7. Uniform polychora derived from glomeric tetrahedron B4


(o)----o-----o
       |
       |
       o
Hexadecachoron ({3,31,1}: cells: 16 tetrahedra) [not counted, duplicate of 12]

 o----(o)----o
       |
       |
       o
Icositetrachoron ({31,1,1}: cells: 24 octahedra) [not counted, duplicate of 22]

(o)---(o)----o
       |
       |
       o
Truncated hexadecachoron (t0,1{3,31,1}: cells: 8 octahedra, 16 truncated tetrahedra) [not counted, duplicate of 17]

(o)----o----(o)
       |
       |
       o
Tesseractihexadecachoron (t2{3,31,1}: cells: 8 cuboctahedra, 16 tetrahedra) [not counted, duplicate of 11]

(o)---(o)---(o)
       |
       |
       o
Truncated-octahedral tesseractihexadecachoron (t1,2{3,31,1}: cells: 8 truncated octahedra, 16 truncated tetrahedra) [not counted, duplicate of 16]

(o)----o----(o)
       |
       |
      (o)
Disicositetrachoron (t0,2{3,31,1} or t1{31,1,1}: cells: 24 cuboctahedra, 24 cubes) [not counted, duplicate of 23]

(o)---(o)---(o)
       |
       |
      (o)
Truncated icositetrachoron (t0,1,2{3,31,1} or t0,1{31,1,1}: cells: 24 truncated octahedra, 24 cubes) [not counted, duplicate of 24]

( )---( )---( )
       |
       |
      ( )
Snub icositetrachoron (s{31,1,1}: cells: 24 icosahedra, 120 tetrahedra) [not counted, duplicate of 31]

Click on the underlined text to access various portions of the Convex Uniform Polychora List:

Four Dimensional Figures Page: Return to initial page

Nomenclature: How the convex uniform polychora are named

List Key: Explanations of the various List entries

Multidimensional Glossary: Explanations of some geometrical terms and concepts

Section 1: Convex uniform polychora based on the pentachoron (5-cell): polychora #1–9

Section 2: Convex uniform polychora based on the tesseract (hypercube) and hexadecachoron (16-cell): polychora #10–21

Section 3: Convex uniform polychora based on the icositetrachoron (24-cell): polychora #22–31

Section 4: Convex uniform polychora based on the hecatonicosachoron (120-cell) and hexacosichoron (600-cell): polychora #32–46

Section 5: The anomalous non-Wythoffian convex uniform polychoron: polychoron #47

Section 6: Convex uniform prismatic polychora: polychora #48–64 and infinite sets