Not to be confused with Square antiprismatic molecular geometry and Square antiprismatic prism
3D model of a (uniform) 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 polygon caps. It is also known as an anticube.[1]
If all its faces are regular, it is a semiregular polyhedron or uniform polyhedron.
A nonuniform D4-symmetric variant is the cell of the noble square antiprismatic 72-cell.
^Holleman-Wiberg. Inorganic Chemistry, Academic Press, Italy, p. 299. ISBN 0-12-352651-5.
In geometry, the squareantiprism is the second in an infinite family of antiprisms formed by an even-numbered sequence of triangle sides closed by two...
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...
gyroelongated square bipyramid is a polyhedron with 16 triangular faces. it can be constructed from a squareantiprism by attaching two equilateral square pyramids...
In geometry, the snub squareantiprism is the Johnson solid that can be constructed by snubbing the squareantiprism. It is one of the elementary Johnson...
the square base. In this respect, it can be seen as a "capped" squareantiprism (a squareantiprism with a pyramid erected on one of the square faces)...
rhombicuboctahedron can thus be described as an elongated square orthobicupola. Gyroelongated[z] indicates an antiprism is joined to the base of the solid in question...
gyroelongated square pyramid is the Johnson solid that can be constructed by attaching an equilateral square pyramid to a squareantiprism. It occurs in...
The truncated squareantiprism one in an infinite series of truncated antiprisms, constructed as a truncated squareantiprism. It has 18 faces, 2 octagons...
ligands are arranged around a central atom, defining the vertices of a squareantiprism. This shape has D4d symmetry and is one of the three common shapes...
also a rectified tetrahedron, a square bipyramid in any of three orthogonal orientations, and a triangular antiprism in any of four orientations. An octahedron...
zig-zag skew octagon and can be seen in the vertices and side edges of a squareantiprism with the same D4d, [2+,8] symmetry, order 16. The regular skew octagon...
this polyhedron is a flattened squareantiprism, with ten faces: two smaller squares (diagonally inset into the squares from which the shape is formed)...
rectified cubic honeycomb, by taking the triangular antiprism gaps as regular octahedra, squareantiprism pairs and zero-height tetragonal disphenoids as...
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...
octafluoroxenate ion (XeF2− 8) in nitrosonium octafluoroxenate(VI): 498 is a squareantiprism with minimal distortion, despite having a lone pair. One rationalization...
new solid called the elongated square gyrobicupola or pseudorhombicuboctahedron, with the symmetry of a squareantiprism. In this the vertices are all...
and A n {\displaystyle A_{n}} denotes the n {\displaystyle n} -sided antiprism. Alexander, Daniel C.; Koeberlin, Geralyn M. (2014). Elementary Geometry...
its degeneracy orderings leads to a non-optimal coloring, and the squareantiprism is the smallest graph that cannot be optimally colored using any of...
corresponds to a squareantiprism. Specific methods of distributing the points include, for example, minimizing the sum of all reciprocals of squares of distances...
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...
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