600-cell is obtained. The pentagonal antiprism can be truncated and alternated to form a snub antiprism: A crossed pentagonal antiprism is topologically identical...
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In geometry, an n-gonal antiprism or n-antiprism is a polyhedron composed of two parallel direct copies (not mirror images) of an n-sided polygon, connected...
17 KB (1,511 words) - 17:21, 12 February 2024
a triangle-capped antiprism), the pentagonal antiprism, the hexagonal antiprism, and the octagonal antiprism. The square antiprism is first in a series...
7 KB (784 words) - 21:33, 22 May 2023
decomposed into two pentagonal pyramids and a pentagonal antiprism in the middle. It can also be decomposed into two pentagonal pyramids and a dodecahedron...
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Regular icosahedron (redirect from Gyroelongated pentagonal bipyramid)
can be constructed from pentagonal antiprism by attaching two pentagonal pyramids with regular faces to each of its pentagonal faces, or by putting points...
35 KB (3,683 words) - 03:26, 25 June 2024
pyramid and "gyroelongating" it, which in this case involves joining a pentagonal antiprism to its base. A Johnson solid is one of 92 strictly convex polyhedra...
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antiprism or pentagonal double antiprismoid is a uniform 4-polytope (4-dimensional uniform polytope) bounded by 320 cells: 20 pentagonal antiprisms,...
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Dodecagonal prism Antiprism Square antiprism, Pentagonal antiprism, Hexagonal antiprism, Heptagonal antiprism, Octagonal antiprism, Enneagonal antiprism, Decagonal...
29 KB (2,667 words) - 01:10, 4 June 2024
Dodecahedron (redirect from Truncated pentagonal trapezohedron)
(excluding pentagonal and rhombic forms) Uniform polyhedra: Decagonal prism – 10 squares, 2 decagons, D10h symmetry, order 40. Pentagonal antiprism – 10 equilateral...
28 KB (2,027 words) - 01:06, 24 April 2024
In geometry, the snub square antiprism is the Johnson solid that can be constructed by snubbing the square antiprism. It is one of the elementary Johnson...
5 KB (557 words) - 20:01, 7 May 2024
Octahedron (redirect from Triangular antiprism)
square bipyramid in any of three orthogonal orientations, and a triangular antiprism in any of four orientations. An octahedron is the three-dimensional case...
26 KB (2,764 words) - 20:47, 29 May 2024
in the vertices and side edges of a pentagonal antiprism, pentagrammic antiprism, and pentagrammic crossed-antiprism with the same D5d, [2+,10] symmetry...
15 KB (1,864 words) - 21:32, 12 May 2024
pentagonal faces. If two pentagonal pyramids are removed to form nonadjacent pentagonal faces, the result is instead the pentagonal antiprism. A Johnson solid...
1 KB (151 words) - 08:02, 5 September 2023
In geometry, the pentagrammic crossed-antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon...
2 KB (144 words) - 10:33, 13 March 2022
Uniform 4-polytope (redirect from Snub tetrahedral antiprism)
non-Wythoffian uniform convex 4-polytope, known as the grand antiprism, consisting of 20 pentagonal antiprisms forming two perpendicular rings joined by 300 tetrahedra...
134 KB (4,310 words) - 13:51, 4 April 2024
Uniform antiprismatic prism (redirect from Pentagonal antiprismatic prism)
vertices. A pentagonal antiprismatic prism or pentagonal antiduoprism is a convex uniform 4-polytope. It is formed as two parallel pentagonal antiprisms connected...
12 KB (478 words) - 21:59, 12 December 2023
t0,3{3,5,3}, , has icosahedron and triangular prism cells, with a pentagonal antiprism vertex figure. Viewed from center of triangular prism The runcitruncated...
19 KB (700 words) - 02:01, 20 January 2024
Square antiprism (uniform 4-antiprism) Square cupola (Johnson solid 4) Pentagonal bipyramid (Johnson solid 13, 5-bipyramid) Augmented pentagonal prism...
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interior vertices. The 10 interior vertices have the convex hull of a pentagonal antiprism. The 80 edges project into 40 external edges and 40 internal ones...
10 KB (826 words) - 03:51, 20 April 2024
p/q-gonal antiprisms, with symmetry group: Dnpd if nq is odd Dnph if nq is even Where p/q=2, the component is the tetrahedron (or dyadic antiprism). In this...
5 KB (304 words) - 18:17, 3 August 2022
symmetric arrangement of 12 pentagonal antiprisms. It can be constructed by inscribing one pair of pentagonal antiprisms within an icosahedron, in each...
3 KB (271 words) - 23:48, 17 July 2022
In geometry, pentagonal pyramid is a pyramid with a pentagon base and five triangular faces, having a total of six faces. If all of the edges are equal...
13 KB (1,286 words) - 21:38, 26 June 2024
Skew polygon (redirect from Regular skew pentagon)
respective zig-zag skew polygons, and can be seen as a digonal antiprism and a triangular antiprism respectively. A regular skew polyhedron has regular polygon...
9 KB (701 words) - 16:28, 14 February 2024
tetrahedron can be seen as a degenerate polyhedron, a uniform digonal antiprism, where base polygons are reduced digons. A regular tetrahedron can be...
75 KB (9,437 words) - 04:14, 27 June 2024
attaching a decagonal antiprism to its base. It can also be seen as a gyroelongated pentagonal bicupola (J46) with one pentagonal cupola removed. A Johnson...
2 KB (267 words) - 22:33, 17 April 2023
Pentagram (redirect from Star pentagon)
incorporate pentagrams: Pentagrammic prism Pentagrammic antiprism Pentagrammic crossed-antiprism Small stellated dodecahedron Great stellated dodecahedron...
35 KB (4,063 words) - 05:27, 13 June 2024
which alternates two triangles and two pentagons around each vertex. In contrast: 3.3.3.5 is a pentagonal antiprism. These polyhedra are sometimes described...
9 KB (979 words) - 18:13, 15 February 2023
Pentagonal orthobirotunda Pentagonal orthocupolarotunda Pentagonal pyramid Pentagonal rotunda Snub disphenoid Snub square antiprism Sphenocorona Sphenomegacorona...
47 KB (3,577 words) - 21:10, 27 May 2024
prisms and antiprisms that contain pentagons or pentagrams as faces — the pentagonal prism and antiprism, and the pentagrammic prism, antiprism, and crossed-antiprism...
104 KB (13,348 words) - 22:29, 26 June 2024
hexagonal antiprism is the 4th in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. Antiprisms are...
2 KB (216 words) - 21:44, 22 April 2024