Section 7
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
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