Icosidodecahedron
The icosidodecahedron is a polyhedron ( polyhedron ) with 32 faces (12 pentagons and 20 equilateral triangles ), 30 corners and 60 edges of equal length.
It is described by the intersection of the penetration of a dodecahedron and icosahedron , which also appear in its name.
It is an Archimedean solid and dual to the rhombic triacontahedron .
Each 10 edges of the icosidodecahedron form the edges of a regular decagon . There are a total of six such independent, equilateral decagons in an icosidodecahedron.
Formulas
Sizes of an icosidodecahedron with edge length a | |
---|---|
volume | |
Surface area | |
Umkugelradius | |
Edge ball radius | |
Face angle ≈ 142 ° 37 ′ 21 ″ |
|
Corners solid angle ≈ 1.1694 π |
Web links
Commons : Ikosidodecahedron - collection of images, videos and audio files
- Eric W. Weisstein : Ikosidodecahedron . In: MathWorld (English).