Acronym | ... |
Name | 2firp (?) |
Circumradius | sqrt(3/5) = 0.774597 |
General of army | rap |
Colonel of regiment | rap |
Confer |
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Looks like a compound of 2 facetted rectified pentachora (firp), and indeed all elements coincide by pairs.
Incidence matrix according to Dynkin symbol
x3o3o3/2x . . . . | 20 | 3 3 | 3 6 3 | 1 3 3 1 ----------+----+-------+----------+---------- x . . . | 2 | 30 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 30 | 0 2 2 | 0 1 2 1 ----------+----+-------+----------+---------- x3o . . | 3 | 3 0 | 20 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 30 * | 0 1 1 0 . . o3/2x | 3 | 0 3 | * * 20 | 0 0 1 1 ----------+----+-------+----------+---------- x3o3o . ♦ 4 | 6 0 | 4 0 0 | 5 * * * x3o . x ♦ 6 | 6 3 | 2 3 0 | * 10 * * x . o3/2x ♦ 6 | 3 6 | 0 3 2 | * * 10 * . o3o3/2x ♦ 4 | 0 6 | 0 0 4 | * * * 5
x3o3/2o3x . . . . | 20 | 3 3 | 3 6 3 | 1 3 3 1 ----------+----+-------+----------+---------- x . . . | 2 | 30 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 30 | 0 2 2 | 0 1 2 1 ----------+----+-------+----------+---------- x3o . . | 3 | 3 0 | 20 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 30 * | 0 1 1 0 . . o3x | 3 | 0 3 | * * 20 | 0 0 1 1 ----------+----+-------+----------+---------- x3o3/2o . ♦ 4 | 6 0 | 4 0 0 | 5 * * * x3o . x ♦ 6 | 6 3 | 2 3 0 | * 10 * * x . o3x ♦ 6 | 3 6 | 0 3 2 | * * 10 * . o3/2o3x ♦ 4 | 0 6 | 0 0 4 | * * * 5
or . . . . | 20 | 6 | 6 6 | 2 6 -------------+----+----+-------+------ x . . . & | 2 | 60 | 2 2 | 1 3 -------------+----+----+-------+------ x3o . . & | 3 | 3 | 40 * | 1 1 x . . x | 4 | 4 | * 30 | 0 2 -------------+----+----+-------+------ x3o3/2o . & ♦ 4 | 6 | 4 0 | 10 * x3o . x & ♦ 6 | 9 | 2 3 | * 20
x3/2o3/2o3/2x . . . . | 20 | 3 3 | 3 6 3 | 1 3 3 1 --------------+----+-------+----------+---------- x . . . | 2 | 30 * | 2 2 0 | 1 2 1 0 . . . x | 2 | * 30 | 0 2 2 | 0 1 2 1 --------------+----+-------+----------+---------- x3/2o . . | 3 | 3 0 | 20 * * | 1 1 0 0 x . . x | 4 | 2 2 | * 30 * | 0 1 1 0 . . o3/2x | 3 | 0 3 | * * 20 | 0 0 1 1 --------------+----+-------+----------+---------- x3/2o3/2o . ♦ 4 | 6 0 | 4 0 0 | 5 * * * x3/2o . x ♦ 6 | 6 3 | 2 3 0 | * 10 * * x . o3/2x ♦ 6 | 3 6 | 0 3 2 | * * 10 * . o3/2o3/2x ♦ 4 | 0 6 | 0 0 4 | * * * 5
or . . . . | 20 | 6 | 6 6 | 2 6 -----------------+----+----+-------+------ x . . . & | 2 | 60 | 2 2 | 1 3 -----------------+----+----+-------+------ x3/2o . . & | 3 | 3 | 40 * | 1 1 x . . x | 4 | 4 | * 30 | 0 2 -----------------+----+----+-------+------ x3/2o3/2o . & ♦ 4 | 6 | 4 0 | 10 * x3/2o . x & ♦ 6 | 9 | 2 3 | * 20
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