prismatic 4-polytopes. A duoprism constructed from two regular polygons of the same edge length is a uniform duoprism. A duoprism made of n-polygons and...

order of size and complexity). As a uniform duoprism, the tesseract exists in a sequence of uniform duoprisms: {p}×{4}. The regular tesseract, along with...

In the geometry of 4 dimensions, the 3-3 duoprism or triangular duoprism is a four-dimensional convex polytope. It can be constructed as the Cartesian...

3-4 duoprism, the second smallest p-q duoprism, is a 4-polytope resulting from the Cartesian product of a triangle and a square. The 3-4 duoprism exists...

4-4 duoprism is a lower symmetry form of a tesseract, as is {4,3}×{ }, a cubic prism. {4}×{4}×{ } (4-4 duoprism prism), {4,3}×{4} (cube-4 duoprism) and...

three-dimensional prism. The symmetry number of a duoprism whose factors are a p-gon and a q-gon (a "p,q-duoprism") is 4pq if p≠q; if the factors are both p-gons...

polytopes and two honeycombs. Its root figure is the first proper duoprism, the 3-3 duoprism (-122), which is made of six triangular prisms. The second figure...

5-polytopes, plus a number of infinite families of duoprism prisms, and polygon-polyhedron duoprisms. All except the grand antiprism prism are based on...

special non-Wythoffian form, the grand antiprism. Two infinite families of duoprisms and antiprismatic prisms exist in the fourth dimension. There are only...

p-q duoprism - - p q-gonal prisms, q p-gonal prisms: 3-3 duoprism - - 6 triangular prisms 3-4 duoprism - - 3 cubes, 4 triangular prisms 4-4 duoprism - -...

Coxeter planes. Examples in 4 dimensions are the 24-cell, snub 24-cell, 6-6 duoprism, 6-6 duopyramid. In 6 dimensions 6-cube, 6-orthoplex, 221, 122. It is also...

as the duoprism {4} × {4}, the product of two equal-size orthogonal squares, composed of 16 vertices. The 5-cube can be constructed as a duoprism {4} × {4...

+ 16 = 80 [4,3,3,2] 768 cube-square duoprism {4,3}×{4} 8×4 = 32 48 + 32 = 80 [4,3,2,4] 384 cube-rectangle duoprism {4,3}×{ }2 8×22 = 32 48 + 2×16 = 80...

the two-dimensional orthographic projection of the four-dimensional 8-8 duoprism. In number theory, figurate numbers representing octagons are called octagonal...

envelopes in the plane. The n-n duoprisms and dual duopyramids also have 2n-gonal Petrie polygons. (The tesseract is a 4-4 duoprism, and the 16-cell is a 4-4...

4D 5D 3-3 duoprism 3-3 duopyramid 5-simplex...

dimensions, there are 64 uniform polychora aside from two infinite families of duoprisms and antiprismatic prisms, and 64 Bravais lattices. 64 is the atomic number...

duoantiprism can be constructed from a nonuniform variant of the 10-10/3 duoprism (a duoprism of a decagon and a decagram) where the decagram's edge length is...

family of k22 polytopes whose first member is the fourth-dimensional 3-3 duoprism, of symmetry order 72 and made of six triangular prisms. On the other hand...

Cartesian products of pairs of neighborly polytopes. For instance, the 3-3 duoprism is a four-dimensional shape formed as the Cartesian product of two triangles...

represented by square faces of the runcinated {r,p,r}. {4,4|n} produces a n-n duoprism, and specifically {4,4|4} fits inside of a {4}x{4} tesseract. A final set...

Its Coxeter diagram is . Its symmetry is [2,p,q]. In 4D, a uniform p-q duoprism is represented as {p} × {q}. Its Coxeter diagram is . Its symmetry is [p...

2D figures, as in the case of e.g. the duocylinder and various regular duoprisms. 2-fold rotational symmetry together with single translational symmetry...

The graph of the 3-3 duoprism (the line graph of K 3 , 3 {\displaystyle K_{3,3}} ) is perfect. Here it is colored with three colors, with one of its 3-vertex...

new vertices on the center of edge of the 132. Its vertex figure is a duoprism prism, the product of a regular tetrahedra and triangle, doubled into a...

adding rings to the neighboring nodes. This makes a 5-demicube-triangular duoprism. These graphs represent orthographic projections in the E8, E7, E6, and...

This tiling exists in a 2D orthogonal projection of a 4D 8-8 duoprism constructed from 16 octagonal prisms....

solutions are related to the 24-cell, and an infinite set of self-dual duoprisms generate regular skew polyhedra as {4, 4 | n}. In the infinite limit these...

Rectified 24-cell, runcinated tesseract, cuboctahedral prism, and 3-3 duoprism cells. Runcinated hexadecachoric tetracomb/honeycomb Small prismated demitesseractic...

subgroup is [2,2,2]+, (), order 8. Extended [[2,2,2]], (), order 32. The 4-4 duoprism has this extended symmetry, . The chiral extended group is [[2,2,2]]+,...