. "4D uniform polytopes (polychora) x4o3o3o - tes". ken perlin's home page A way to visualize hypercubes...

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...

64 is the tenth self number. In four dimensions, there are 64 uniform polychora aside from two infinite families of duoprisms and antiprismatic prisms...

In geometry, the Schläfli symbol is a notation of the form { p , q , r , . . . } {\displaystyle \{p,q,r,...\}} that defines regular polytopes and tessellations...

are facets inside Kepler–Poinsot star polyhedra and Schläfli–Hess star polychora. There are five Platonic solids in three-dimensional space that are regular:...

polyhedra made of two dimensional polygons, in four dimensions there are polychora made of polyhedra. In three dimensions, there are 5 regular polyhedra...

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...

 404–408) Klitzing, Richard. "4D uniform polytopes (polychora) x3o3o5/2o - gax". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...

Toronto, 1966 Four-dimensional Archimedean Polytopes (German), Marco Möller, 2004 PhD dissertation Klitzing, Richard. "4D uniform polytopes (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)...

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...

Coxeter diagram ∪ Intersection bitruncated tesseract Convex hull 24-cell Polychora 2: 1 tesseract 1 16-cell Polyhedra 24: 8 cubes 16 tetrahedra Faces 56:...

 404–408) Klitzing, Richard. "4D uniform polytopes (polychora) x5/2o5o5/2o - gashi". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...

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...

Marco Möller, 2004 PhD dissertation [1] m55 m62 m60 m64 Convex uniform polychora based on the hecatonicosachoron (120-cell) and hexacosichoron (600-cell)...

 404–408) Klitzing, Richard. "4D uniform polytopes (polychora) o5o3o5/2x - gahi". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...

with this regular 4-polytope one of 104 total four-dimensional uniform polychora, without taking into account the infinite families of uniform antiprismatic...

 404–408) Klitzing, Richard. "4D uniform polytopes (polychora) o5o5/2o5x - gohi". Regular polychora Archived 2003-09-06 at the Wayback Machine Discussion...

Jonathan Bowers Jonathan Bowers - Miscellaneous Uniform Polychora 965. Gudap http://www.polychora.com/12GudapsMovie.gif Archived 2014-02-22 at the Wayback...

3 and 4: The fourth dimension talks about four-dimensional polytopes (polychora), projecting the regular ones stereographically on the three-dimensional...