- In geometry, the
trigyrate rhombicosidodecahedron is one of the
Johnson solids (J75). It
contains 20 triangles, 30
squares and 12 pentagons. It is also...
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Parabigyrate rhombicosidodecahedron Metabigyrate rhombicosidodecahedron Trigyrate rhombicosidodecahedron Diminished rhombicosidodecahedron Paragyrate diminished...
- more
pentagonal cupolae: the gyrate, parabigyrate, metabigyrate, and
trigyrate rhombicosidodecahedron.
Eight more can be
constructed by
removing up to...
-
rhombicosidodecahedron (J74)
where two non-opposing
cupolae are rotated; And the
trigyrate rhombicosidodecahedron (J75)
where three cupolae are rotated. Weisstein...
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parabigyrate rhombicosidodecahedron,
metabigyrate rhombicosidodecahedron,
trigyrate rhombicosidodecahedron, and
paragyrate diminished rhombicosidodecahedron...
-
rhombicosidodecahedron (J73)
where two
opposing cupolae are rotated; And the
trigyrate rhombicosidodecahedron (J75)
where three cupolae are rotated. Weisstein...
- {29{\sqrt {5}}}{3}}\right)a^{3}\\&\approx 41.6153a^{3}\end{aligned}}} 75
Trigyrate rhombicosidodecahedron 60 120 62 C 3 v {\displaystyle C_{3v}} of order...
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dodecahedron Tridiminished icosahedron Tridiminished rhombicosidodecahedron Trigyrate rhombicosidodecahedron Pyramid Bipyramid Disphenoid Parallelepiped Cuboid...
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dodecahedron Tridiminished icosahedron Tridiminished rhombicosidodecahedron Trigyrate rhombicosidodecahedron Great complex icosidodecahedron Great deltoidal...
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metabigyrate rhombicosidodecahedron J 74 {\displaystyle J_{74}} , and
trigyrate rhombicosidodecahedron J 75 {\displaystyle J_{75}} . Relatedly, a construction...