| 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 |
|
As abstract polytope gaedit pathi is isomorphic tosedit pathi, thereby replacing pentagrams by pentagons, resp.gissid bydoe,stip bypip,qrid bysrid, andsidtid bygidtid.
Thisexotic polychoron has vertices coincident by 4, so that the axial vertex figuresvx3/2ov&#qbecomes a ditetrahedral compound, edges coincide by 3, and both types of pentagrams coincide one by one.
It also can be obtained asblend ofgardtapaxhi withgardtaxady,blending out thetet.
Incidence matrix according toDynkin symbol
x 5/2 | o 3/2 / \ 3 x---o 5/3
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 0x . . 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
x 5/2 | o 3/2 / \ 3/2 x---o 5/2
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 0x . . 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
x 5/3 | o 3 / \ 3 x---o 5/2
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 0x . . 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
x 5/3 | o 3 / \ 3/2 x---o 5/3
x5/3o3/2o5/3x3*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 0x . . 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
© 2004-2025 | top of page |