Acronym | gaedit pathi |
Name | grand exoditetrahedronary prismatotriakishecatonicosachoron |
Circumradius | sqrt[3-sqrt(5)] = 0.874032 |
General of army | hi |
Colonel of regiment | gadtaxady |
Face vector | 2400, 10800, 8880, 1080 |
Confer |
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As abstract polytope gaedit pathi is isomorphic to sedit pathi, thereby replacing pentagrams by pentagons, resp. gissid by doe, stip by pip, qrid by srid, and sidtid by gidtid.
This exotic polychoron has vertices coincident by 4, so that the axial vertex figures vx3/2ov&#q becomes a ditetrahedral compound, edges coincide by 3, and both types of pentagrams coincide one by one.
It also can be obtained as blend of gardtapaxhi with gardtaxady, blending out the tet.
Incidence matrix according to Dynkin symbol
x5/2o3o5/3x3/2*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 -----------------+------+-----------+---------------------+---------------- x5/2o . . | 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 . . o5/3x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -----------------+------+-----------+---------------------+---------------- x5/2o3o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5/2o . x3/2*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5/3x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3o5/3x3/2*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
x5/2o3/2o5/2x3/2*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 -------------------+------+-----------+---------------------+---------------- x5/2o . . | 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 . . o5/2x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -------------------+------+-----------+---------------------+---------------- x5/2o3/2o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5/2o . x3/2*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5/2x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3/2o5/2x3/2*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
x5/3o3o5/2x3*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 ---------------+------+-----------+---------------------+---------------- x5/3o . . | 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 . . o5/2x | 5 | 0 5 | * * * 1440 | 0 0 1 1 ---------------+------+-----------+---------------------+---------------- x5/3o3o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5/3o . x3*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5/2x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3o5/2x3*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
x5o3/2o5/3x3*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 -----------------+------+-----------+---------------------+---------------- x5/3o . . | 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 . . o5/3x | 5 | 0 5 | * * * 1440 | 0 0 1 1 -----------------+------+-----------+---------------------+---------------- x5/3o3/2o . ♦ 20 | 30 0 | 12 0 0 0 | 120 * * * x5/3o . x3*b ♦ 60 | 60 60 | 12 30 20 0 | * 120 * * x . o5/3x ♦ 10 | 5 10 | 0 5 0 2 | * * 720 * . o3/2o5/3x3*b ♦ 20 | 0 60 | 0 0 20 12 | * * * 120
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