In geometry, the rectified tesseract, rectified 8-cell is a uniform 4-polytope (4-dimensional polytope) bounded by 24 cells: 8 cuboctahedra, and 16 tetrahedra...

In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract. There are three truncations, including a...

runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract. There...

Space of n Dimensions. In four dimensions, this gives the rectified 5-cell, the rectified 600-cell, and the snub 24-cell. 1910: Alicia Boole Stott, in...

In geometry, the rectified 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells:...

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

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

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

regular 24-cell honeycomb, containing tesseract and rectified 24-cell cells. Rectified icositetrachoric tetracomb Rectified icositetrachoric honeycomb Cantellated...

vertex figure is a cube. The 24-cell is self-dual. The 24-cell and the tesseract are the only convex regular 4-polytopes in which the edge length equals...

runcination of a tesseractic honeycomb creating runcinated tesseracts, and new tesseract, rectified tesseract and cuboctahedral prism facets. The [4,3,3,4], , Coxeter...

order 240. The rectified tesseract has 240 elements as well (24 cells, 88 faces, 96 edges, and 32 vertices). In five dimensions, the rectified 5-orthoplex...

the rectified cube, also called a cuboctahedron, and also represented as { 4 3 } {\displaystyle {\begin{Bmatrix}4\\3\end{Bmatrix}}} . And a rectified cuboctahedron...

new vertices on the middle of all the original edges, rectifying the cells into rectified tesseracts, and adding new 16-cell facets at the original vertices...

represented by { p , q , r } {\displaystyle \{p,q,r\}} . For example, a tesseract, {4,3,3}, has 3 cubes, {4,3}, around an edge. In general, a regular polytope...

located in the tesseract centers of the 9-cube. These polytopes are part of a family 511 uniform 9-polytopes with BC9 symmetry. Rectified enneract (Acronym...

In geometry, the rectified 600-cell or rectified hexacosichoron is a convex uniform 4-polytope composed of 600 regular octahedra and 120 icosahedra cells...

seen as a cantellation of the regular 24-cell honeycomb, containing rectified tesseract, cantellated 24-cell, and tetrahedral prism cells. Cantellated icositetrachoric...

Name tesseract rectified tesseract truncated tesseract cantellated tesseract runcinated tesseract bitruncated tesseract cantitruncated tesseract runcitruncated...

Four Dimensions, George Olshevsky. Convex uniform polychora based on the tesseract/16-cell, George Olshevsky. Convex uniform polychora based on the 24-cell...

known as rectification, making the cuboctahedron being named the rectified cube and rectified octahedron. An alternative construction is by cutting off all...

solids (excluding the cube-prism, which has already been counted as the tesseract), and two infinite sets: the prisms on the convex antiprisms, and the...

orthoplexes. The rectified 421 can be seen as a rectification of the 421 polytope, creating new vertices on the center of edges of the 421. Rectified...

faces (each a square), 40 cells (each a cube), and 10 hypercells (each a tesseract). The 5-orthoplex of the cross polytope family, {3,3,3,4}, with 10 vertices...

semiregular polytope, labeling it as S1 5. Rectified hexateron (Acronym: rix) (Jonathan Bowers) The vertices of the rectified 5-simplex can be more simply positioned...

located in the 7-cube cell centers of the 8-cube. rectified octeract Birectified octeract Rectified 8-demicube trirectified octeract H.S.M. Coxeter: H...

uniform 4-polytopes with B4 symmetry. There are two regular forms, the tesseract and 16-cell, with 16 and 8 vertices respectively. They can be visualized...

simple Lie groups. The rectified 8-orthoplex is the vertex figure for the demiocteractic honeycomb. or rectified octacross rectified diacosipentacontahexazetton...

10-polytopes with BC10 symmetry. Rectified dekeract (Acronym: rade) (Jonathan Bowers) Cartesian coordinates for the vertices of a rectified 10-cube, centered at the...

the runcic snub cubic hosochoron, also known as a parabidiminished rectified tesseract, truncated tetrahedral alterprism, or truncated tetrahedral cupoliprism...