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...

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...

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

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...

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

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

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

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

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...