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- general polytopal classes:
- Wythoffian polychora
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| Acronym | ridtidohi |
| Name | rectified ditrigonary dishecatonicosachoron |
| Cross sections |
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| Circumradius | sqrt(3) = 1.732051 |
| General of army | rahi |
| Colonel of regiment | rissidtixhi |
| Face vector | 1200, 7200, 5280, 360 |
| Confer |
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External links |
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As abstract polytope ridtidohi is automorphic, thereby interchanging the roles of pentagons and pentagrams resp. those of gid and id.
Incidence matrix according to Dynkin symbol
o
3 |
x
5 / \ 5/3
o---o
3
o3x5o3o5/3*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 -------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 -------------+------+------+----------------+------------ o3x . . | 3 | 3 | 2400 * * | 1 1 0 . x5o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/3*b | 5 | 5 | * * 1440 | 0 1 1 -------------+------+------+----------------+------------ o3x5o . ♦ 30 | 60 | 20 12 0 | 120 * * o3x . o5/3*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5o3o5/3*b ♦ 20 | 60 | 0 12 12 | * * 120
o
3 |
x
5 / \ 5/2
o---o
3/2
o3x5o3/2o5/2*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 ---------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 ---------------+------+------+----------------+------------ o3x . . | 3 | 3 | 2400 * * | 1 1 0 . x5o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/2*b | 5 | 5 | * * 1440 | 0 1 1 ---------------+------+------+----------------+------------ o3x5o . ♦ 30 | 60 | 20 12 0 | 120 * * o3x . o5/2*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5o3/2o5/2*b ♦ 20 | 60 | 0 12 12 | * * 120
o
3 |
x
5/4 / \ 5/2
o---o
3
o3x5/4o3o5/2*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 ---------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 ---------------+------+------+----------------+------------ o3x . . | 3 | 3 | 2400 * * | 1 1 0 . x5/4o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/2*b | 5 | 5 | * * 1440 | 0 1 1 ---------------+------+------+----------------+------------ o3x5/4o . ♦ 30 | 60 | 20 12 0 | 120 * * o3x . o5/2*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5/4o3o5/2*b ♦ 20 | 60 | 0 12 12 | * * 120
o
3 |
x
5/4 / \ 5/3
o---o
3/2
o3x5/4o3/2o5/3*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 -----------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 -----------------+------+------+----------------+------------ o3x . . | 3 | 3 | 2400 * * | 1 1 0 . x5/4o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/3*b | 5 | 5 | * * 1440 | 0 1 1 -----------------+------+------+----------------+------------ o3x5/4o . ♦ 30 | 60 | 20 12 0 | 120 * * o3x . o5/3*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5/4o3/2o5/3*b ♦ 20 | 60 | 0 12 12 | * * 120
o
3/2 |
x
5 / \ 5/3
o---o
3
o3/2x5o3o5/3*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 ---------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 ---------------+------+------+----------------+------------ o3/2x . . | 3 | 3 | 2400 * * | 1 1 0 . x5o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/3*b | 5 | 5 | * * 1440 | 0 1 1 ---------------+------+------+----------------+------------ o3/2x5o . ♦ 30 | 60 | 20 12 0 | 120 * * o3/2x . o5/3*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5o3o5/3*b ♦ 20 | 60 | 0 12 12 | * * 120
o
3/2 |
x
5 / \ 5/2
o---o
3/2
o3/2x5o3/2o5/2*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 -----------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 -----------------+------+------+----------------+------------ o3/2x . . | 3 | 3 | 2400 * * | 1 1 0 . x5o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/2*b | 5 | 5 | * * 1440 | 0 1 1 -----------------+------+------+----------------+------------ o3/2x5o . ♦ 30 | 60 | 20 12 0 | 120 * * o3/2x . o5/2*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5o3/2o5/2*b ♦ 20 | 60 | 0 12 12 | * * 120
o
3/2 |
x
5/4 / \ 5/2
o---o
3
o3/2x5/4o3o5/2*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 -----------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 -----------------+------+------+----------------+------------ o3/2x . . | 3 | 3 | 2400 * * | 1 1 0 . x5/4o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/2*b | 5 | 5 | * * 1440 | 0 1 1 -----------------+------+------+----------------+------------ o3/2x5/4o . ♦ 30 | 60 | 20 12 0 | 120 * * o3/2x . o5/2*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5/4o3o5/2*b ♦ 20 | 60 | 0 12 12 | * * 120
o
3/2 |
x
5/4 / \ 5/3
o---o
3/2
o3/2x5/4o3/2o5/3*b . . . . | 1200 | 12 | 6 6 6 | 3 3 2 -------------------+------+------+----------------+------------ . x . . | 2 | 7200 | 1 1 1 | 1 1 1 -------------------+------+------+----------------+------------ o3/2x . . | 3 | 3 | 2400 * * | 1 1 0 . x5/4o . | 5 | 5 | * 1440 * | 1 0 1 . x . o5/3*b | 5 | 5 | * * 1440 | 0 1 1 -------------------+------+------+----------------+------------ o3/2x5/4o . ♦ 30 | 60 | 20 12 0 | 120 * * o3/2x . o5/3*b ♦ 30 | 60 | 20 0 12 | * 120 * . x5/4o3/2o5/3*b ♦ 20 | 60 | 0 12 12 | * * 120
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