Acronym tridep
Name triangle-icosidodecahedron duoprismatic prism
Circumradius sqrt[(25+6 sqrt(5))/12] = 1.789237
Confer n-id-dippip  

Incidence matrix according to Dynkin symbol

x x3o o3x5o

. . . . . . | 180 |  1   2   4 |  2   4  1   8   2  2 |  1   8  2  2   4   4  4 1 |  4  4  4 1  2  2 2 |  2  2 2 1
------------+-----+------------+----------------------+---------------------------+--------------------+----------
x . . . . . |   2 | 90   *   * |  2   4  0   0   0  0 |  1   8  2  2   0   0  0 0 |  4  4  4 1  0  0 0 |  2  2 2 0
. x . . . . |   2 |  * 180   * |  1   0  1   4   0  0 |  1   4  0  0   4   2  2 0 |  4  2  2 0  2  2 1 |  2  2 1 1
. . . . x . |   2 |  *   * 360 |  0   1  0   2   1  1 |  0   2  1  1   1   2  2 1 |  1  2  2 1  1  1 2 |  1  1 2 1
------------+-----+------------+----------------------+---------------------------+--------------------+----------
x x . . . . |   4 |  2   2   0 | 90   *  *   *   *  * |  1   4  0  0   0   0  0 0 |  4  2  2 0  0  0 0 |  2  2 1 0
x . . . x . |   4 |  2   0   2 |  * 180  *   *   *  * |  0   2  1  1   0   0  0 0 |  1  2  2 1  0  0 0 |  1  1 2 0
. x3o . . . |   3 |  0   3   0 |  *   * 60   *   *  * |  1   0  0  0   4   0  0 0 |  4  0  0 0  2  2 0 |  2  2 0 0
. x . . x . |   4 |  0   2   2 |  *   *  * 360   *  * |  0   1  0  0   1   1  1 0 |  1  1  1 0  1  1 1 |  1  1 1 1
. . . o3x . |   3 |  0   0   3 |  *   *  *   * 120  * |  0   0  1  0   0   2  0 1 |  0  2  0 1  1  0 2 |  1  0 2 1
. . . . x5o |   5 |  0   0   5 |  *   *  *   *   * 72 |  0   0  0  1   0   0  2 1 |  0  0  2 1  0  1 2 |  0  1 2 1
------------+-----+------------+----------------------+---------------------------+--------------------+----------
x x3o . . .    6 |  3   6   0 |  3   0  2   0   0  0 | 30   *  *  *   *   *  * * |  4  0  0 0  0  0 0 |  2  2 0 0
x x . . x .    8 |  4   4   4 |  2   2  0   2   0  0 |  * 180  *  *   *   *  * * |  1  1  1 0  0  0 0 |  1  1 1 0
x . . o3x .    6 |  3   0   6 |  0   3  0   0   2  0 |  *   * 60  *   *   *  * * |  0  2  0 1  0  0 0 |  1  0 2 0
x . . . x5o   10 |  5   0  10 |  0   5  0   0   0  2 |  *   *  * 36   *   *  * * |  0  0  2 1  0  0 0 |  0  1 2 0
. x3o . x .    6 |  0   6   3 |  0   0  2   3   0  0 |  *   *  *  * 120   *  * * |  1  0  0 0  1  1 0 |  1  1 0 1
. x . o3x .    6 |  0   3   6 |  0   0  0   3   2  0 |  *   *  *  *   * 120  * * |  0  1  0 0  1  0 1 |  1  0 1 1
. x . . x5o   10 |  0   5  10 |  0   0  0   5   0  2 |  *   *  *  *   *   * 72 * |  0  0  1 0  0  1 1 |  0  1 1 1
. . . o3x5o   30 |  0   0  60 |  0   0  0   0  20 12 |  *   *  *  *   *   *  * 6 |  0  0  0 1  0  0 2 |  0  0 2 1
------------+-----+------------+----------------------+---------------------------+--------------------+----------
x x3o . x .   12 |  6  12   6 |  6   3  4   6   0  0 |  2   3  0  0   2   0  0 0 | 60  *  * *  *  * * |  1  1 0 0
x x . o3x .   12 |  6   6  12 |  3   6  0   6   4  0 |  0   3  2  0   0   2  0 0 |  * 60  * *  *  * * |  1  0 1 0
x x . . x5o   20 | 10  10  20 |  5  10  0  10   0  4 |  0   5  0  2   0   0  2 0 |  *  * 36 *  *  * * |  0  1 1 0
x . . o3x5o   60 | 30   0 120 |  0  60  0   0  40 24 |  0   0 20 12   0   0  0 2 |  *  *  * 3  *  * * |  0  0 2 0
. x3o o3x .    9 |  0   9   9 |  0   0  3   9   3  0 |  0   0  0  0   3   3  0 0 |  *  *  * * 40  * * |  1  0 0 1
. x3o . x5o   15 |  0  15  15 |  0   0  5  15   0  3 |  0   0  0  0   5   0  3 0 |  *  *  * *  * 24 * |  0  1 0 1
. x . o3x5o   60 |  0  30 120 |  0   0  0  60  40 24 |  0   0  0  0   0  20 12 2 |  *  *  * *  *  * 6 |  0  0 1 1
------------+-----+------------+----------------------+---------------------------+--------------------+----------
x x3o o3x .   18 |  9  18  18 |  9   9  6  18   6  0 |  3   9  3  0   6   6  0 0 |  3  3  0 0  2  0 0 | 20  * * *
x x3o . x5o   30 | 15  30  30 | 15  15 10  30   0  6 |  5  15  0  3  10   0  6 0 |  5  0  3 0  0  2 0 |  * 12 * *
x x . o3x5o  120 | 60  60 240 | 30 120  0 120  80 48 |  0  60 40 24   0  40 24 4 |  0 20 12 2  0  0 2 |  *  * 3 *
. x3o o3x5o   90 |  0  90 180 |  0   0 30 180  60 36 |  0   0  0  0  60  60 36 3 |  0  0  0 0 20 12 3 |  *  * * 2

© 2004-2019
top of page