Acronym | ... |
Name | 2frico (?) |
Circumradius | sqrt(3) = 1.732051 |
Coordinates | (sqrt(2), 1/sqrt(2), 1/sqrt(2), 0) & all permutations, all changes of sign |
General of army | rico |
Colonel of regiment | rico |
Confer |
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Looks like a completely coincident compound of 2 copies of frico, in fact all elements coincide by 2.
Incidence matrix according to Dynkin symbol
x3x4o3o4/3*a . . . . | 192 | 3 3 | 6 3 3 | 3 3 1 1 -------------+-----+---------+-------------+------------ x . . . | 2 | 288 * | 2 2 0 | 1 2 1 0 . x . . | 2 | * 288 | 2 0 2 | 2 1 0 1 -------------+-----+---------+-------------+------------ x3x . . | 6 | 3 3 | 192 * * | 1 1 0 0 x . . o4/3*a | 4 | 4 0 | * 144 * | 1 0 1 0 . x4o . | 4 | 0 4 | * * 144 | 0 1 0 1 -------------+-----+---------+-------------+------------ x3x4o . ♦ 24 | 12 24 | 8 6 0 | 24 * * * x3x . o4/3*a ♦ 24 | 24 12 | 8 0 6 | * 24 * * x . o3o4/3*a ♦ 8 | 12 0 | 0 6 0 | * * 24 * . x4o3o ♦ 8 | 0 12 | 0 0 6 | * * * 24
x3x4o3/2o4*a . . . . | 192 | 3 3 | 6 3 3 | 3 3 1 1 -------------+-----+---------+-------------+------------ x . . . | 2 | 288 * | 2 2 0 | 1 2 1 0 . x . . | 2 | * 288 | 2 0 2 | 2 1 0 1 -------------+-----+---------+-------------+------------ x3x . . | 6 | 3 3 | 192 * * | 1 1 0 0 x . . o4*a | 4 | 4 0 | * 144 * | 1 0 1 0 . x4o . | 4 | 0 4 | * * 144 | 0 1 0 1 -------------+-----+---------+-------------+------------ x3x4o . ♦ 24 | 12 24 | 8 6 0 | 24 * * * x3x . o4*a ♦ 24 | 24 12 | 8 0 6 | * 24 * * x . o3/2o4*a ♦ 8 | 12 0 | 0 6 0 | * * 24 * . x4o3/2o ♦ 8 | 0 12 | 0 0 6 | * * * 24
or . . . . | 192 | 6 | 6 6 | 6 2 ----------------+-----+-----+---------+------ x . . . & | 2 | 576 | 2 2 | 3 1 ----------------+-----+-----+---------+------ x3x . . | 6 | 6 | 192 * | 2 0 x . . o4*a & | 4 | 4 | * 288 | 1 1 ----------------+-----+-----+---------+------ x3x4o . & ♦ 24 | 36 | 8 6 | 48 * x . o3/2o4*a & ♦ 8 | 12 | 0 6 | * 48
x3x4/3o3/2o4/3*a . . . . | 192 | 3 3 | 6 3 3 | 3 3 1 1 -----------------+-----+---------+-------------+------------ x . . . | 2 | 288 * | 2 2 0 | 1 2 1 0 . x . . | 2 | * 288 | 2 0 2 | 2 1 0 1 -----------------+-----+---------+-------------+------------ x3x . . | 6 | 3 3 | 192 * * | 1 1 0 0 x . . o4/3*a | 4 | 4 0 | * 144 * | 1 0 1 0 . x4/3o . | 4 | 0 4 | * * 144 | 0 1 0 1 -----------------+-----+---------+-------------+------------ x3x4/3o . ♦ 24 | 12 24 | 8 6 0 | 24 * * * x3x . o4/3*a ♦ 24 | 24 12 | 8 0 6 | * 24 * * x . o3/2o4/3*a ♦ 8 | 12 0 | 0 6 0 | * * 24 * . x4/3o3/2o ♦ 8 | 0 12 | 0 0 6 | * * * 24
or . . . . | 192 | 6 | 6 6 | 6 2 --------------------+-----+-----+---------+------ x . . . & | 2 | 576 | 2 2 | 3 1 --------------------+-----+-----+---------+------ x3x . . | 6 | 6 | 192 * | 2 0 x . . o4/3*a & | 4 | 4 | * 288 | 1 1 --------------------+-----+-----+---------+------ x3x4/3o . & ♦ 24 | 36 | 8 6 | 48 * x . o3/2o4/3*a & ♦ 8 | 12 | 0 6 | * 48
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