a cantellated 5-cube is a convex uniform 5-polytope, being a cantellation of the regular 5-cube. There are 6 unique cantellation for the 5-cube, including...

of them are more easily constructed from the dual 5-cube. Cantellated 5-orthoplex Bicantellated 5-demicube Small rhombated triacontiditeron (Acronym:...

geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube. There are 8 cantellations for the 6-cube, including...

triangular prisms), and 27 4-faces (6 cantellated 5-cell, 6 rectified 5-cells, and 15 tetrahedral prisms). Cantellated hexateron Small rhombated hexateron...

a cantellated 7-cube is a convex uniform 7-polytope, being a cantellation of the regular 7-cube. There are 10 degrees of cantellation for the 7-cube, including...

the 5-cube. Runcic 5-cubes have half the vertices of runcinated 5-cubes. Cantellated 5-demicube/demipenteract Small rhombated hemipenteract (sirhin) (Jonathan...

It has half the vertices of a cantellated 5-cube. The Cartesian coordinates for the 160 vertices of a cantic 5-cube centered at the origin and edge...

4-polytope Rectified 5-cell, Truncated 5-cell, Cantellated 5-cell, Runcinated 5-cell Rectified tesseract, Truncated tesseract, Cantellated tesseract, Runcinated...

In four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract...

octahedron; the vertex figure is a nonuniform triangular prism. Cantellated pentachoron Cantellated 4-simplex (small) prismatodispentachoron Rectified dispentachoron...

Truncated 5-demicube, Cantellated 5-demicube, Runcinated 5-demicube 5-cube, Rectified 5-cube, Truncated 5-cube, Cantellated 5-cube, Runcinated 5-cube, Stericated...

constructed from a cube by drawing a smaller one in the middle of each face, parallel to the cube's edges. After removing the edges of a cube, the squares may...

by 48 cells: 24 cubes, and 24 cuboctahedra. It can be obtained by rectification of the 24-cell, reducing its octahedral cells to cubes and cuboctahedra...

all convex: {3,3,3,3} - 5-simplex {4,3,3,3} - 5-cube {3,3,3,4} - 5-orthoplex There are no nonconvex regular polytopes in 5 dimensions or above. Unsolved...

This polyhedron is topologically related as a part of a sequence of cantellated polyhedra with vertex figure (3.4.n.4), which continues as tilings of...

honeycomb) in Euclidean 3-space made up of cubic cells. It has 4 cubes around every edge, and 8 cubes around each vertex. Its vertex figure is a regular octahedron...

hyperbolic 3-space. With Schläfli symbol {4,3,5}, it has five cubes {4,3} around each edge, and 20 cubes around each vertex. It is dual with the order-4 dodecahedral...

convex regular 8-polytopes: {3,3,3,3,3,3,3} - 8-simplex {4,3,3,3,3,3,3} - 8-cube {3,3,3,3,3,3,4} - 8-orthoplex There are no nonconvex regular 8-polytopes...

termed cantellation, lending the cuboctahedron an alternate name of cantellated tetrahedron. From all of these constructions, the cuboctahedron has 14...

meeting at each vertex. Cantellated 120-cell Norman Johnson Cantellated hecatonicosachoron / Cantellated dodecacontachoron / Cantellated polydodecahedron Small...

7-cube, t0,3{4,35}. Small rhombated hemihepteract (Acronym sirhesa) (Jonathan Bowers) The Cartesian coordinates for the vertices of a cantellated demihepteract...

geometry, a runcic 6-cube is a convex uniform 6-polytope. There are 2 unique runcic for the 6-cube. Cantellated 6-demicube Cantellated demihexeract Small...

truncations. The cantellated 24-cell or small rhombated icositetrachoron is a uniform 4-polytope. Acronym: srico. The boundary of the cantellated 24-cell is...

hypercube honeycomb of Euclidean 5-space, the 5-cube honeycomb, with symbols {4,33,4}, = B ~ 5 {\displaystyle {\tilde {B}}_{5}} There are 47 uniform honeycombs...

second set of coordinates coincide with the vertices of an inscribed cantellated tesseract. The regular skew polyhedron, {4,8|3}, exists in 4-space with...

order-5 cubic honeycomb, , has truncated octahedron and truncated icosahedron cells, with a digonal disphenoid vertex figure. The cantellated order-4...

group [(3,3)+,4]. The truncated octahedral cells become icosahedra. The cubes becomes tetrahedra, and 96 new tetrahedra are created in the gaps from the...

truncations. Half of them are more easily constructed from the dual 6-cube Cantellated hexacross Small rhombated hexacontatetrapeton (acronym: srog) (Jonathan...

In seven-dimensional geometry, a cantellated 7-orthoplex is a convex uniform 7-polytope, being a cantellation of the regular 7-orthoplex. There are ten...

envelope is a cube. Two of the truncated cube cells project onto a truncated cube inscribed in the cubical envelope. The other 6 truncated cubes project onto...