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.
This table shows a summary of regular polytope counts by dimension. ... Medial rhombic triacontahedron; ... Compound of small stellated dodecahedron and great ...
It is a stellation of the rhombic triacontahedron, and can also be called small stellated triacontahedron. Its dual is the dodecadodecahedron . Its 24 vertices are all on the 12 axes with 5-fold symmetry (i.e. each corresponds to one of the 12 vertices of the icosahedron ).
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.
Toggle the table of contents ... Deltoidal icositetrahedron, Disdyakis dodecahedron, Pentagonal icositetrahedron, Rhombic triacontahedron, ... Small stellated 120 ...
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.
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 .