Acronym | ... |
Name | 2gaghi+2paphacki (?) |
Circumradius | 1 |
General of army | ex |
Colonel of regiment | sishi |
Confer |
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2gaghi+2paphacki (?) is an edge-faceting of the small stellated hecatonicosachoron (sishi), which looks like the compound of 2 coincident gaghi with 2 coincident paphacki. In fact, the vertices coincide by 12 each, further edges coincide by 6, pentagons by 4, and all other elements by pairs.
As abstract polytope 2gaghi+2paphacki is isomorphic to 2sishi+2paphicki, thereby replacing pentagons by pentagrams, resp. replacing gad by sissid, and pip by stip.
Incidence matrix according to Dynkin symbol
x5o5/3o5x . . . . | 1440 | 5 5 | 5 10 5 | 1 5 5 1 ----------+------+-----------+----------------+---------------- x . . . | 2 | 3600 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 3600 | 0 2 2 | 0 1 2 1 ----------+------+-----------+----------------+---------------- x5o . . | 5 | 5 0 | 1440 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * | 0 1 1 0 . . o5x | 5 | 0 5 | * * 1440 | 0 0 1 1 ----------+------+-----------+----------------+---------------- x5o5/3o . ♦ 12 | 30 0 | 12 0 0 | 120 * * * x5o . x ♦ 10 | 10 5 | 2 5 0 | * 720 * * x . o5x ♦ 10 | 5 10 | 0 5 2 | * * 720 * . o5/3o5x ♦ 12 | 0 30 | 0 0 12 | * * * 120
or . . . . | 1440 | 10 | 10 10 | 2 10 -------------+------+------+-----------+--------- x . . . & | 2 | 7200 | 2 2 | 1 3 -------------+------+------+-----------+--------- x5o . . & | 5 | 5 | 2880 * | 1 1 x . . x | 4 | 4 | * 3600 | 0 2 -------------+------+------+-----------+--------- x5o5/3o . & ♦ 12 | 30 | 12 0 | 240 * x5o . x & ♦ 10 | 15 | 2 5 | * 1440
x5o5/2o5/4x . . . . | 1440 | 5 5 | 5 10 5 | 1 5 5 1 ------------+------+-----------+----------------+---------------- x . . . | 2 | 3600 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 3600 | 0 2 2 | 0 1 2 1 ------------+------+-----------+----------------+---------------- x5o . . | 5 | 5 0 | 1440 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * | 0 1 1 0 . . o5/4x | 5 | 0 5 | * * 1440 | 0 0 1 1 ------------+------+-----------+----------------+---------------- x5o5/2o . ♦ 12 | 30 0 | 12 0 0 | 120 * * * x5o . x ♦ 10 | 10 5 | 2 5 0 | * 720 * * x . o5/4x ♦ 10 | 5 10 | 0 5 2 | * * 720 * . o5/2o5/4x ♦ 12 | 0 30 | 0 0 12 | * * * 120
x5/4o5/3o5/4x . . . . | 1440 | 5 5 | 5 10 5 | 1 5 5 1 --------------+------+-----------+----------------+---------------- x . . . | 2 | 3600 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 3600 | 0 2 2 | 0 1 2 1 --------------+------+-----------+----------------+---------------- x5/4o . . | 5 | 5 0 | 1440 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 3600 * | 0 1 1 0 . . o5/4x | 5 | 0 5 | * * 1440 | 0 0 1 1 --------------+------+-----------+----------------+---------------- x5/4o5/3o . ♦ 12 | 30 0 | 12 0 0 | 120 * * * x5/4o . x ♦ 10 | 10 5 | 2 5 0 | * 720 * * x . o5/4x ♦ 10 | 5 10 | 0 5 2 | * * 720 * . o5/3o5/4x ♦ 12 | 0 30 | 0 0 12 | * * * 120
or . . . . | 1440 | 10 | 10 10 | 2 10 -----------------+------+------+-----------+--------- x . . . & | 2 | 7200 | 2 2 | 1 3 -----------------+------+------+-----------+--------- x5/4o . . & | 5 | 5 | 2880 * | 1 1 x . . x | 4 | 4 | * 3600 | 0 2 -----------------+------+------+-----------+--------- x5/4o5/3o . & ♦ 12 | 30 | 12 0 | 240 * x5/4o . x & ♦ 10 | 15 | 2 5 | * 1440
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