antiprism
Noun
Meaning
antiprism (plural antiprisms)
A polyhedron composed of two parallel copies of some particular polygon, connected by an alternating band of triangles.
Synonyms
Anagrams
Examples
A regular icosahedron is a gyroelongated pentagonal bipyramid and a biaugmented pentagonal antiprism in any of six orientations.
It can be decomposed into a gyroelongated pentagonal pyramid and a pentagonal pyramid or into a pentagonal antiprism and two equal pentagonal pyramids.
Extra regularity is obtained by the line connecting the base centers being perpendicular to the base planes, making it a right antiprism.
It is also a triangular antiprism in any of four orientations.
Star antiprism compounds also can be constructed where p and q have common factors; thus a 10/4 antiprism is the compound of two 5/2 star antiprisms.