Movatterモバイル変換

It either can be thought of as a degenerate 5Dsegmentotope with zero height,or as a 4D euclideandecomposition of the larger base into smaller bits.

As abstract polytope rigfix || quipdohi is isomorphic topadohi || rofix, thereby interchanging the roles of pentagrams and pentagons,resp. replacingpip bystip,gike byike,and interchanging the roles ofsissid andgad, ofpeppy andstappy, resp. replacingrigfix byrofix,pippy bystippy,gikagid byikaid,andquipdohi bypadohi.

Incidence matrix according toDynkin symbol

ox5oo5/2xo3ox&#x   → height = 0(rigfix||quipdohi)o.5o.5/2o.3o.    | 720    * |   10   10    0    0 |   10    5   10   20    5    0    0    0 |   2   5    2   10    5   10   10   0   0    0   0 | 1   2   1    5   5 0.o5.o5/2.o3.o    |   * 1440 |    0    5    5    5 |    0    0   10    5    5    5   10    5 |   0   0    5    5   10    1    5   1   5    5   1 | 0   1   5    5   1 1-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------.. ..   x. ..    |   2    0 | 3600    *    *    * |    2    1    0    2    0    0    0    0 |   1   2    0    1    0    2    2   0   0    0   0 | 1   1   0    1   2 0oo5oo5/2oo3oo&#x |   1    1 |    * 7200    *    * |    0    0    2    2    1    0    0    0 |   0   0    1    2    2    1    2   0   0    0   0 | 0   1   1    2   1 0.x ..   .. ..    |   0    2 |    *    * 3600    * |    0    0    2    0    0    2    2    0 |   0   0    2    1    2    0    0   1   2    1   0 | 0   1   2    1   0 1.. ..   .. .x    |   0    2 |    *    *    * 3600 |    0    0    0    0    1    0    2    2 |   0   0    0    0    2    0    2   0   1    2   1 | 0   0   1    2   1 1-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------.. o.5/2x. ..    |   5    0 |    5    0    0    0 | 1440    *    *    *    *    *    *    * |   1   1    0    0    0    1    0   0   0    0   0 | 1   1   0    0   1 0.. ..   x.3o.    |   3    0 |    3    0    0    0 |    * 1200    *    *    *    *    *    * |   0   2    0    0    0    0    2   0   0    0   0 | 1   0   0    1   2 0ox ..   .. ..&#x |   1    2 |    0    2    1    0 |    *    * 7200    *    *    *    *    * |   0   0    1    1    1    0    0   0   0    0   0 | 0   1   1    1   0 0.. ..   xo ..&#x |   2    1 |    1    2    0    0 |    *    *    * 7200    *    *    *    * |   0   0    0    1    0    1    1   0   0    0   0 | 0   1   0    1   1 0.. ..   .. ox&#x |   1    2 |    0    2    0    1 |    *    *    *    * 3600    *    *    * |   0   0    0    0    2    0    2   0   0    0   0 | 0   0   1    2   1 0.x5.o   .. ..    |   0    5 |    0    0    5    0 |    *    *    *    *    * 1440    *    * |   0   0    1    0    0    0    0   1   1    0   0 | 0   1   1    0   0 1.x ..   .. .x    |   0    4 |    0    0    2    2 |    *    *    *    *    *    * 3600    * |   0   0    0    0    1    0    0   0   1    1   0 | 0   0   1    1   0 1.. ..   .o3.x    |   0    3 |    0    0    0    3 |    *    *    *    *    *    *    * 2400 |   0   0    0    0    0    0    1   0   0    1   1 | 0   0   0    1   1 1-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------o.5o.5/2x. ..♦  12    0 |   30    0    0    0 |   12    0    0    0    0    0    0    0 | 120   *    *    *    *    *    *   *   *    *   * | 1   1   0    0   0 0.. o.5/2x.3o.♦  30    0 |   60    0    0    0 |   12   20    0    0    0    0    0    0 |   * 120    *    *    *    *    *   *   *    *   * | 1   0   0    0   1 0ox5oo   .. ..&#x♦   1    5 |    0    5    5    0 |    0    0    5    0    0    1    0    0 |   *   * 1440    *    *    *    *   *   *    *   * | 0   1   1    0   0 0ox ..   xo ..&#x♦   2    2 |    1    4    1    0 |    0    0    2    2    0    0    0    0 |   *   *    * 3600    *    *    *   *   *    *   * | 0   1   0    1   0 0ox ..   .. ox&#x♦   1    4 |    0    4    2    2 |    0    0    2    0    2    0    1    0 |   *   *    *    * 3600    *    *   *   *    *   * | 0   0   1    1   0 0.. oo5/2xo ..&#x♦   5    1 |    5    5    0    0 |    1    0    0    5    0    0    0    0 |   *   *    *    *    * 1440    *   *   *    *   * | 0   1   0    0   1 0.. ..   xo3ox&#x♦   3    3 |    3    6    0    3 |    0    1    0    3    3    0    0    1 |   *   *    *    *    *    * 2400   *   *    *   * | 0   0   0    1   1 0.x5.o5/2.o ..♦   0   12 |    0    0   30    0 |    0    0    0    0    0   12    0    0 |   *   *    *    *    *    *    * 120   *    *   * | 0   1   0    0   0 1.x5.o   .. .x♦   0   10 |    0    0   10    5 |    0    0    0    0    0    2    5    0 |   *   *    *    *    *    *    *   * 720    *   * | 0   0   1    0   0 1.x ..   .o3.x♦   0    6 |    0    0    3    6 |    0    0    0    0    0    0    3    2 |   *   *    *    *    *    *    *   *   * 1200   * | 0   0   0    1   0 1.. .o5/2.o3.x♦   0   12 |    0    0    0   30 |    0    0    0    0    0    0    0   20 |   *   *    *    *    *    *    *   *   *    * 120 | 0   0   0    0   1 1-----------------+----------+---------------------+-----------------------------------------+---------------------------------------------------+---------------------o.5o.5/2x.3o.♦ 720    0 | 3600    0    0    0 | 1440 1200    0    0    0    0    0    0 | 120 120    0    0    0    0    0   0   0    0   0 |1   *   *    *   * *ox5oo5/2xo ..&#x♦  12   12 |   30   60   30    0 |   12    0   60   60    0   12    0    0 |   1   0   12   30    0   12    0   1   0    0   0 | * 120   *    *   * *ox5oo   .. ox&#x♦   1   10 |    0   10   10    5 |    0    0   10    0    5    2    5    0 |   0   0    2    0    5    0    0   0   1    0   0 | *   * 720    *   * *ox ..   xo3ox&#x♦   3    6 |    3   12    3    6 |    0    1    6    6    6    0    3    2 |   0   0    0    3    3    0    2   0   0    1   0 | *   *   * 1200   * *.. oo5/2xo3ox&#x♦  30   12 |   60   60    0   30 |   12   20    0   60   30    0    0   20 |   0   1    0    0    0   12   20   0   0    0   1 | *   *   *    * 120 *.x5.o5/2.o3.x♦   0 1440 |    0    0 3600 3600 |    0    0    0    0    0 1440 3600 2400 |   0   0    0    0    0    0    0 120 720 1200 120 | *   *   *    *   *1