| Acronym | ... |
| Name | gax+gofix (?) |
| Circumradius | (sqrt(5)-1)/2 = 0.618034 |
| General of army | ex |
| Colonel of regiment | gishi |
| Confer |
|
Looks like a compound of gax and gofix with vertices and edges identified, while faces coincide by pairs.
As abstract polytope gax+gofix is isomorphic to ex+fix, thereby just scaling the edge figure, a complete pentagon, resp. replacing gike by ike and replacing gacid vertex figures by cid ones.
Just as gacid itself (with vertices being identified) comes in 2 flavors, type A) as in o5/3x3o5*a with vertex figure [(5/3,3)5] or type B) as in o5/3o5/2x3*a with vertex figure [(5/2,3)5]/3, accordingly either one can be used as vertex figure here too. Thus gax+gofix comes alike in 2 corresponding flavors (types being marked accordingly).
Incidence matrix according to Dynkin symbol
x3o3o5o5/3*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 -------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 -------------+-----+-----+------+-------- x3o3o . ♦ 4 | 6 | 4 | 600 * x3o . o5/3*b ♦ 12 | 30 | 20 | * 120
x3o3o5/4o5/2*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 ---------------+-----+-----+------+-------- x3o3o . ♦ 4 | 6 | 4 | 600 * x3o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3o3/2o5o5/2*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 ---------------+-----+-----+------+-------- x3o3/2o . ♦ 4 | 6 | 4 | 600 * x3o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3o3/2o5/4o5/3*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3o3/2o . ♦ 4 | 6 | 4 | 600 * x3o . o5/3*b ♦ 12 | 30 | 20 | * 120
x3/2o3o5o5/3*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 ---------------+-----+-----+------+-------- x3/2o3o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/3*b ♦ 12 | 30 | 20 | * 120
x3/2o3o5/4o5/2*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3/2o3o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3/2o3/2o5o5/2*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3/2o3/2o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3/2o3/2o5/4o5/3*b (type A) . . . . | 120 ♦ 12 | 60 | 20 12 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -------------------+-----+-----+------+-------- x3/2o3/2o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/3*b ♦ 12 | 30 | 20 | * 120
x3o3o5/2o5/3*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 ---------------+-----+-----+------+-------- x3o3o . ♦ 4 | 6 | 4 | 600 * x3o . o5/3*b ♦ 12 | 30 | 20 | * 120
x3o3o5/3o5/2*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 ---------------+-----+-----+------+-------- x3o3o . ♦ 4 | 6 | 4 | 600 * x3o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3o3/2o5/2o5/2*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3o3/2o . ♦ 4 | 6 | 4 | 600 * x3o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3o3/2o5/3o5/3*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3o3/2o . ♦ 4 | 6 | 4 | 600 * x3o . o5/3*b ♦ 12 | 30 | 20 | * 120
x3/2o3o5/2o5/3*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3/2o3o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/3*b ♦ 12 | 30 | 20 | * 120
x3/2o3o5/3o5/2*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3/2o3o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3/2o3/2o5/2o5/2*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -------------------+-----+-----+------+-------- x3/2o3/2o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/2*b ♦ 12 | 30 | 20 | * 120
x3/2o3/2o5/3o5/3*b (type B) . . . . | 120 ♦ 12 | 60 | 20 12 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -------------------+-----+-----+------+-------- x3/2o3/2o . ♦ 4 | 6 | 4 | 600 * x3/2o . o5/3*b ♦ 12 | 30 | 20 | * 120
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