Acronym n,rap-dip
Name n-gon - rectified-pentachoron duoprism
Especially trarap (n=3)   squarap (n=4)  

Incidence matrix according to Dynkin symbol

xno o3x3o3o   (n>2)

. . . . . . | 10n |   2   6 |  1  12   3   6 |  6   6  12  3  2 |  3  6  6  4 1 | 3 2 2
------------+-----+---------+----------------+------------------+---------------+------
x . . . . . |   2 | 10n   * |  1   6   0   0 |  6   3   6  0  0 |  3  6  3  2 0 | 3 2 1
. . . x . . |   2 |   * 30n |  0   2   1   2 |  1   2   4  2  1 |  1  2  4  2 1 | 2 1 2
------------+-----+---------+----------------+------------------+---------------+------
xno . . . . |   n |   n   0 | 10   *   *   *   6   0   0  0  0 |  3  6  0  0 0 | 3 2 0
x . . x . . |   4 |   2   2 |  * 30n   *   * |  1   1   2  0  0 |  1  2  2  1 0 | 2 1 1
. . o3x . . |   3 |   0   3 |  *   * 10n   * |  0   2   0  2  0 |  1  0  4  0 1 | 2 0 2
. . . x3o . |   3 |   0   3 |  *   *   * 20n |  0   0   2  1  1 |  0  1  2  2 1 | 1 1 2
------------+-----+---------+----------------+------------------+---------------+------
xno . x . .   2n |  2n   n |  2   n   0   0 | 30   *   *  *  * |  1  2  0  0 0 | 2 1 0
x . o3x . .    6 |   3   6 |  0   3   2   0 |  * 10n   *  *  * |  1  0  2  0 0 | 2 0 1
x . . x3o .    6 |   3   6 |  0   3   0   2 |  *   * 20n  *  * |  0  1  1  1 0 | 1 1 1
. . o3x3o .    6 |   0  12 |  0   0   4   4 |  *   *   * 5n  * |  0  0  2  0 1 | 1 0 2
. . . x3o3o    4 |   0   6 |  0   0   0   4 |  *   *   *  * 5n |  0  0  0  2 1 | 0 1 2
------------+-----+---------+----------------+------------------+---------------+------
xno o3x . .   3n |  3n  3n |  3  3n   n   0 |  3   n   0  0  0 | 10  *  *  * * | 2 0 0
xno . x3o .   3n |  3n  3n |  3  3n   0   n |  3   0   n  0  0 |  * 20  *  * * | 1 1 0
x . o3x3o .   12 |   6  24 |  0  12   8   8 |  0   4   4  2  0 |  *  * 5n  * * | 1 0 1
x . . x3o3o    8 |   4  12 |  0   6   0   8 |  0   0   4  0  2 |  *  *  * 5n * | 0 1 1
. . o3x3o3o   10 |   0  30 |  0   0  10  20 |  0   0   0  5  5 |  *  *  *  * n | 0 0 2
------------+-----+---------+----------------+------------------+---------------+------
xno o3x3o .   6n |  6n 12n |  6 12n  4n  4n | 12  4n  4n  n  0 |  4  4  n  0 0 | 5 * *
xno . x3o3o   4n |  4n  6n |  4  6n   0  4n |  6   0  4n  0  n |  0  4  0  n 0 | * 5 *
x . o3x3o3o   20 |  10  60 |  0  30  20  40 |  0  10  20 10 10 |  0  0  5  5 2 | * * n

© 2004-2022
top of page