Acronym | ... |
Name | sishi+gaghi+120did (?) |
Circumradius | 1 |
General of army | ex |
Colonel of regiment | sishi |
Confer |
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Looks like a compound of a sishi with gaghi. Cells are connected by further 120 diametral did. Its vertex figure is a variation of cadditradid, in fact v5o5/3f or f5/2o5/4v. Edges coincide by 3, all faces come in coincident pairs, and the did also come in coincident pairs.
As abstract polytope sishi+gaghi+120did is automorph, thereby interchanging pentagrams and pentagons resp. sissid and gad.
Incidence matrix according to Dynkin symbol
x5o5/2o5o5/3*a . . . . | 120 | 60 | 60 60 | 12 30 12 ---------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 ---------------+-----+------+-----------+------------ x5o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/3*a | 5 | 5 | * 1440 | 0 1 1 ---------------+-----+------+-----------+------------ x5o5/2o . ♦ 12 | 30 | 12 0 | 120 * * x5o . o5/3*a ♦ 30 | 60 | 12 12 | * 120 * x . o5o5/3*a ♦ 12 | 30 | 0 12 | * * 120
x5o5/2o5/4o5/2*a . . . . | 120 | 60 | 60 60 | 12 30 12 -----------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 -----------------+-----+------+-----------+------------ x5o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/2*a | 5 | 5 | * 1440 | 0 1 1 -----------------+-----+------+-----------+------------ x5o5/2o . ♦ 12 | 30 | 12 0 | 120 * * x5o . o5/2*a ♦ 30 | 60 | 12 12 | * 120 * x . o5/4o5/2*a ♦ 12 | 30 | 0 12 | * * 120
x5o5/3o5o5/2*a . . . . | 120 | 60 | 60 60 | 12 30 12 ---------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 ---------------+-----+------+-----------+------------ x5o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/2*a | 5 | 5 | * 1440 | 0 1 1 ---------------+-----+------+-----------+------------ x5o5/3o . ♦ 12 | 30 | 12 0 | 120 * * x5o . o5/2*a ♦ 30 | 60 | 12 12 | * 120 * x . o5o5/2*a ♦ 12 | 30 | 0 12 | * * 120
x5/4o5/2o5o5/2*a . . . . | 120 | 60 | 60 60 | 12 30 12 -----------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 -----------------+-----+------+-----------+------------ x5/4o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/2*a | 5 | 5 | * 1440 | 0 1 1 -----------------+-----+------+-----------+------------ x5/4o5/2o . ♦ 12 | 30 | 12 0 | 120 * * x5/4o . o5/2*a ♦ 30 | 60 | 12 12 | * 120 * x . o5o5/2*a ♦ 12 | 30 | 0 12 | * * 120
x5o5/3o5/4o5/3*a . . . . | 120 | 60 | 60 60 | 12 30 12 -----------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 -----------------+-----+------+-----------+------------ x5o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/3*a | 5 | 5 | * 1440 | 0 1 1 -----------------+-----+------+-----------+------------ x5o5/3o . ♦ 12 | 30 | 12 0 | 120 * * x5o . o5/3*a ♦ 30 | 60 | 12 12 | * 120 * x . o5/4o5/3*a ♦ 12 | 30 | 0 12 | * * 120
x5/4o5/2o5/4o5/3*a . . . . | 120 | 60 | 60 60 | 12 30 12 -------------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 -------------------+-----+------+-----------+------------ x5/4o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/3*a | 5 | 5 | * 1440 | 0 1 1 -------------------+-----+------+-----------+------------ x5/4o5/2o . ♦ 12 | 30 | 12 0 | 120 * * x5/4o . o5/3*a ♦ 30 | 60 | 12 12 | * 120 * x . o5/4o5/3*a ♦ 12 | 30 | 0 12 | * * 120
x5/4o5/3o5o5/3*a . . . . | 120 | 60 | 60 60 | 12 30 12 -----------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 -----------------+-----+------+-----------+------------ x5/4o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/3*a | 5 | 5 | * 1440 | 0 1 1 -----------------+-----+------+-----------+------------ x5/4o5/3o . ♦ 12 | 30 | 12 0 | 120 * * x5/4o . o5/3*a ♦ 30 | 60 | 12 12 | * 120 * x . o5o5/3*a ♦ 12 | 30 | 0 12 | * * 120
x5/4o5/3o5/4o5/2*a . . . . | 120 | 60 | 60 60 | 12 30 12 -------------------+-----+------+-----------+------------ x . . . | 2 | 3600 | 2 2 | 1 2 1 -------------------+-----+------+-----------+------------ x5/4o . . | 5 | 5 | 1440 * | 1 1 0 x . . o5/2*a | 5 | 5 | * 1440 | 0 1 1 -------------------+-----+------+-----------+------------ x5/4o5/3o . ♦ 12 | 30 | 12 0 | 120 * * x5/4o . o5/2*a ♦ 30 | 60 | 12 12 | * 120 * x . o5/4o5/2*a ♦ 12 | 30 | 0 12 | * * 120
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