• Thumbnail for Antiprism
    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...
    18 KB (2,326 words) - 22:08, 4 September 2024
  • Thumbnail for Square antiprism
    In geometry, the square antiprism is the second in an infinite family of antiprisms formed by an even-numbered sequence of triangle sides closed by two...
    7 KB (784 words) - 21:33, 22 May 2023
  • Thumbnail for Pentagonal antiprism
    In geometry, the pentagonal antiprism is the third in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two...
    3 KB (287 words) - 15:55, 10 April 2024
  • Thumbnail for Apeirogonal antiprism
    In geometry, an apeirogonal antiprism or infinite antiprism is the arithmetic limit of the family of antiprisms; it can be considered an infinite polyhedron...
    2 KB (246 words) - 21:54, 12 December 2023
  • the antiprism, a prism like polyhedron in which lateral faces are replaced by alternating equilateral triangles. It is also called trigonal antiprism. Therefore...
    36 KB (3,630 words) - 05:23, 21 October 2024
  • Thumbnail for Hexagonal antiprism
    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 (224 words) - 12:50, 6 August 2024
  • Dodecagonal prism Antiprism Square antiprism, Pentagonal antiprism, Hexagonal antiprism, Heptagonal antiprism, Octagonal antiprism, Enneagonal antiprism, Decagonal...
    30 KB (2,685 words) - 07:39, 28 July 2024
  • Thumbnail for Uniform 4-polytope
    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) - 09:25, 13 October 2024
  • Thumbnail for Grand antiprism
    digonal antiprism). The only nonconvex uniform 4-dimensional antiprism analogue uses pentagrammic crossed-antiprisms instead of pentagonal antiprisms, and...
    10 KB (966 words) - 03:27, 21 October 2024
  • Thumbnail for Heptagonal antiprism
    In geometry, the heptagonal antiprism is the fifth in an infinite set of antiprisms formed by two parallel polygons separated by a strip of triangles...
    1 KB (111 words) - 21:34, 28 January 2024
  • Thumbnail for Snub square antiprism
    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) - 02:34, 12 July 2024
  • Thumbnail for Trapezohedron
    n-gonal antiprism has two actual n-gon faces. An n-gonal trapezohedron can be dissected into two equal n-gonal pyramids and an n-gonal antiprism. These...
    17 KB (1,463 words) - 10:03, 14 September 2024
  • Thumbnail for Pentagrammic antiprism
    prism Pentagrammic crossed-antiprism Maeder, Roman. "79: pentagrammic antiprism". Weisstein, Eric W. "Pentagrammic antiprism". MathWorld. http://www.mathconsult...
    2 KB (190 words) - 16:21, 14 December 2023
  • Thumbnail for Decagrammic antiprism
    In geometry, the decagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in...
    1 KB (46 words) - 16:06, 28 February 2023
  • Thumbnail for Truncated square antiprism
    The truncated square antiprism one in an infinite series of truncated antiprisms, constructed as a truncated square antiprism. It has 18 faces, 2 octagons...
    3 KB (98 words) - 23:18, 24 March 2024
  • field of graph theory, an antiprism graph is a graph that has one of the antiprisms as its skeleton. An n-sided antiprism has 2n vertices and 4n edges...
    2 KB (237 words) - 21:16, 16 June 2022
  • Thumbnail for Stellated octahedron
    seen as a {4/2} antiprism; with {4/2} being a tetragram, a compound of two dual digons, and the tetrahedron seen as a digonal antiprism, this can be seen...
    12 KB (1,107 words) - 04:07, 16 September 2024
  • Thumbnail for Hendecagrammic prism
    The antiprisms with 3.3.3.3.11/q vertex figures, . Uniform antiprisms exist for p/q>3/2, and are called crossed for p/q<2. For hendecagonal antiprism, two...
    5 KB (216 words) - 22:17, 21 August 2024
  • Thumbnail for Decagon
    vertices and side edges of a pentagonal antiprism, pentagrammic antiprism, and pentagrammic crossed-antiprism with the same D5d, [2+,10] symmetry, order...
    15 KB (1,851 words) - 07:19, 1 July 2024
  • Thumbnail for Triangular prism
    uniform polyhedrons such as Archimedean solids, Catalan solids, prisms and antiprisms. There are 6 Johnson solids with their construction involving the triangular...
    18 KB (1,515 words) - 10:24, 3 May 2024
  • Thumbnail for Prism (geometry)
    to the n-gonal uniform antiprism, but has half the symmetry group: Dn, [n,2]+, order 2n. It can be seen as a nonconvex antiprism, with tetrahedra removed...
    20 KB (1,852 words) - 11:38, 9 November 2024
  • Thumbnail for Prismatic uniform polyhedron
    e. if q = 1, the prism or antiprism is convex. (The fraction is always assumed to be stated in lowest terms.) An antiprism with p/q < 2 is crossed or...
    9 KB (405 words) - 08:38, 31 July 2022
  • Thumbnail for Hexadecagon
    octagonal antiprism with the same D8d, [2+,16] symmetry, order 32. The octagrammic antiprism, s{2,16/3} and octagrammic crossed-antiprism, s{2,16/5}...
    12 KB (1,118 words) - 09:55, 11 January 2024
  • Thumbnail for Prismatic compound of antiprisms
    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
  • Thumbnail for Gyroelongated square pyramid
    be constructed by attaching an equilateral square pyramid to a square antiprism. It occurs in chemistry; for example, the square antiprismatic molecular...
    6 KB (603 words) - 13:07, 12 September 2024
  • Thumbnail for Octagrammic antiprism
    In geometry, the octagrammic antiprism is one in an infinite set of nonconvex antiprisms formed by triangle sides and two regular star polygon caps, in...
    1 KB (56 words) - 22:45, 27 December 2022
  • Thumbnail for Decahedron
    have regular faces: Octagonal prism (uniform 8-prism) Square antiprism (uniform 4-antiprism) Square cupola (Johnson solid 4) Pentagonal bipyramid (Johnson...
    1 KB (145 words) - 17:16, 16 March 2024
  • Thumbnail for Star polygon
    higher-dimensional polytopes. For example, an antiprism formed from a prograde pentagram {5/2} results in a pentagrammic antiprism; the analogous construction from...
    17 KB (1,624 words) - 08:47, 22 September 2024
  • Thumbnail for Capped square antiprismatic molecular geometry
    with a square antiprism connected to the square base. In this respect, it can be seen as a "capped" square antiprism (a square antiprism with a pyramid...
    3 KB (353 words) - 20:43, 30 May 2024
  • Thumbnail for Pentagrammic crossed-antiprism
    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