In geometry, a bitruncation is an operation on regular polytopes. The original edges are lost completely and the original faces remain as smaller copies...

truncation of the regular tesseract. There are three truncations, including a bitruncation, and a tritruncation, which creates the truncated 16-cell. The truncated...

truncated cube; it is represented by a Schläfli symbol t{p,q,...}. A bitruncation is a deeper truncation, removing all the original edges, but leaving...

a 4-polytope's symbol is palindromic (e.g. {3,3,3} or {3,4,3}), its bitruncation will only have truncated forms of the vertex figure as cells. For higher-dimensional...

the regular 5-cell. There are two degrees of truncations, including a bitruncation. The truncated 5-cell, truncated pentachoron or truncated 4-simplex is...

truncation of the regular 120-cell. There are three truncations, including a bitruncation, and a tritruncation, which creates the truncated 600-cell. The truncated...

r{p,q} tetratetrahedron (octahedron) cuboctahedron icosidodecahedron Bitruncation (2t) Dual kis (dk) 2t{p,q} truncated tetrahedron truncated octahedron...

the regular 24-cell. There are two degrees of truncations, including a bitruncation. The truncated 24-cell or truncated icositetrachoron is a uniform 4-dimensional...

hypercubic honeycomb Rectification (geometry) Truncation (geometry) Bitruncation Cantellation Runcination Sterication Omnitruncation Expansion (geometry)...

group elements, taken as points on S3, form a 24-cell. By a process of bitruncation of the 24-cell, the 48-cell on G is obtained, and these versors multiply...