Acronym | ... |
Name | 2ex (?) |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
Inradius | sqrt[(9+4 sqrt(5))/8] = 1.497676 |
General of army | ex |
Colonel of regiment | ex |
Confer |
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Looks like a compound of 2 ex with vertices and edges identified, while faces and cells coincide by pairs.
As abstract polytope 2ex is isomorphic to 2gax, thereby replacing {10/2} edge figures by {10/4} ones resp. replacing 2ike vertex figures by 2gike ones.
Incidence matrix according to Dynkin symbol
x3o3o5/2o3*b . . . . | 120 ♦ 12 | 60 | 20 20 -------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 -------------+-----+-----+------+-------- x3o3o . ♦ 4 | 6 | 4 | 600 * x3o . o3*b ♦ 4 | 6 | 4 | * 600
or . . . . | 120 ♦ 12 | 60 | 40 ----------------+-----+-----+------+----- x . . . | 2 | 720 | 10 | 10 ----------------+-----+-----+------+----- x3o . . | 3 | 3 | 2400 | 2 ----------------+-----+-----+------+----- x3o3o . & ♦ 4 | 6 | 4 | 1200
x3o3o5/3o3/2*b . . . . | 120 ♦ 12 | 60 | 20 20 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 ---------------+-----+-----+------+-------- x3o3o . ♦ 4 | 6 | 4 | 600 * x3o . o3/2*b ♦ 4 | 6 | 4 | * 600
x3o3/2o5/2o3/2*b . . . . | 120 ♦ 12 | 60 | 20 20 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3o3/2o . ♦ 4 | 6 | 4 | 600 * x3o . o3/2*b ♦ 4 | 6 | 4 | * 600
or . . . . | 120 ♦ 12 | 60 | 40 --------------------+-----+-----+------+----- x . . . | 2 | 720 | 10 | 10 --------------------+-----+-----+------+----- x3o . . | 3 | 3 | 2400 | 2 --------------------+-----+-----+------+----- x3o3/2o . & ♦ 4 | 6 | 4 | 1200
x3/2o3o5/2o3*b . . . . | 120 ♦ 12 | 60 | 20 20 ---------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 ---------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 ---------------+-----+-----+------+-------- x3/2o3o . ♦ 4 | 6 | 4 | 600 * x3/2o . o3*b ♦ 4 | 6 | 4 | * 600
or . . . . | 120 ♦ 12 | 60 | 40 ------------------+-----+-----+------+----- x . . . | 2 | 720 | 10 | 10 ------------------+-----+-----+------+----- x3/2o . . | 3 | 3 | 2400 | 2 ------------------+-----+-----+------+----- x3/2o3o . & ♦ 4 | 6 | 4 | 1200
x3/2o3o5/3o3/2*b . . . . | 120 ♦ 12 | 60 | 20 20 -----------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -----------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -----------------+-----+-----+------+-------- x3/2o3o . ♦ 4 | 6 | 4 | 600 * x3/2o . o3/2*b ♦ 4 | 6 | 4 | * 600
x3/2o3/2o5/2o3/2*b . . . . | 120 ♦ 12 | 60 | 20 20 -------------------+-----+-----+------+-------- x . . . | 2 | 720 | 10 | 5 5 -------------------+-----+-----+------+-------- x3/2o . . | 3 | 3 | 2400 | 1 1 -------------------+-----+-----+------+-------- x3/2o3/2o . ♦ 4 | 6 | 4 | 600 * x3/2o . o3/2*b ♦ 4 | 6 | 4 | * 600
or . . . . | 120 ♦ 12 | 60 | 40 ----------------------+-----+-----+------+----- x . . . | 2 | 720 | 10 | 10 ----------------------+-----+-----+------+----- x3/2o . . | 3 | 3 | 2400 | 2 ----------------------+-----+-----+------+----- x3/2o3/2o . & ♦ 4 | 6 | 4 | 1200
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