Acronym | trittip |
Name |
triangle-triangle-triangle-triprism, vertex figure of ramoh |
© | |
Circumradius | 1 |
Coordinates |
(εn, εm, εk)/sqrt(3) n,m,k ∈ {0,1,2} where ε = exp(2πi/3) and ℝ6 ≅ ℂ3 |
Volume | 3 sqrt(3)/64 = 0.081190 |
Face vector | 27, 81, 108, 81, 36, 9 |
Confer |
|
External links |
Incidence matrix according to Dynkin symbol
x3o x3o x3o . . . . . . | 27 | 2 2 2 | 1 4 4 1 4 1 | 2 2 2 8 2 2 2 | 1 4 1 4 4 1 | 2 2 2 ------------+----+----------+----------------+----------------+-------------+------ x . . . . . | 2 | 27 * * | 1 2 2 0 0 0 | 2 2 1 4 1 0 0 | 1 4 1 2 2 0 | 2 2 1 . . x . . . | 2 | * 27 * | 0 2 0 1 2 0 | 1 0 2 4 0 2 1 | 1 2 0 4 2 1 | 2 1 2 . . . . x . | 2 | * * 27 | 0 0 2 0 2 1 | 0 1 0 4 2 1 2 | 0 2 1 2 4 1 | 1 2 2 ------------+----+----------+----------------+----------------+-------------+------ x3o . . . . | 3 | 3 0 0 | 9 * * * * * | 2 2 0 0 0 0 0 | 1 4 1 0 0 0 | 2 2 0 x . x . . . | 4 | 2 2 0 | * 27 * * * * | 1 0 1 2 0 0 0 | 1 2 0 2 1 0 | 2 1 1 x . . . x . | 4 | 2 0 2 | * * 27 * * * | 0 1 0 2 1 0 0 | 0 2 1 1 2 0 | 1 2 1 . . x3o . . | 3 | 0 3 0 | * * * 9 * * | 0 0 2 0 0 2 0 | 1 0 0 4 0 1 | 2 0 2 . . x . x . | 4 | 0 2 2 | * * * * 27 * | 0 0 0 2 0 1 1 | 0 1 0 2 2 1 | 1 1 2 . . . . x3o | 3 | 0 0 3 | * * * * * 9 | 0 0 0 0 2 0 2 | 0 0 1 0 4 1 | 0 2 2 ------------+----+----------+----------------+----------------+-------------+------ x3o x . . . ♦ 6 | 6 3 0 | 2 3 0 0 0 0 | 9 * * * * * * | 1 2 0 0 0 0 | 2 1 0 x3o . . x . ♦ 6 | 6 0 3 | 2 0 3 0 0 0 | * 9 * * * * * | 0 2 1 0 0 0 | 1 2 0 x . x3o . . ♦ 6 | 3 6 0 | 0 3 0 2 0 0 | * * 9 * * * * | 1 0 0 2 0 0 | 2 0 1 x . x . x . ♦ 8 | 4 4 4 | 0 2 2 0 2 0 | * * * 27 * * * | 0 1 0 1 1 0 | 1 1 1 x . . . x3o ♦ 6 | 3 0 6 | 0 0 3 0 0 2 | * * * * 9 * * | 0 0 1 0 2 0 | 0 2 1 . . x3o x . ♦ 6 | 0 6 3 | 0 0 0 2 3 0 | * * * * * 9 * | 0 0 0 2 0 1 | 1 0 2 . . x . x3o ♦ 6 | 0 3 6 | 0 0 0 0 3 2 | * * * * * * 9 | 0 0 0 0 2 1 | 0 1 2 ------------+----+----------+----------------+----------------+-------------+------ x3o x3o . . ♦ 9 | 9 9 0 | 3 9 0 3 0 0 | 3 0 3 0 0 0 0 | 3 * * * * * | 2 0 0 x3o x . x . ♦ 12 | 12 6 6 | 4 6 6 0 3 0 | 2 2 0 3 0 0 0 | * 9 * * * * | 1 1 0 x3o . . x3o ♦ 9 | 9 0 9 | 3 0 9 0 0 3 | 0 3 0 0 3 0 0 | * * 3 * * * | 0 2 0 x . x3o x . ♦ 12 | 6 12 6 | 0 6 3 4 6 0 | 0 0 2 3 0 2 0 | * * * 9 * * | 1 0 1 x . x . x3o ♦ 12 | 6 6 12 | 0 3 6 0 6 4 | 0 0 0 3 2 0 2 | * * * * 9 * | 0 1 1 . . x3o x3o ♦ 9 | 0 9 9 | 0 0 0 3 9 3 | 0 0 0 0 0 3 3 | * * * * * 3 | 0 0 2 ------------+----+----------+----------------+----------------+-------------+------ x3o x3o x . ♦ 18 | 18 18 9 | 6 18 9 6 9 0 | 6 3 6 9 0 3 0 | 2 3 0 3 0 0 | 3 * * x3o x . x3o ♦ 18 | 18 9 18 | 6 9 18 0 9 6 | 3 6 0 9 6 0 3 | 0 3 2 0 3 0 | * 3 * x . x3o x3o ♦ 18 | 9 18 18 | 0 9 9 6 18 6 | 0 0 3 9 3 6 6 | 0 0 0 3 3 2 | * * 3
or . . . . . . | 27 | 6 | 3 12 | 12 8 | 3 12 | 6 ---------------+----+----+-------+-------+------+-- x . . . . . & | 2 | 81 | 1 4 | 6 4 | 2 8 | 5 ---------------+----+----+-------+-------+------+-- x3o . . . . & | 3 | 3 | 27 * | 4 0 | 2 4 | 4 x . x . . . & | 4 | 4 | * 81 | 2 2 | 1 5 | 4 ---------------+----+----+-------+-------+------+-- x3o x . . . & ♦ 6 | 9 | 2 3 | 54 * | 1 2 | 3 x . x . x . ♦ 8 | 12 | 0 6 | * 27 | 0 3 | 3 ---------------+----+----+-------+-------+------+-- x3o x3o . . & ♦ 9 | 18 | 6 9 | 6 0 | 9 * | 2 x3o x . x . & ♦ 12 | 24 | 4 15 | 4 3 | * 27 | 2 ---------------+----+----+-------+-------+------+-- x3o x3o x . & ♦ 18 | 45 | 12 36 | 18 9 | 2 6 | 9
© 2004-2024 | top of page |