polyhedron compound is a chiral symmetric arrangement of 4 triangular prisms, aligned with the axes of three-fold rotational symmetry of an octahedron...
2 KB (96 words) - 13:32, 22 March 2025
compounds of triangular prisms. They are compound of four triangular prisms, compound of eight triangular prisms, compound of ten triangular prisms,...
19 KB (1,608 words) - 04:20, 24 March 2025
prisms Compound of four octahedra Compound of four octahedra with rotational freedom Compound of four tetrahedra Compound of four triangular prisms Compound...
30 KB (2,692 words) - 15:23, 9 February 2025
prisms Compound of four octahedra Compound of four octahedra with rotational freedom Compound of four tetrahedra Compound of four triangular prisms Compound...
47 KB (3,579 words) - 21:06, 4 December 2024
triaugmented triangular prism, in geometry, is a convex polyhedron with 14 equilateral triangles as its faces. It can be constructed from a triangular prism by...
20 KB (2,224 words) - 06:43, 17 March 2025
Uniform 4-polytope (redirect from Cuboctahedral prism)
analogue in four dimensions to the infinite family of three-dimensional antiprisms. Infinite set of p-q duoprism - - p q-gonal prisms, q p-gonal prisms: Alternations...
134 KB (4,315 words) - 11:59, 20 April 2025
uniform compounds of six or twelve pentagrammic prisms. In the mathematical field of graph theory, a rhombicosidodecahedral graph is the graph of vertices...
15 KB (1,115 words) - 17:53, 22 April 2025
Octahedron (redirect from Triangular antiprism)
faces are congruent kites. Gyrobifastigium: Two uniform triangular prisms glued over one of their square sides so that no triangle shares an edge with...
37 KB (3,708 words) - 11:44, 11 March 2025
polyhedral compound is a figure that is composed of several polyhedra sharing a common centre. They are the three-dimensional analogs of polygonal compounds such...
25 KB (1,430 words) - 13:59, 18 February 2025
dodecahedron and a tetrahedron, and its flanks represent three triangular prisms and three pentagonal prisms. Runcinated 120-cell / Runcinated 600-cell (Norman W...
15 KB (707 words) - 03:18, 24 July 2024
prisms, 5 triangular prisms 4-5 duoprism - - 4 pentagonal prisms, 5 cubes 5-5 duoprism - - 10 pentagonal prisms 3-6 duoprism - - 3 hexagonal prisms,...
18 KB (778 words) - 13:56, 2 March 2020
Icosahedron (redirect from Vertices of an icosahedron)
regular icosahedron, one of the five regular Platonic solids, and is represented by its Schläfli symbol {3, 5}, containing 20 triangular faces, with 5 faces...
12 KB (890 words) - 08:57, 5 April 2025
rhombicuboctahedral prism is a convex uniform polychoron (four-dimensional polytope). It is one of 18 convex uniform polyhedral prisms created by using uniform prisms to...
5 KB (230 words) - 03:21, 24 July 2024
star polyhedra, 75 uniform compound polyhedra, inclusive of seven types of families of prisms and antiprisms, 76 is the number of unique uniform compact hyperbolic...
3 KB (383 words) - 20:38, 6 March 2025
the cells of a 24-cell, 24 rhombicuboctahedra, corresponding with the cells of the dual 24-cell, 96 triangular prisms, and 96 hexagonal prisms. The Cartesian...
17 KB (1,115 words) - 18:57, 25 March 2025
Tesseract (redirect from Four-dimensional cube)
shape of a hexagonal prism. Six cells project onto rhombic prisms, which are laid out in the hexagonal prism in a way analogous to how the faces of the...
25 KB (2,646 words) - 07:38, 2 May 2025
Antiprism (redirect from Anti-prism)
Antiprisms are a subclass of prismatoids, and are a (degenerate) type of snub polyhedron. Antiprisms are similar to prisms, except that the bases are...
22 KB (2,763 words) - 06:35, 1 May 2025
twenty triangular faces. triaugmented triangular prism, constructed by attaching three square pyramids onto the square face of a triangular prism, such...
16 KB (1,511 words) - 04:49, 14 March 2025
Tetrahedron (redirect from Triangular pyramid)
a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices. The tetrahedron is the simplest of all...
76 KB (9,506 words) - 04:09, 11 March 2025
72 (number) (category CS1 maint: DOI inactive as of February 2025)
polytope, with k31 rooted in the analogous four-dimensional tetrahedral prism that has four triangular prisms alongside two tetrahedra as cells. The complex...
15 KB (2,071 words) - 12:41, 21 April 2025
pentagonal prisms. Its vertex figure is an isosceles triangular prism, defined by one icosidodecahedron, two cuboctahedra, and two pentagonal prisms. Cantellated...
15 KB (758 words) - 02:15, 24 December 2024
cells of a 5-cell radially and filling in the gaps with triangular prisms (which are the face prisms and edge figures) and tetrahedra (cells of the dual...
40 KB (1,758 words) - 18:47, 25 March 2025
dissecting a rectangular solid into pieces. If all triangular edges are of equal length, the four triangles are equilateral, and the pyramid's faces are...
24 KB (2,531 words) - 20:43, 14 March 2025
cells of a tesseract radially, and filling in the gaps with tetrahedra (vertex figures), cubes (face prisms), and triangular prisms (edge figure prisms)....
29 KB (2,219 words) - 18:32, 25 March 2025
prismatic compounds of {p/q}-gonal prisms (UC20 and UC21) exist only when p/q > 2, and when p and q are coprime. The uniform prismatic compounds of {p/q}-gonal...
23 KB (174 words) - 19:36, 21 April 2025
5-cell (redirect from Compound of two 5-cells)
5-cell itself. Its maximal intersection with 3-dimensional space is the triangular prism. Its dichoral angle is arccos ( − 1 / 4 ) ≈ 75.52 ∘ {\textstyle...
38 KB (3,699 words) - 19:35, 25 March 2025
Uniform 5-polytope (redirect from 5-cell prism)
700 triangular prisms, 20 pentagonal prisms), and 322 hypercells (2 grand antiprisms , 20 pentagonal antiprism prisms , and 300 tetrahedral prisms ). Construction...
92 KB (2,241 words) - 02:24, 28 October 2024
polyhedra, together with 75 other polyhedra. They are 2 infinite classes of prisms and antiprisms, the convex polyhedrons as in 5 Platonic solids and 13...
66 KB (2,584 words) - 20:01, 30 March 2025
cubes, the separating edges form the three parallel edges of a triangular prism—32 triangular prisms, since there were 32 edges. Further, since each vertex...
14 KB (1,339 words) - 03:21, 24 July 2024
intersecting prisms, each extending in both directions to the same vertex at infinity, in order to maintain symmetry. In practice the model prisms are cut...
5 KB (381 words) - 23:59, 5 February 2025