The small rhombated great grand hecatonicosachoron, or sirgaghi, is a nonconvex uniform polychoron that consists of 1200 triangular prisms, 120 great icosidodecahedra, and 120 rhombidodecadodecahedra. 1 great icosidodecahedron, 2 triangular prisms, and 2 rhombidodecadodecahedra join at each vertex. it can be obtained by cantellating the great grand hecatonicosachoron.
Coordinates for the vertices of a small rhombated great grand hecatonicosachoron of edge length 1 are given by all permutations of:
together with all even permutations of:
The small rhombated great grand hecatonicosachoron is the colonel of a regiment of 7 members. Its other members include the great retrosphenoverted hecatonicosihexacosihecatonicosachoron, rhombic great hecatonicosihexacosichoron, pseudorhombic great hexacosihecatonicosachoron, grand rhombic great dishecatonicosachoron, great hexacosihecatonicosintercepted dishecatonicosachoron, and great hecatonicosintercepted prismatodishecatonicosachoron.
truncations |
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Name | OBSA | Schläfli symbol | CD diagram | Image |
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Great grand hecatonicosachoron | gaghi | {5,5/2,3} | | |
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Rectified great grand hecatonicosachoron | ragaghi | r{5,5/2,3} | | |
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Rectified great faceted hexacosichoron | rigfix | r{3,5/2,5} | | |
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Great faceted hexacosichoron | gofix | {3,5/2,5} | | |
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Truncated great grand hecatonicosachoron | tigaghi | t{5,5/2,3} | | |
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Small rhombated great grand hecatonicosachoron | sirgaghi | rr{5,5/2,3} | | |
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Quasiprismatodishecatonicosachoron | quipdohi | t0,3{5,5/2,3} | | |
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(degenerate) | | 2t{5,5/2,3} | | |
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(degenerate) | | rr{3,5/2,5} | | |
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Truncated great faceted hexacosichoron | tigfix | t{3,5/2,5} | | |
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(degenerate) | | t0,1,2{5,5/2,3} | | |
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(degenerate) | | t0,1,3{5,5/2,3} | | |
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Prismatorhombated great grand hecatonicosachoron | pirgaghi | t0,2,3{5,5/2,3} | | |
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(degenerate) | | t1,2,3{5,5/2,3} | | |
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(degenerate) | | t0,1,2,3{5,5/2,3} | | |
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