Acronym bapril
Name biprismatorhombated heptapeton,
biruncitruncated heptapeton
Circumradius sqrt(34/7) = 2.203893
Face vector 630, 2520, 3570, 2310, 714, 84
Confer
general polytopal classes:
Wythoffian polypeta   lace simplices  
External
links
wikipedia   polytopewiki  

Incidence matrix according to Dynkin symbol

o3x3x3o3x3o

. . . . . . | 630 |   2   2    4 |   1   4    8   1   4   2   2 |   2   4   2   4   2   2   2   2   1 |  1   4   2   2  4   4   2  1 | 2  2  1 2
------------+-----+--------------+------------------------------+-------------------------------------+------------------------------+----------
. x . . . . |   2 | 630   *    * |   1   2    4   0   0   0   0 |   2   4   1   4   2   2   0   0   0 |  1   4   2   2  2   2   1  0 | 2  2  1 1
. . x . . . |   2 |   * 630    * |   0   2    0   1   2   0   0 |   1   0   2   4   0   0   2   1   0 |  1   2   0   0  4   2   0  1 | 2  1  0 2
. . . . x . |   2 |   *   * 1260 |   0   0    2   0   1   1   1 |   0   1   0   2   2   2   1   1   1 |  0   1   1   1  2   2   2  1 | 1  1  1 2
------------+-----+--------------+------------------------------+-------------------------------------+------------------------------+----------
o3x . . . . |   3 |   3   0    0 | 210   *    *   *   *   *   * |   2   4   0   0   0   0   0   0   0 |  1   4   2   2  0   0   0  0 | 2  2  1 0
. x3x . . . |   6 |   3   3    0 |   * 420    *   *   *   *   * |   1   0   1   2   0   0   0   0   0 |  1   2   0   0  2   1   0  0 | 2  1  0 1
. x . . x . |   4 |   2   0    2 |   *   * 1260   *   *   *   * |   0   1   0   1   1   1   0   0   0 |  0   1   1   1  1   1   1  0 | 1  1  1 1
. . x3o . . |   3 |   0   3    0 |   *   *    * 210   *   *   * |   0   0   2   0   0   0   2   0   0 |  1   0   0   0  4   0   0  1 | 2  0  0 2
. . x . x . |   4 |   0   2    2 |   *   *    *   * 630   *   * |   0   0   0   2   0   0   1   1   0 |  0   1   0   0  2   2   0  1 | 1  1  0 2
. . . o3x . |   3 |   0   0    3 |   *   *    *   *   * 420   * |   0   0   0   0   2   0   1   0   1 |  0   0   1   0  2   0   2  1 | 1  0  1 2
. . . . x3o |   3 |   0   0    3 |   *   *    *   *   *   * 420 |   0   0   0   0   0   2   0   1   1 |  0   0   0   1  0   2   2  1 | 0  1  1 2
------------+-----+--------------+------------------------------+-------------------------------------+------------------------------+----------
o3x3x . . .   12 |  12   6    0 |   4   4    0   0   0   0   0 | 105   *   *   *   *   *   *   *   * |  1   2   0   0  0   0   0  0 | 2  1  0 0
o3x . . x .    6 |   6   0    3 |   2   0    3   0   0   0   0 |   * 420   *   *   *   *   *   *   * |  0   1   1   1  0   0   0  0 | 1  1  1 0
. x3x3o . .   12 |   6  12    0 |   0   4    0   4   0   0   0 |   *   * 105   *   *   *   *   *   * |  1   0   0   0  2   0   0  0 | 2  0  0 1
. x3x . x .   12 |   6   6    6 |   0   2    3   0   3   0   0 |   *   *   * 420   *   *   *   *   * |  0   1   0   0  1   1   0  0 | 1  1  0 1
. x . o3x .    6 |   3   0    6 |   0   0    3   0   0   2   0 |   *   *   *   * 420   *   *   *   * |  0   0   1   0  1   0   1  0 | 1  0  1 1
. x . . x3o    6 |   3   0    6 |   0   0    3   0   0   0   2 |   *   *   *   *   * 420   *   *   * |  0   0   0   1  0   1   1  0 | 0  1  1 1
. . x3o3x .   12 |   0  12   12 |   0   0    0   4   6   4   0 |   *   *   *   *   *   * 105   *   * |  0   0   0   0  2   0   0  1 | 1  0  0 2
. . x . x3o    6 |   0   3    6 |   0   0    0   0   3   0   2 |   *   *   *   *   *   *   * 210   * |  0   0   0   0  0   2   0  1 | 0  1  0 2
. . . o3x3o    6 |   0   0   12 |   0   0    0   0   0   4   4 |   *   *   *   *   *   *   *   * 105 |  0   0   0   0  0   0   2  1 | 0  0  1 2
------------+-----+--------------+------------------------------+-------------------------------------+------------------------------+----------
o3x3x3o . .   30 |  30  30    0 |  10  20    0  10   0   0   0 |   5   0   5   0   0   0   0   0   0 | 21   *   *   *  *   *   *  * | 2  0  0 0
o3x3x . x .   24 |  24  12   12 |   8   8   12   0   6   0   0 |   2   4   0   4   0   0   0   0   0 |  * 105   *   *  *   *   *  * | 1  1  0 0
o3x . o3x .    9 |   9   0    9 |   3   0    9   0   0   3   0 |   0   3   0   0   3   0   0   0   0 |  *   * 140   *  *   *   *  * | 1  0  1 0
o3x . . x3o    9 |   9   0    9 |   3   0    9   0   0   0   3 |   0   3   0   0   0   3   0   0   0 |  *   *   * 140  *   *   *  * | 0  1  1 0
. x3x3o3x .   60 |  30  60   60 |   0  20   30  20  30  20   0 |   0   0   5  10  10   0   5   0   0 |  *   *   *   * 42   *   *  * | 1  0  0 1
. x3x . x3o   18 |   9   9   18 |   0   3    9   0   9   0   6 |   0   0   0   3   0   3   0   3   0 |  *   *   *   *  * 140   *  * | 0  1  0 1
. x . o3x3o   12 |   6   0   24 |   0   0   12   0   0   8   8 |   0   0   0   0   4   4   0   0   2 |  *   *   *   *  *   * 105  * | 0  0  1 1
. . x3o3x3o   30 |   0  30   60 |   0   0    0  10  30  20  20 |   0   0   0   0   0   0   5  10   5 |  *   *   *   *  *   *   * 21 | 0  0  0 2
------------+-----+--------------+------------------------------+-------------------------------------+------------------------------+----------
o3x3x3o3x .  180 | 180 180  180 |  60 120  180  60  90  60   0 |  30  60  30  60  60   0  15   0   0 |  6  15  20   0  6   0   0  0 | 7  *  * *
o3x3x . x3o   36 |  36  18   36 |  12  12   36   0  18   0  12 |   3  12   0  12   0  12   0   6   0 |  0   3   0   4  0   4   0  0 | * 35  * *
o3x . o3x3o   18 |  18   0   36 |   6   0   36   0   0  12  12 |   0  12   0   0  12  12   0   0   3 |  0   0   4   4  0   0   3  0 | *  * 35 *
. x3x3o3x3o  180 |  90 180  360 |   0  60  180  60 180 120 120 |   0   0  15  60  60  60  30  60  30 |  0   0   0   0  6  20  15  6 | *  *  * 7

© 2004-2024
top of page