# List of noble polychora

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## Pentachoric symmetry[edit | edit source]

Hull | ID | Name | Cells | Cell | Vertex figure | Fissary |
---|---|---|---|---|---|---|

Pentachoron 5 vertices |
1 | Pentachoron | 5 | |||

Rectified pentachoron 10 vertices |
2 | Noble faceting of rectified pentachoron | 10 | Triangular toroprism (pinnip verf) |

## Decachoric symmetry[edit | edit source]

## Tesseractic symmetry[edit | edit source]

## Icositetrachoric symmetry[edit | edit source]

Hull | ID | Name | Cells | Cell | Vertex figure | Fissary |
---|---|---|---|---|---|---|

Icositetrachoron 24 vertices |
1 | Icositetrachoron | 24 | |||

2a | 96 | Triangular prism (rico verf) | Great triakis octahedron | |||

3a | 96 | Triangular retroprism (frico verf) | ||||

4a | 96 | Triangular prism (rit verf) | Excavated cube | |||

5a | 96 | Triangular retroprism (firt verf) | ||||

6a | 96 | Triangular toroprism (hinnit verf) | ||||

Rectified icositetrachoron 96 vertices |
2b | 24 | Quasitruncated cube | |||

3b | 24 | Faceting of rhombicuboctahedron | ||||

4b | 24 | Hypertruncated octahedron | ||||

5b | 24 | Faceting of truncated octahedron | ||||

6b | 24 | Faceting of truncated octahedron | ||||

7a | 144 | Faceting of square cupola | ||||

8a | 144 | Faceting of square cupola | Yes | |||

9a | 192 | Faceting of triangular cupola | ||||

10a | 192 | Faceting of triangular cupola | ||||

11a | 192 | Faceting of ditrigonal frustum | ||||

12a | 192 | Faceting of ditrigonal frustum | ||||

13a | 192 | Faceting of ditrigonal frustum | Yes | |||

14a | 192 | Faceting of ditrigonal frustum | Yes | |||

15a | 576 | Blend of 2 square pyramids (sobthex verf) | Yes | |||

Small prismatotetracontoctachoron 144 vertices |
7b | 96 | Faceting of elongated triangular orthobicupola | Yes | ||

8b | 96 | Faceting of elongated triangular orthobicupola | ||||

16a | 192 | Faceting of elongated triangular cupola | Yes | |||

17a | 192 | Faceting of elongated triangular cupola | Yes | |||

18a | 288 | Faceting of irregular hexagonal prism | Yes | |||

19a | 288 | Faceting of irregular elongated hexagonal bipyramid | Yes | |||

20a | 576 | Yes | ||||

21a | 576 | Yes | ||||

22a | 576 | Yes | ||||

23a | 576 | Yes |