In geometry, the 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 similar to prisms except the bases are twisted relative to each other, and that the side faces are triangles, rather than quadrilaterals.
In the case of a regular n-sided base, one usually considers the case where its copy is twisted by an angle 180°/n. Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a right antiprism. As faces, it has the two n-gonal bases and, connecting those bases, 2n isosceles triangles.
If faces are all regular, it is a semiregular polyhedron.
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In geometry, the hexagonalantiprism is the 4th in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon...
for the net of a hexagonalantiprism has been attributed to Hieronymus Andreae, who died in 1556. The German form of the word "antiprism" was used for these...
a triangle-capped antiprism), the pentagonal antiprism, the hexagonalantiprism, and the octagonal antiprism. The square antiprism is first in a series...
right angle corner of the domain. As a trigonal antiprism, the octahedron is related to the hexagonal dihedral symmetry family. Truncation of two opposite...
snub antiprisms can be constructed as an alternation of a truncated antiprism. The gyrobianticupolae are another construction for the snub antiprisms. Only...
of many hexagonal crystal system minerals Hexagonal barn The Hexagon, a hexagonal theatre in Reading, Berkshire Władysław Gliński's hexagonal chess Pavilion...
[6,3,2,∞]+. It makes hexagonalantiprisms from the dodecagonal prisms, octahedra (as triangular antiprisms) from the hexagonal prisms, tetrahedra (as...
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...
In geometry, a hexagonal pyramid or hexacone is a pyramid with a hexagonal base upon which are erected six isosceles triangular faces that meet at a point...
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...
of a hexagonalantiprism with the same D5d, [2+,10] symmetry, order 20. The dodecagrammic antiprism, s{2,24/5} and dodecagrammic crossed-antiprism, s{2...
vertices. A hexagonal antiprismatic prism or hexagonal antiduoprism is a convex uniform 4-polytope. It is formed as two parallel hexagonalantiprisms connected...
The coplanar triangular faces can be merged into rhombic, trapezoidal, hexagonal, or other equilateral polygon faces. Each face must be a convex polyiamond...
In geometry, the hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices. Since...
uniform polyhedra; a few representatives of the infinite sets of prisms and antiprisms; one degenerate polyhedron, Skilling's figure with overlapping edges....
tetrahedron can be seen as a degenerate polyhedron, a uniform digonal antiprism, where base polygons are reduced digons. A regular tetrahedron can be...
triangular orthobicupola, J27, or the cuboctahedron) by inserting a hexagonalantiprism between its congruent halves. A Johnson solid is one of 92 strictly...
dihedral symmetry families including the pyramids, bipyramids, prisms, antiprisms, and trapezohedrons. Notes: Polyhedra with different names that are topologically...
triangular prism cells, with a hexagonalantiprism vertex figure. The runcitruncated triangular tiling honeycomb, , has hexagonal tiling, rhombitrihexagonal...
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...
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