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...

geometry of 4 dimensions, the 3-3 duoprism or triangular duoprism is a four-dimensional convex polytope. The duoprism is a 4-polytope that can be constructed...

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...

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

+ 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...

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...

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...

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

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...

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...

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...

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 - -...

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...

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...

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

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...

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...

600-cell, Cantellated 600-cell Prismatic uniform polychoron Grand antiprism Duoprism Tetrahedral prism, Truncated tetrahedral prism Truncated cubic prism, Truncated...

infinite family based on antiprisms, and another infinite family of uniform duoprisms, which are products of two regular polygons. Clifford torus The Fourth...

600-cell, Cantellated 600-cell Prismatic uniform 4-polytope Grand antiprism Duoprism Tetrahedral prism, Truncated tetrahedral prism Truncated cubic prism, Truncated...

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...

into account the infinite families of uniform antiprismatic prisms and duoprisms. 104 is also: The atomic number of rutherfordium. The number of Corinthian...

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...

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

to the five partitions of 4, the number of dimensions. Clifford torus Duoprism Flat torus Hopf fibration Manifold The Fourth Dimension Simply Explained...