Small tripesic hecatonicosachoron
(Redirected from Sitphi)
Small tripesic hecatonicosachoron  

Rank  4 
Type  Uniform 
Notation  
Bowers style acronym  Sitphi 
Coxeter diagram  (o5/2x5x5/2o)/2 (/2) 
Elements  
Cells  120 truncated great dodecahedra 
Faces 

Edges  3600 
Vertices  600 
Vertex figure  Compound of 3 tetragonal disphenoids, edge lengths (√5–1)/2 (base) and √(5+√5)/2 (sides) 
Measures (edge length 1)  
Circumradius  
Inradius  
Hypervolume  
Dichoral angle  Tigid–10–tigid: 108° Tigid–5/2–tigid: 72° 
Related polytopes  
Army  Hi 
Regiment  Sidtaxhi 
Conjugate  Great tripesic hecatonicosachoron 
Abstract & topological properties  
Flag count  43200 
Orientable  Yes 
Properties  
Symmetry  H_{4}, order 14400 
Flag orbits  3 
Convex  No 
Nature  Tame 
The small tripesic hecatonicosachoron, or sitphi, is a nonconvex noble fissary uniform polychoron that consists of 120 truncated great dodecahedra as cells. 12 cells join at each vertex.
It is fissary due to having a compound vertex figure, specifically a compound of three disphenoids. It shares its edges with the small ditetrahedronary hexacosihecatonicosachoron.
A double cover of this polychoron can be seen as the bitruncated grand stellated hecatonicosachoron.
Cross sections[edit  edit source]
Vertex coordinates[edit  edit source]
Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.
External links[edit  edit source]
 Bowers, Jonathan. "Category 7: Bitruncates" (#F1).
 Bowers, Jonathan. "Category 18: Ditetrahedrals" (#F1).
 Klitzing, Richard. "sitphi".