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family, as . In contrast a full snub 24-cell or omnisnub 24-cell, defined as an alternation of the omnitruncated 24-cell, cannot be made uniform, but it can...

In four-dimensional geometry, the 24-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,4,3}...

Omnitruncated 120-cell / Omnitruncated 600-cell (Norman W. Johnson) Omnitruncated hecatonicosachoron / Omnitruncated hexacosichoron / Omnitruncated polydodecahedron...

within the truncated 24-cell, runcinated 24-cell, and omnitruncated 24-cell, amongst others. 24 is the kissing number in 4-dimensional space: the maximum...

geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell. There are two degrees...

also called a semi-snub 24-cell because it is not a true snub (alternation of an omnitruncated 24-cell). The full snub 24-cell can also be constructed although...

and is the dual to the omnitruncated 5-cell honeycomb, and therefore the Voronoi cell of this lattice is an omnitruncated 5-cell. ∪ ∪ ∪ ∪ = dual of This...

4-space: Truncated 5-cell honeycomb Omnitruncated 5-cell honeycomb Truncated 24-cell honeycomb Rectified 24-cell honeycomb Snub 24-cell honeycomb The sphere...

honeycomb which Coxeter calls Hinton's honeycomb. Omnitruncated 5-cell Omnitruncated pentachoron Omnitruncated 4-simplex Great prismatodecachoron (Acronym:...

geometry, a cantellated 24-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 24-cell. There are 2 unique degrees...

omnitruncated tesseract. The omnitruncated tesseract, omnitruncated 16-cell, or great disprismatotesseractihexadecachoron is bounded by 80 cells: 8 truncated cuboctahedra...

of the snub 24-cell, , s{3,4,3}, (symmetry [3+,4,3], order 576). Other alternations, such as , as an alternation from the omnitruncated tesseract , can...

Coxeter-Dynkin diagram . For p < 6, the members of the sequence are omnitruncated polyhedra (zonohedrons), shown below as spherical tilings. For p > 6...

so the 120-cell is the convex hull of 25 disjoint 24-cells. Each 24-cell is the convex hull of 3 disjoint (8-point) 16-cells, so the 120-cell is the convex...

rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra...

symmetry, and one chiral half symmetry, the snub 24-cell. There is one self-dual regular form, the 24-cell with 24 vertices. Each can be visualized as symmetric...

honeycomb 24-cell honeycomb Snub 24-cell honeycomb Rectified 24-cell honeycomb Truncated 24-cell honeycomb 16-cell honeycomb 5-cell honeycomb Omnitruncated 5-cell...

vertices from a polytope with only even-sided faces. An alternated omnitruncated polytope is called a snub. The resulting polytopes always can be constructed...

augmented triangular prism. Vertex figure Dual cell The omnitruncated cubic honeycomb or omnitruncated cubic cellulation is a uniform space-filling tessellation...

In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon's interior angles is 3960 degrees...