Familii de politopuri
Există mai multe familii de politopuri simetrice cu simetrie ireductibilă care au un membru în mai mult de o dimensionalitate. Acestea sunt tabelate aici prin proiecții în poligoane Petrie și diagrame Coxeter–Dynkin.
Tabelul familiilor de politopuri ireductibile | ||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Familia n | n-simplex | n-hipercub | n-ortoplex | n-semicub | 1k2 | 2k1 | k21 | politop pentagonal | ||||||||
Grup | An | Bn |
|
| Hn | |||||||||||
2 | ![]() ![]() ![]() ![]() Triunghi | ![]() ![]() ![]() ![]() Pătrat | ![]() ![]() ![]() ![]() p-gon (exemplu: p=7) | ![]() ![]() ![]() ![]() Hexagon | ![]() ![]() ![]() ![]() Pentagon | |||||||||||
3 | ![]() ![]() ![]() ![]() ![]() ![]() Tetraedru | ![]() ![]() ![]() ![]() ![]() ![]() Cub | ![]() ![]() ![]() ![]() ![]() ![]() Octaedru | ![]() ![]() ![]() ![]() Tetraedru | ![]() ![]() ![]() ![]() ![]() ![]() Dodecaedru | ![]() ![]() ![]() ![]() ![]() ![]() Icosaedru | ||||||||||
4 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 5-celule | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 16-celule | ![]() ![]() ![]() ![]() ![]() ![]() Semitesseract | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 24-celule | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 120-celule | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 600-celule | |||||||||
5 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 5-simplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 5-hipercub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 5-ortoplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 5-semicub | ||||||||||||
6 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 6-simplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 6-hipercub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 6-ortoplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 6-semicub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 122 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 221 | ||||||||||
7 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 7-simplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 7-hipercub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 7-ortoplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 7-semicub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 132 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 231 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 321 | |||||||||
8 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 8-simplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 8-hipercub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 8-ortoplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 8-semicub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 142 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 241 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 421 | |||||||||
9 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 9-simplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 9-hipercub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 9-ortoplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 9-semicub | ||||||||||||
10 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 10-simplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 10-hipercub | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 10-ortoplex | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() 10-semicub |
v • d • m Politopuri regulate și uniforme convexe fundamentale în dimensiunile 2–10 | ||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Familie | An | Bn | I2(p) / Dn | E6 / E7 / E8 / F4 / G2 | Hn | |||||||
Poligoane regulate | Triunghi | Pătrat | p-gon | Hexagon | Pentagon | |||||||
Poliedre uniforme | Tetraedru | Octaedru • Cub | Semicub | Dodecaedru • Icosaedru | ||||||||
4-politopuri uniforme | 5-celule | 16-celule • Tesseract | Semitesseract | 24-celule | 120-celule • 600-celule | |||||||
5-politopuri uniforme | 5-simplex | 5-ortoplex • 5-cub | 5-semicub | |||||||||
6-politopuri uniforme | 6-simplex | 6-ortoplex • 6-cub | 6-semicub | 122 • 221 | ||||||||
7-politopuri uniforme | 7-simplex | 7-ortoplex • 7-cub | 7-semicub | 132 • 231 • 321 | ||||||||
8-politopuri uniforme | 8-simplex | 8-ortoplex • 8-cub | 8-semicub | 142 • 241 • 421 | ||||||||
9-politopuri uniforme | 9-simplex | 9-ortoplex • 9-cub | 9-semicub | |||||||||
10-politopuri uniforme | 10-simplex | 10-ortoplex • 10-cub | 10-semicub | |||||||||
n-politopuri uniforme | n-simplex | n-ortoplex • n-cub | n-semicub | 1k2 • 2k1 • k21 | n-politop pentagonal | |||||||
Topicuri: Familii de politopuri • Politop regulat |