Acronym | ... |
Name | sishi+gaghi+idhi (?) |
Circumradius | 1 |
General of army | ex |
Colonel of regiment | sishi |
Confer |
|
Looks like a compound of a sishi, gaghi, and idhi. Its vertex figure is v3/2f5/2o5*a, which in turn looks like the compound of the vertex figures of these 3 components. Edges coincide by 3 and faces come in coincident pairs.
As abstract polytope sishi+gaghi+idhi is autoomorph, thereby interchanging pentagrams and pentagons resp. sissid and gad.
Incidence matrix according to Dynkin symbol
o5x5/3o5o5/3*a3*c . . . . | 120 | 60 | 60 60 | 20 12 12 ------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 ------------------+-----+------+-----------+------------ o5x . . | 5 | 5 | 1440 * | 1 1 0 . x5/3o . | 5 | 5 | * 1440 | 1 0 1 ------------------+-----+------+-----------+------------ o5x5/3o . *a3*c ♦ 20 | 60 | 12 12 | 120 * * o5x . o5/3*a ♦ 12 | 30 | 12 0 | * 120 * . x5/3o5o ♦ 12 | 30 | 0 12 | * * 120
o5x5/2o5o5/2*a3/2*c . . . . | 120 | 60 | 60 60 | 20 12 12 --------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 --------------------+-----+------+-----------+------------ o5x . . | 5 | 5 | 1440 * | 1 1 0 . x5/2o . | 5 | 5 | * 1440 | 1 0 1 --------------------+-----+------+-----------+------------ o5x5/2o . *a3/2*c ♦ 20 | 60 | 12 12 | 120 * * o5x . o5/2*a ♦ 12 | 30 | 12 0 | * 120 * . x5/2o5o ♦ 12 | 30 | 0 12 | * * 120
o5x5/3o5/4o5/2*a3*c . . . . | 120 | 60 | 60 60 | 20 12 12 --------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 --------------------+-----+------+-----------+------------ o5x . . | 5 | 5 | 1440 * | 1 1 0 . x5/3o . | 5 | 5 | * 1440 | 1 0 1 --------------------+-----+------+-----------+------------ o5x5/3o . *a3*c ♦ 20 | 60 | 12 12 | 120 * * o5x . o5/2*a ♦ 12 | 30 | 12 0 | * 120 * . x5/3o5/4o ♦ 12 | 30 | 0 12 | * * 120
o5x5/2o5/4o5/3*a3/2*c . . . . | 120 | 60 | 60 60 | 20 12 12 ----------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 ----------------------+-----+------+-----------+------------ o5x . . | 5 | 5 | 1440 * | 1 1 0 . x5/2o . | 5 | 5 | * 1440 | 1 0 1 ----------------------+-----+------+-----------+------------ o5x5/2o . *a3/2*c ♦ 20 | 60 | 12 12 | 120 * * o5x . o5/3*a ♦ 12 | 30 | 12 0 | * 120 * . x5/2o5/4o ♦ 12 | 30 | 0 12 | * * 120
o5/4x5/2o5o5/3*a3*c . . . . | 120 | 60 | 60 60 | 20 12 12 --------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 --------------------+-----+------+-----------+------------ o5/4x . . | 5 | 5 | 1440 * | 1 1 0 . x5/2o . | 5 | 5 | * 1440 | 1 0 1 --------------------+-----+------+-----------+------------ o5/4x5/2o . *a3*c ♦ 20 | 60 | 12 12 | 120 * * o5/4x . o5/3*a ♦ 12 | 30 | 12 0 | * 120 * . x5/2o5o ♦ 12 | 30 | 0 12 | * * 120
o5/4x5/3o5o5/2*a3/2*c . . . . | 120 | 60 | 60 60 | 20 12 12 ----------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 ----------------------+-----+------+-----------+------------ o5/4x . . | 5 | 5 | 1440 * | 1 1 0 . x5/3o . | 5 | 5 | * 1440 | 1 0 1 ----------------------+-----+------+-----------+------------ o5/4x5/3o . *a3/2*c ♦ 20 | 60 | 12 12 | 120 * * o5/4x . o5/2*a ♦ 12 | 30 | 12 0 | * 120 * . x5/3o5o ♦ 12 | 30 | 0 12 | * * 120
o5/4x5/2o5/4o5/2*a3*c . . . . | 120 | 60 | 60 60 | 20 12 12 ----------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 ----------------------+-----+------+-----------+------------ o5/4x . . | 5 | 5 | 1440 * | 1 1 0 . x5/2o . | 5 | 5 | * 1440 | 1 0 1 ----------------------+-----+------+-----------+------------ o5/4x5/2o . *a3*c ♦ 20 | 60 | 12 12 | 120 * * o5/4x . o5/2*a ♦ 12 | 30 | 12 0 | * 120 * . x5/2o5/4o ♦ 12 | 30 | 0 12 | * * 120
o5/4x5/3o5/4o5/3*a3/2*c . . . . | 120 | 60 | 60 60 | 20 12 12 ------------------------+-----+------+-----------+------------ . x . . | 2 | 3600 | 2 2 | 2 1 1 ------------------------+-----+------+-----------+------------ o5/4x . . | 5 | 5 | 1440 * | 1 1 0 . x5/3o . | 5 | 5 | * 1440 | 1 0 1 ------------------------+-----+------+-----------+------------ o5/4x5/3o . *a3/2*c ♦ 20 | 60 | 12 12 | 120 * * o5/4x . o5/3*a ♦ 12 | 30 | 12 0 | * 120 * . x5/3o5/4o ♦ 12 | 30 | 0 12 | * * 120
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