Snub square antiprism

Snub square antiprism

Infobox_Polyhedron with net

Polyhedron_Type = Johnson
J84 - J85 - J86
Face_List = 8+16 triangles
2 squares
Edge_Count = 40
Vertex_Count = 16
Symmetry_Group = "D4d"
Vertex_List = 8(35)
Dual = -
Property_List = convex

In geometry, the snub square antiprism is one of the
Johnson solids ("J"85).It is one of the elementary Johnson solids that do not arise from "cut and paste" manipulations of the Platonic and Archimedean solids.The 92 Johnson solids were named and described by Norman Johnson in 1966.

It can be thought of as a square antiprism with a chain of triangles inserted around the middle. A similar effect can be achieved with a triangular antiprism (which is an octahedron), resulting in an icosahedron.

External links

** MathWorld | urlname=SnubSquareAntiprism| title=Snub square antiprism

Wikimedia Foundation. 2010.

Look at other dictionaries:

  • Snub polyhedron — A snub polyhedron is a polyhedron obtained by adding extra triangles around each vertex. Chiral snub polyhedra do not have reflection symmetry and hence have two enantiomorphous forms which are reflections of each other. Their symmetry groups are …   Wikipedia

  • Snub cube — (Click here for rotating model) Type Archimedean solid Uniform polyhedron Elements F = 38, E = 60, V = 24 (χ = 2) Faces by sides (8+24){3}+6{4} …   Wikipedia

  • Octagonal antiprism — Uniform Octagonal antiprism Type Prismatic uniform polyhedron Elements F = 18, E = 32 V = 16 (χ = 2) Faces by sides 16{3}+2{8} …   Wikipedia

  • Grand antiprism — (Schlegel diagram wireframe) Type Uniform polychoron Uniform index 47 Cells 100+200 (3.3.3) …   Wikipedia

  • Johnson solid — The elongated square gyrobicupola (J37), a Johnson solid …   Wikipedia

  • List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… …   Wikipedia

  • Dihedral symmetry in three dimensions — This article deals with three infinite sequences of point groups in three dimensions which have a symmetry group that as abstract group is a dihedral group Dihn ( n ≥ 2 ). See also point groups in two dimensions. Chiral: Dn (22n) of… …   Wikipedia

  • Polyèdre adouci — En géométrie, un polyèdre adouci est un polyèdre obtenu en écartant les faces d un polyèdre et en comblant les trous par des triangles équilatéraux. Souvent, cela consiste à remplacer chaque sommet du polyèdre par un triangle équilatéral et… …   Wikipédia en Français

  • Johnson-Körper — Die Johnson Körper sind eine Klasse geometrischer Körper. Inhaltsverzeichnis 1 Eigenschaften 2 Liste 2.1 Pyramiden, Kuppeln und Rotunden 2.2 modifizierte Pyramiden …   Deutsch Wikipedia

  • Polyèdre de Johnson — Solide de Johnson La gyrobicoupole octogonale allongée (J37), un solide de Johnson …   Wikipédia en Français

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”

We are using cookies for the best presentation of our site. Continuing to use this site, you agree with this.