Acronym | sedit pathi |
Name | small exoditetrahedronary prismatotriakishecatonicosachoron |
Circumradius | sqrt[3+sqrt(5)] = 2.288246 |
General of army | hi |
Colonel of regiment | sidtaxhi |
Face vector | 2400, 10800, 8880, 1080 |
Confer |
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As abstract polytope sedit pathi is isomorphic to gaedit pathi, thereby replacing pentagons by pentagrams, resp. doe by gissid, pip by stip, srid by qrid, and gidtid by sidtid.
This exotic polychoron has vertices coincident by 4, so that the axial vertex figures fx3/2of&#q becomes a ditetrahedral compound, edges coincide by 3, and both types of pentagons coincide one by one.
It also can be obtained as blend of siddit paxhi with sidtaxady, blending out the tet.
Incidence matrix according to Dynkin symbol
x5o3o5/4x3*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 -------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 -------------+------+-----------+---------------------+---------------- x5o . . | 5 | 5 0 | 1440 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x3*b | 3 | 0 3 | * * 2400 * | 0 1 0 1 . . o5/4x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -------------+------+-----------+---------------------+---------------- x5o3o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5o . x3*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5/4x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3o5/4x3*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
x5o3/2o5x3*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 -------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 -------------+------+-----------+---------------------+---------------- x5o . . | 5 | 5 0 | 1440 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x3*b | 3 | 0 3 | * * 2400 * | 0 1 0 1 . . o5x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -------------+------+-----------+---------------------+---------------- x5o3/2o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5o . x3*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3/2o5x3*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
x5/4o3o5x3/2*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 ---------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 ---------------+------+-----------+---------------------+---------------- x5/4o . . | 5 | 5 0 | 1440 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x3/2*b | 3 | 0 3 | * * 2400 * | 0 1 0 1 . . o5x | 5 | 0 5 | * * * 1440 | 0 0 1 1 ---------------+------+-----------+---------------------+---------------- x5/4o3o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5/4o . x3/2*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3o5x3/2*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
x5/4o3/2o5/4x3/2*b . . . . | 2400 | 3 6 | 3 6 3 3 | 1 3 3 1 -------------------+------+-----------+---------------------+---------------- x . . . | 2 | 3600 * | 2 2 0 0 | 1 2 1 0 . . . x | 2 | * 7200 | 0 1 1 1 | 0 1 1 1 -------------------+------+-----------+---------------------+---------------- x5/4o . . | 5 | 5 0 | 1440 * * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * * | 0 1 1 0 . o . x3/2*b | 3 | 0 3 | * * 2400 * | 0 1 0 1 . . o5/4x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -------------------+------+-----------+---------------------+---------------- x5/4o3/2o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5/4o . x3/2*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5/4x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3/2o5/4x3/2*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
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