Acronym | ... |
Name | 3ex+fix (?) |
Circumradius | (1+sqrt(5))/2 = 1.618034 |
General of army | ex |
Colonel of regiment | ex |
Confer |
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Looks like a compound of 3 coincident exes with fix, and indeed the vertices coincide by four, edges coincide by six, {3}s by four, and tets by 3.
Incidence matrix according to Dynkin symbol
x3/2x3o5o . . . . | 1440 | 1 5 | 5 5 | 5 1 ----------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 ----------+------+----------+-----------+-------- x3/2x . . | 6 | 3 3 | 1200 * | 2 0 . x3o . | 3 | 0 3 | * 2400 | 1 1 ----------+------+----------+-----------+-------- x3/2x3o . ♦ 12 | 6 12 | 4 4 | 600 * . x3o5o ♦ 12 | 0 30 | 0 20 | * 120
x3/2x3/2o5o . . . . | 1440 | 1 5 | 5 5 | 5 1 ------------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 ------------+------+----------+-----------+-------- x3/2x . . | 6 | 3 3 | 1200 * | 2 0 . x3/2o . | 3 | 0 3 | * 2400 | 1 1 ------------+------+----------+-----------+-------- x3/2x3/2o . ♦ 12 | 6 12 | 4 4 | 600 * . x3/2o5o ♦ 12 | 0 30 | 0 20 | * 120
x3/2x3o5/4o . . . . | 1440 | 1 5 | 5 5 | 5 1 ------------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 ------------+------+----------+-----------+-------- x3/2x . . | 6 | 3 3 | 1200 * | 2 0 . x3o . | 3 | 0 3 | * 2400 | 1 1 ------------+------+----------+-----------+-------- x3/2x3o . ♦ 12 | 6 12 | 4 4 | 600 * . x3o5/4o ♦ 12 | 0 30 | 0 20 | * 120
x3/2x3/2o5/4o . . . . | 1440 | 1 5 | 5 5 | 5 1 --------------+------+----------+-----------+-------- x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 --------------+------+----------+-----------+-------- x3/2x . . | 6 | 3 3 | 1200 * | 2 0 . x3/2o . | 3 | 0 3 | * 2400 | 1 1 --------------+------+----------+-----------+-------- x3/2x3/2o . ♦ 12 | 6 12 | 4 4 | 600 * . x3/2o5/4o ♦ 12 | 0 30 | 0 20 | * 120
(-x)3x3o5o . . . . | 1440 | 1 5 | 5 5 | 5 1 -----------+------+----------+-----------+-------- -x . . . | 2 | 720 * | 5 0 | 5 0 . x . . | 2 | * 3600 | 1 2 | 2 1 -----------+------+----------+-----------+-------- (-x)3x . . | 6 | 3 3 | 1200 * | 2 0 . x3o . | 3 | 0 3 | * 2400 | 1 1 -----------+------+----------+-----------+-------- (-x)3x3o . ♦ 12 | 6 12 | 4 4 | 600 * . x3o5o ♦ 12 | 0 30 | 0 20 | * 120
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