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triangles in a
regular fashion, one ends up with a
disdyakis triacontahedron. That is, the
disdyakis triacontahedron is the
Kleetope of the
rhombic triacontahedron...
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polyhedron that
looks almost like the
disdyakis dodecahedron, and is
topologically equivalent to it. More formally, the
disdyakis dodecahedron is the Kleetope...
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group with
order 2,3,n
mirrors at each
triangle face vertex.
Disdyakis triacontahedron Disdyakis dodecahedron Kisrhombille tiling Compound of
three octahedra...
- of a
regular octahedron, is the
disdyakis dodecahedron. The degree-6, degree-4, and degree-8
vertices of the
disdyakis dodecahedron correspond to the vertices...
- \varphi ={\tfrac {1+{\sqrt {5}}}{2}}} is the
golden ratio. The
great disdyakis triacontahedron (or
trisdyakis icosahedron) is a
nonconvex isohedral polyhedron...
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circularly shifting (in
either direction) the last four elements. The
medial disdyakis triacontahedron is a
nonconvex isohedral polyhedron. It is the dual of...
- 14 143.130° Oh
deltoidal icositetrahedron 24
kites 48 26 138.118° Oh
disdyakis dodecahedron 48
scalene triangles 72 26 155.082° Oh
pentagonal icositetrahedron...
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enclosing triangle's
sides Polyhedra:
Medial deltoidal hexecontahedron Medial disdyakis triacontahedron Medial hexagonal hexecontahedron Medial icosacronic hexecontahedron...
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dirhombicosidodecacron Great dirhombicosidodecahedron Great disdyakis dodecahedron Great disdyakis triacontahedron Great disnub dirhombidodecacron Great ditrigonal...
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faces of
these tilings creates the
kisrhombille tiling. (Compare the
disdyakis hexa-, dodeca- and triacontahedron,
three Catalan solids similar to this...
