Acronym n,rit-dip
Name n-gon - rectified-tesseract duoprism
Face vector 32n, 128n, 184n+32, 112n+96, 25n+88, n+24
Especially trarit (n=3)   squarit (n=4)  
Confer
general polytopal classes:
Wythoffian polypeta  

Incidence matrix according to Dynkin symbol

xno o3o3x4o   (n>2)

. . . . . . | 32n |   2   6 |  1  12   6   3 |  6  12   6   2  3 |  6  3   4  6 1 |  2 3 2
------------+-----+---------+----------------+-------------------+----------------+-------
x . . . . . |   2 | 32n   * |  1   6   0   0 |  6   6   3   0  0 |  6  3   2  3 0 |  2 3 1
. . . . x . |   2 |   * 96n |  0   2   2   1 |  1   4   2   1  2 |  2  1   2  4 1 |  1 2 2
------------+-----+---------+----------------+-------------------+----------------+-------
xno . . . . |   n |   n   0 | 32   *   *   *   6   0   0   0  0 |  6  3   0  0 0 |  2 3 0
x . . . x . |   4 |   2   2 |  * 96n   *   * |  1   2   1   0  0 |  2  1   1  2 0 |  1 2 1
. . . o3x . |   3 |   0   3 |  *   * 64n   * |  0   2   0   1  1 |  1  0   2  2 1 |  1 1 2
. . . . x4o |   4 |   0   4 |  *   *   * 24n |  0   0   2   0  2 |  0  1   0  4 1 |  0 2 2
------------+-----+---------+----------------+-------------------+----------------+-------
xno . . x .   2n |  2n   n |  2   n   0   0 | 96   *   *   *  * |  2  1   0  0 0 |  1 2 0
x . . o3x .    6 |   3   6 |  0   3   2   0 |  * 64n   *   *  * |  1  0   1  1 0 |  1 1 1
x . . . x4o    8 |   4   8 |  0   4   0   2 |  *   * 24n   *  * |  0  1   0  2 0 |  0 2 1
. . o3o3x .    4 |   0   6 |  0   0   4   0 |  *   *   * 16n  * |  0  0   2  0 1 |  1 0 2
. . . o3x4o   12 |   0  24 |  0   0   8   6 |  *   *   *   * 8n |  0  0   0  2 1 |  0 1 2
------------+-----+---------+----------------+-------------------+----------------+-------
xno . o3x .   3n |  3n  3n |  3  3n   n   0 |  3   n   0   0  0 | 64  *   *  * * |  1 1 0
xno . . x4o   4n |  4n  4n |  4  4n   0   n |  4   0   n   0  0 |  * 24   *  * * |  0 2 0
x . o3o3x .    8 |   4  12 |  0   6   8   0 |  0   4   0   2  0 |  *  * 16n  * * |  1 0 1
x . . o3x4o   24 |  12  48 |  0  24  16  12 |  0   8   6   0  2 |  *  *   * 8n * |  0 1 1
. . o3o3x4o   32 |   0  96 |  0   0  64  24 |  0   0   0  16  8 |  *  *   *  * n |  0 0 2
------------+-----+---------+----------------+-------------------+----------------+-------
xno o3o3x .   4n |  4n  6n |  4  6n  4n   0 |  6  4n   0   n  0 |  4  0   n  0 0 | 16 * *
xno . o3x4o  12n | 12n 24n | 12 24n  8n  6n | 24  8n  6n   0  n |  8  6   0  n 0 |  * 8 *
x . o3o3x4o   64 |  32 192 |  0  96 128  48 |  0  64  24  32 16 |  0  0  16  8 2 |  * * n

© 2004-2024
top of page