Acronym gappip
Name great-antiprism prism
Circumradius sqrt[7+2 sqrt(5)]/2 = 1.693527
Face vector 200, 1100, 1940, 1360, 322
Confer
general polytopal classes:
segmentotera  
External
links
polytopewiki  

Incidence matrix

gap || gap   → height = 1

  100   * |   2   4   4   1   0   0   0 |  1   6   3  12   2   4   4  0   0   0   0 |  2   8   4  1   6   3  12  0   0   0 | 1  2   8   4 0
    * 100 |   0   0   0   1   2   4   4 |  0   0   0   0   2   4   4  1   6   3  12 |  0   0   0  1   6   3  12  2   8   4 | 0  2   8   4 1
----------+-----------------------------+-------------------------------------------+--------------------------------------+---------------
    2   0 | 100   *   *   *   *   *   * |  1   2   1   0   1   0   0  0   0   0   0 |  2   2   0  1   2   1   0  0   0   0 | 1  2   2   0 0
    2   0 |   * 200   *   *   *   *   * |  0   2   0   2   0   1   0  0   0   0   0 |  1   2   1  0   2   0   2  0   0   0 | 1  1   2   1 0
    2   0 |   *   * 200   *   *   *   * |  0   0   1   4   0   0   1  0   0   0   0 |  0   3   2  0   0   1   4  0   0   0 | 1  0   3   2 0
    1   1 |   *   *   * 100   *   *   * |  0   0   0   0   2   4   4  0   0   0   0 |  0   0   0  1   6   3  12  0   0   0 | 0  2   8   4 0
    0   2 |   *   *   *   * 100   *   * |  0   0   0   0   1   0   0  1   2   1   0 |  0   0   0  1   2   1   0  2   2   0 | 0  2   2   0 1
    0   2 |   *   *   *   *   * 200   * |  0   0   0   0   0   1   0  0   2   0   2 |  0   0   0  0   2   0   2  1   2   1 | 0  1   2   1 1
    0   2 |   *   *   *   *   *   * 200 |  0   0   0   0   0   0   1  0   0   1   4 |  0   0   0  0   0   1   4  0   3   2 | 0  0   3   2 1
----------+-----------------------------+-------------------------------------------+--------------------------------------+---------------
    5   0 |   5   0   0   0   0   0   0 | 20   *   *   *   *   *   *  *   *   *   * |  2   0   0  1   0   0   0  0   0   0 | 1  2   0   0 0
    3   0 |   1   2   0   0   0   0   0 |  * 200   *   *   *   *   *  *   *   *   * |  1   1   0  0   1   0   0  0   0   0 | 1  1   1   0 0
    3   0 |   1   0   2   0   0   0   0 |  *   * 100   *   *   *   *  *   *   *   * |  0   2   0  0   0   1   0  0   0   0 | 1  0   2   0 0
    3   0 |   0   1   2   0   0   0   0 |  *   *   * 400   *   *   *  *   *   *   * |  0   1   1  0   0   0   1  0   0   0 | 1  0   1   1 0
    2   2 |   1   0   0   2   1   0   0 |  *   *   *   * 100   *   *  *   *   *   * |  0   0   0  1   2   1   0  0   0   0 | 0  2   2   0 0
    2   2 |   0   1   0   2   0   1   0 |  *   *   *   *   * 200   *  *   *   *   * |  0   0   0  0   2   0   2  0   0   0 | 0  1   2   1 0
    2   2 |   0   0   1   2   0   0   1 |  *   *   *   *   *   * 200  *   *   *   * |  0   0   0  0   0   1   4  0   0   0 | 0  0   3   2 0
    0   5 |   0   0   0   0   5   0   0 |  *   *   *   *   *   *   * 20   *   *   * |  0   0   0  1   0   0   0  2   0   0 | 0  2   0   0 1
    0   3 |   0   0   0   0   1   2   0 |  *   *   *   *   *   *   *  * 200   *   * |  0   0   0  0   1   0   0  1   1   0 | 0  1   1   0 1
    0   3 |   0   0   0   0   1   0   2 |  *   *   *   *   *   *   *  *   * 100   * |  0   0   0  0   0   1   0  0   2   0 | 0  0   2   0 1
    0   3 |   0   0   0   0   0   1   2 |  *   *   *   *   *   *   *  *   *   * 400 |  0   0   0  0   0   0   1  0   1   1 | 0  0   1   1 1
----------+-----------------------------+-------------------------------------------+--------------------------------------+---------------
  10   0 |  10  10   0   0   0   0   0 |  2  10   0   0   0   0   0  0   0   0   0 | 20   *   *  *   *   *   *  *   *   * | 1  1   0   0 0
   4   0 |   1   2   3   0   0   0   0 |  0   1   1   2   0   0   0  0   0   0   0 |  * 200   *  *   *   *   *  *   *   * | 1  0   1   0 0
   4   0 |   0   2   4   0   0   0   0 |  0   0   0   4   0   0   0  0   0   0   0 |  *   * 100  *   *   *   *  *   *   * | 1  0   0   1 0
   5   5 |   5   0   0   5   5   0   0 |  1   0   0   0   5   0   0  1   0   0   0 |  *   *   * 20   *   *   *  *   *   * | 0  2   0   0 0
   3   3 |   1   2   0   3   1   2   0 |  0   1   0   0   1   2   0  0   1   0   0 |  *   *   *  * 200   *   *  *   *   * | 0  1   1   0 0
   3   3 |   1   0   2   3   1   0   2 |  0   0   1   0   1   0   2  0   0   1   0 |  *   *   *  *   * 100   *  *   *   * | 0  0   2   0 0
   3   3 |   0   1   2   3   0   1   2 |  0   0   0   1   0   1   2  0   0   0   1 |  *   *   *  *   *   * 400  *   *   * | 0  0   1   1 0
   0  10 |   0   0   0   0  10  10   0 |  0   0   0   0   0   0   0  2  10   0   0 |  *   *   *  *   *   *   * 20   *   * | 0  1   0   0 1
   0   4 |   0   0   0   0   1   2   3 |  0   0   0   0   0   0   0  0   1   1   2 |  *   *   *  *   *   *   *  * 200   * | 0  0   1   0 1
   0   4 |   0   0   0   0   0   2   4 |  0   0   0   0   0   0   0  0   0   0   4 |  *   *   *  *   *   *   *  *   * 100 | 0  0   0   1 1
----------+-----------------------------+-------------------------------------------+--------------------------------------+---------------
 100   0 | 100 200 200   0   0   0   0 | 20 200 100 400   0   0   0  0   0   0   0 | 20 200 100  0   0   0   0  0   0   0 | 1  *   *   * *
  10  10 |  10  10   0  10  10  10   0 |  2  10   0   0  10  10   0  2  10   0   0 |  1   0   0  2  10   0   0  1   0   0 | * 20   *   * *
   4   4 |   1   2   3   4   1   2   3 |  0   1   1   2   1   2   3  0   1   1   2 |  0   1   0  0   1   1   2  0   1   0 | *  * 200   * *
   4   4 |   0   2   4   4   0   2   4 |  0   0   0   4   0   2   4  0   0   0   4 |  0   0   1  0   0   0   4  0   0   1 | *  *   * 100 *
   0 100 |   0   0   0   0 100 200 200 |  0   0   0   0   0   0   0 20 200 100 400 |  0   0   0  0   0   0   0 20 200 100 | *  *   *   * 1
or
  200 |   2   4   4   1 |  1   6   3  12   2   4   4 |  2   8   4  1   6   3  12 | 1  2   8   4
------+-----------------+----------------------------+---------------------------+-------------
    2 | 200   *   *   * |  1   2   1   0   1   0   0 |  2   2   0  1   2   1   0 | 1  2   2   0
    2 |   * 400   *   * |  0   2   0   2   0   1   0 |  1   2   1  0   2   0   2 | 1  1   2   1
    2 |   *   * 400   * |  0   0   1   4   0   0   1 |  0   3   2  0   0   1   4 | 1  0   3   2
    2 |   *   *   * 100 |  0   0   0   0   2   4   4 |  0   0   0  1   6   3  12 | 0  2   8   4
------+-----------------+----------------------------+---------------------------+-------------
    5 |   5   0   0   0 | 40   *   *   *   *   *   * |  2   0   0  1   0   0   0 | 1  2   0   0
    3 |   1   2   0   0 |  * 400   *   *   *   *   * |  1   1   0  0   1   0   0 | 1  1   1   0
    3 |   1   0   2   0 |  *   * 200   *   *   *   * |  0   2   0  0   0   1   0 | 1  0   2   0
    3 |   0   1   2   0 |  *   *   * 800   *   *   * |  0   1   1  0   0   0   1 | 1  0   1   1
    4 |   2   0   0   2 |  *   *   *   * 100   *   * |  0   0   0  1   2   1   0 | 0  2   2   0
    4 |   0   2   0   2 |  *   *   *   *   * 200   * |  0   0   0  0   2   0   2 | 0  1   2   1
    4 |   0   0   2   2 |  *   *   *   *   *   * 200 |  0   0   0  0   0   1   4 | 0  0   3   2
------+-----------------+----------------------------+---------------------------+-------------
  10 |  10  10   0   0 |  2  10   0   0   0   0   0 | 40   *   *  *   *   *   * | 1  1   0   0
   4 |   1   2   3   0 |  0   1   1   2   0   0   0 |  * 400   *  *   *   *   * | 1  0   1   0
   4 |   0   2   4   0 |  0   0   0   4   0   0   0 |  *   * 200  *   *   *   * | 1  0   0   1
  10 |  10   0   0   5 |  2   0   0   0   5   0   0 |  *   *   * 20   *   *   * | 0  2   0   0
   6 |   2   4   0   3 |  0   2   0   0   1   2   0 |  *   *   *  * 200   *   * | 0  1   1   0
   6 |   2   0   4   3 |  0   0   2   0   1   0   2 |  *   *   *  *   * 100   * | 0  0   2   0
   6 |   0   2   4   3 |  0   0   0   2   0   1   2 |  *   *   *  *   *   * 400 | 0  0   1   1
------+-----------------+----------------------------+---------------------------+-------------
 100 | 100 200 200   0 | 20 200 100 400   0   0   0 | 20 200 100  0   0   0   0 | 2  *   *   *
  20 |  20  20   0  10 |  4  20   0   0  10  10   0 |  2   0   0  2  10   0   0 | * 20   *   *
   8 |   2   4   6   4 |  0   2   2   4   1   2   3 |  0   2   0  0   1   1   2 | *  * 200   *
   8 |   0   4   8   4 |  0   0   0   8   0   2   4 |  0   0   2  0   0   0   4 | *  *   * 100

© 2004-2024
top of page