Antiprism
Polyhedron with parallel bases connected by triangles / From Wikipedia, the free encyclopedia
Dear Wikiwand AI, let's keep it short by simply answering these key questions:
Can you list the top facts and stats about Antiprism?
Summarize this article for a 10 year old
SHOW ALL QUESTIONS
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 by an alternating band of 2n triangles. They are represented by the Conway notation An.
This article includes a list of general references, but it lacks sufficient corresponding inline citations. (January 2013) |
Quick Facts Set of uniform n-gonal antiprisms, Type ...
Set of uniform n-gonal antiprisms | |
---|---|
Type | uniform in the sense of semiregular polyhedron |
Faces | 2 regular n-gons 2n equilateral triangles |
Edges | 4n |
Vertices | 2n |
Vertex configuration | 3.3.3.n |
Schläfli symbol | { }⊗{n} [1] s{2,2n} sr{2,n} |
Conway notation | An |
Coxeter diagram | |
Symmetry group | Dnd, [2+,2n], (2*n), order 4n |
Rotation group | Dn, [2,n]+, (22n), order 2n |
Dual polyhedron | convex dual-uniform n-gonal trapezohedron |
Properties | convex, vertex-transitive, regular polygon faces, congruent & coaxial bases |
Net | |
Net of uniform enneagonal antiprism (n = 9) |
Close
Antiprisms are a subclass of prismatoids, and are a (degenerate) type of snub polyhedron.
Antiprisms are similar to prisms, except that the bases are twisted relatively to each other, and that the side faces (connecting the bases) are 2n triangles, rather than n quadrilaterals.
The dual polyhedron of an n-gonal antiprism is an n-gonal trapezohedron.