Search results
Results from the WOW.Com Content Network
3D model of a rhombic triacontahedron. The rhombic triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron. It is a zonohedron.
Small stellated dodecahedron ... Rhombic triacontahedron ... ISBN 0-486-61480-8 (Table I: Regular Polytopes, (i) The nine regular polyhedra {p,q} in ordinary space)
[1] [2] There are different truncations of a rhombic triacontahedron into a topological rhombicosidodecahedron: Prominently its rectification (left), the one that creates the uniform solid (center), and the rectification of the dual icosidodecahedron (right), which is the core of the dual compound.
This table shows a summary of regular polytope counts by ... Polygons named for their number of sides Monogon — 1 ... Medial rhombic triacontahedron; Hexahemioctacron;
Rhombic dodecahedron: Cuboctahedron *432 [4,3] O h: Dodecahedron and icosahedron (Compound of dodecahedron and icosahedron) Rhombic triacontahedron: Icosidodecahedron *532 [5,3] I h: Small stellated dodecahedron and great dodecahedron (Compound of sD and gD) Medial rhombic triacontahedron (Convex: Icosahedron) Dodecadodecahedron (Convex ...
Four numbering schemes for the uniform polyhedra are in common use, distinguished by letters: [C] Coxeter et al., 1954, showed the convex forms as figures 15 through 32; three prismatic forms, figures 33–35; and the nonconvex forms, figures 36–92.
A polytope is a geometric object with flat sides, which exists in any general number of dimensions. The following list of polygons, polyhedra and polytopes gives the names of various classes of polytopes and lists some specific examples.
Rhombic triacontahedron V(3.5) 2 Johannes Kepler coined the category semiregular in his book Harmonices Mundi (1619), including the 13 Archimedean solids , two infinite families ( prisms and antiprisms on regular bases), and two edge-transitive Catalan solids , the rhombic dodecahedron and rhombic triacontahedron .