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

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...

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

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...

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...

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...

the same as a rectified {r,q,p}, however. A further truncation, called bitruncation, is symmetric between a 4-polytope and its dual. See Uniform 4-polytope#Geometric...

naming scheme for the indexed ring permutations beyond truncation and bitruncation, and all of Johnson's names were included in the book index. Nonregular...

Polyhedron operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q}...

Polyhedron operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q}...

Polyhedron operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q}...

the dual. Bitruncated (2t) (also truncated dual) 2t{p,q} t1,2{p,q} A bitruncation can be seen as the truncation of the dual. A bitruncated cube is a truncated...

permutations of (±2,±2,±1,0,0) The bitrunacted 5-orthoplex is constructed by a bitruncation operation applied to the 5-orthoplex. This polytope is one of 31 uniform...

tessellation (or honeycomb) in Euclidean 4-space. It is constructed by a bitruncation of a tesseractic honeycomb. It is also called a cantic quarter tesseractic...

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

Polyhedron operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q}...

vertices but leaves a portion of the original edges. Zip is also called bitruncation. 4 [ 1 1 1 0 4 0 0 2 0 ] {\displaystyle {\begin{bmatrix}1&1&1\\0&4&0...

5-simplex are located as pairs on the edge of the 5-simplex. Vertices of the bitruncation 5-simplex are located on the triangular faces of the 5-simplex. The truncated...

from Latin truncare 'to cut off'.) There are higher truncations also: bitruncation t1,2 or 2t, tritruncation t2,3 or 3t, quadritruncation t3,4 or 4t, quintitruncation...

icosidodecahedron Trihexagonal tiling Triheptagonal tiling Trioctagonal tiling Bitruncation (2t) Dual kis (dk) 2t{p,q} truncated triangular dihedron (Half of the...

Polyhedron operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q}...

Polyhedron operators v t e Seed Truncation Rectification Bitruncation Dual Expansion Omnitruncation Alternations t0{p,q} {p,q} t01{p,q} t{p,q} t1{p,q}...

honeycomb is a uniform space-filling honeycomb. It can be seen as a bitruncation of the regular 24-cell honeycomb, constructed by truncated tesseract...