The truncated great grand hecatonicosachoron, or tigaghi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra and 120 truncated great dodecahedra. One great stellated dodecahedron and three truncated great dodecahedra join at each vertex. As the name suggests, it can be obtained by truncating the great grand hecatonicosachoron.
The vertices of a truncated great grand hecatonicosachoron of edge length 1 are all permutations of:
- ,
- ,
- ,
- ,
- ,
- ,
along with the even permutations of:
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- ,
- .
truncations |
---|
Name | OBSA | Schläfli symbol | CD diagram | Image |
---|
Great grand hecatonicosachoron | gaghi | {5,5/2,3} | | |
---|
Rectified great grand hecatonicosachoron | ragaghi | r{5,5/2,3} | | |
---|
Rectified great faceted hexacosichoron | rigfix | r{3,5/2,5} | | |
---|
Great faceted hexacosichoron | gofix | {3,5/2,5} | | |
---|
Truncated great grand hecatonicosachoron | tigaghi | t{5,5/2,3} | | |
---|
Small rhombated great grand hecatonicosachoron | sirgaghi | rr{5,5/2,3} | | |
---|
Quasiprismatodishecatonicosachoron | quipdohi | t0,3{5,5/2,3} | | |
---|
(degenerate) | | 2t{5,5/2,3} | | |
---|
(degenerate) | | rr{3,5/2,5} | | |
---|
Truncated great faceted hexacosichoron | tigfix | t{3,5/2,5} | | |
---|
(degenerate) | | t0,1,2{5,5/2,3} | | |
---|
(degenerate) | | t0,1,3{5,5/2,3} | | |
---|
Prismatorhombated great grand hecatonicosachoron | pirgaghi | t0,2,3{5,5/2,3} | | |
---|
(degenerate) | | t1,2,3{5,5/2,3} | | |
---|
(degenerate) | | t0,1,2,3{5,5/2,3} | | |
---|