| Acronym | ... |
| Name | gishi+gashi (?) |
| Circumradius | (sqrt(5)-1)/2 = 0.618034 |
| General of army | ex |
| Colonel of regiment | gishi |
| Confer |
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| Confer |
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Looks like a compound of gishi and gashi with vertices and edges identified, while faces coincide by pairs.
As abstract polytope gishi+gashi is isomorphic to gahi+gohi, thereby just scaling the edge figure, a complete pentagon, resp. replacing gissid by doe, sissid by gad, and replacing cid vertex figures by gacid ones.
Just as cid itself (with vertices being identified) comes in 2 flavors, type A) as in o3/2x5o5*a with vertex figure [(3/2,5)5] or type B) as in o5/3o3x5*a with vertex figure [(3,5)5]/3, accordingly either one can be used as vertex figure here too. Thus gishi+gashi comes alike in 2 corresponding flavors (types being marked accordingly).
Incidence matrix according to Dynkin symbol
x5/2o3o5o5/4*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/2o3o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5/4*b ♦ 12 | 30 | 12 | * 120
x5/2o3o5/4o5*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/2o3o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5*b ♦ 12 | 30 | 12 | * 120
x5/2o3/2o5o5*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/2o3/2o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5*b ♦ 12 | 30 | 12 | * 120
x5/2o3/2o5/4o5/4*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 -------------------+-----+-----+------+-------- x5/2o3/2o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5/4*b ♦ 12 | 30 | 12 | * 120
x5/3o3o5o5/4*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/3o3o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5/4*b ♦ 12 | 30 | 12 | * 120
x5/3o3o5/4o5*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/3o3o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5*b ♦ 12 | 30 | 12 | * 120
x5/3o3/2o5o5*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/3o3/2o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5*b ♦ 12 | 30 | 12 | * 120
x5/3o3/2o5/4o5/4*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 -------------------+-----+-----+------+-------- x5/3o3/2o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5/4*b ♦ 12 | 30 | 12 | * 120
x5/2o3o5/2o5/4*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 -----------------+-----+-----+------+-------- x5/2o3o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5/4*b ♦ 12 | 30 | 12 | * 120
x5/2o3o5/3o5*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/2o3o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5*b ♦ 12 | 30 | 12 | * 120
x5/2o3/2o5/2o5*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 -----------------+-----+-----+------+-------- x5/2o3/2o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5*b ♦ 12 | 30 | 12 | * 120
x5/2o3/2o5/3o5/4*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x5/2o . . | 5 | 5 | 1440 | 1 1 -------------------+-----+-----+------+-------- x5/2o3/2o . ♦ 20 | 30 | 12 | 120 * x5/2o . o5/4*b ♦ 12 | 30 | 12 | * 120
x5/3o3o5/2o5/4*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 -----------------+-----+-----+------+-------- x5/3o3o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5/4*b ♦ 12 | 30 | 12 | * 120
x5/3o3o5/3o5*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 ---------------+-----+-----+------+-------- x5/3o3o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5*b ♦ 12 | 30 | 12 | * 120
x5/3o3/2o5/2o5*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 -----------------+-----+-----+------+-------- x5/3o3/2o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5*b ♦ 12 | 30 | 12 | * 120
x5/3o3/2o5/3o5/4*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x5/3o . . | 5 | 5 | 1440 | 1 1 -------------------+-----+-----+------+-------- x5/3o3/2o . ♦ 20 | 30 | 12 | 120 * x5/3o . o5/4*b ♦ 12 | 30 | 12 | * 120
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