Movatterモバイル変換


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Acronymsripaf
Namesmall rhombated pentachoron antifastegium,
small rhombated pentachoron atop invertedsmall-rhombated-pentachoral-prism
Circumradiussqrt(5/3) = 1.290994
Lace city
in approx. ASCII-art
  s  S   Swhere:s = x3o3x3o (srip)S = o3x3o3x (inv.srip)
Face vector90, 540, 930, 680, 233, 33
Confer
general polytopal classes:
antifastegia  segmentopeta  lace simplices  

Incidence matrix according toDynkin symbol

ox ox3xo3ox3xo&#x   → height = sqrt(3/20) = 0.387298(srip|| inv.srippip)o. o.3o.3o.3o.    | 30  * |  4  2   8  0  0   0 |  2  2  4  1   4   4   8   4   8  0  0  0  0  0  0 | 1  2 2  2  4  2  4  4  2  4  4  8  4  0  0  0  0  0  0  0 | 1  2  1  2  2  4  2  2  4  2  4 0  0 0 0 | 1  2  1 2 2 0.o .o3.o3.o3.o    |  * 60 |  0  0   4  1  2   4 |  0  0  0  0   4   4   2   4   2  2  4  1  4  2  2 | 0  0 0  4  2  4  2  2  4  2  2  1  2  1  4  2  2  2  2  1 | 0  2  4  2  2  1  2  2  1  2  1 2  2 1 1 | 2  1  2 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. .. x. .. ..    |  2  0 | 60  *   *  *  *   * |  1  1  1  0   0   0   2   0   0  0  0  0  0  0  0 | 1  1 1  0  1  0  0  2  0  0  2  2  0  0  0  0  0  0  0  0 | 1  1  0  0  1  1  0  2  2  0  2 0  0 0 0 | 1  1  0 1 2 0.. .. .. .. x.    |  2  0 |  * 30   *  *  *   * |  0  0  2  1   0   0   0   0   4  0  0  0  0  0  0 | 0  1 2  0  0  0  2  0  0  2  0  4  4  0  0  0  0  0  0  0 | 1  0  0  1  0  2  2  0  2  2  4 0  0 0 0 | 0  1  1 2 2 0oo oo3oo3oo3oo&#x |  1  1 |  *  * 240  *  *   * |  0  0  0  0   1   1   1   1   1  0  0  0  0  0  0 | 0  0 0  1  1  1  1  1  1  1  1  1  1  0  0  0  0  0  0  0 | 0  1  1  1  1  1  1  1  1  1  1 0  0 0 0 | 1  1  1 1 1 0.x .. .. .. ..    |  0  2 |  *  *   * 30  *   * |  0  0  0  0   4   0   0   0   0  2  4  0  0  0  0 | 0  0 0  4  2  4  2  0  0  0  0  0  0  1  4  2  2  0  0  0 | 0  2  4  2  2  1  2  0  0  0  0 2  2 1 0 | 2  1  2 1 0 1.. .x .. .. ..    |  0  2 |  *  *   *  * 60   * |  0  0  0  0   0   2   0   0   0  1  0  1  2  0  0 | 0  0 0  2  0  0  0  2  2  1  0  0  0  1  2  0  0  2  1  0 | 0  2  2  1  0  0  0  2  1  1  0 2  1 0 1 | 2  1  1 0 1 1.. .. .. .x ..    |  0  2 |  *  *   *  *  * 120 |  0  0  0  0   0   0   0   1   0  0  1  0  1  1  1 | 0  0 0  0  0  1  0  0  1  0  1  0  1  0  1  1  1  1  1  1 | 0  0  1  0  1  0  1  1  0  1  1 1  1 1 1 | 1  0  1 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. o.3x. .. ..    |  3  0 |  3  0   0  0  0   0 | 20  *  *  *   *   *   *   *   *  *  *  *  *  *  * | 1  1 0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  0  0  0 | 1  1  0  0  0  0  0  2  2  0  0 0  0 0 0 | 1  1  0 0 2 0.. .. x.3o. ..    |  3  0 |  3  0   0  0  0   0 |  * 20  *  *   *   *   *   *   *  *  *  *  *  *  * | 1  0 1  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0 | 1  0  0  0  1  0  0  2  0  0  2 0  0 0 0 | 1  0  0 1 2 0.. .. x. .. x.    |  4  0 |  2  2   0  0  0   0 |  *  * 30  *   *   *   *   *   *  *  *  *  *  *  * | 0  1 1  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0 | 1  0  0  0  0  1  0  0  2  0  2 0  0 0 0 | 0  1  0 1 2 0.. .. .. o.3x.    |  3  0 |  0  3   0  0  0   0 |  *  *  * 10   *   *   *   *   *  *  *  *  *  *  * | 0  0 2  0  0  0  0  0  0  0  0  0  4  0  0  0  0  0  0  0 | 1  0  0  0  0  0  2  0  0  2  4 0  0 0 0 | 0  0  1 2 2 0ox .. .. .. ..&#x |  1  2 |  0  0   2  1  0   0 |  *  *  *  * 120   *   *   *   *  *  *  *  *  *  * | 0  0 0  1  1  1  1  0  0  0  0  0  0  0  0  0  0  0  0  0 | 0  1  1  1  1  1  1  0  0  0  0 0  0 0 0 | 1  1  1 1 0 0.. ox .. .. ..&#x |  1  2 |  0  0   2  0  1   0 |  *  *  *  *   * 120   *   *   *  *  *  *  *  *  * | 0  0 0  1  0  0  0  1  1  1  0  0  0  0  0  0  0  0  0  0 | 0  1  1  1  0  0  0  1  1  1  0 0  0 0 0 | 1  1  1 0 1 0.. .. xo .. ..&#x |  2  1 |  1  0   2  0  0   0 |  *  *  *  *   *   * 120   *   *  *  *  *  *  *  * | 0  0 0  0  1  0  0  1  0  0  1  1  0  0  0  0  0  0  0  0 | 0  1  0  0  1  1  0  1  1  0  1 0  0 0 0 | 1  1  0 1 1 0.. .. .. ox ..&#x |  1  2 |  0  0   2  0  0   1 |  *  *  *  *   *   *   * 120   *  *  *  *  *  *  * | 0  0 0  0  0  1  0  0  1  0  1  0  1  0  0  0  0  0  0  0 | 0  0  1  0  1  0  1  1  0  1  1 0  0 0 0 | 1  0  1 1 1 0.. .. .. .. xo&#x |  2  1 |  0  1   2  0  0   0 |  *  *  *  *   *   *   *   * 120  *  *  *  *  *  * | 0  0 0  0  0  0  1  0  0  1  0  1  1  0  0  0  0  0  0  0 | 0  0  0  1  0  1  1  0  1  1  1 0  0 0 0 | 0  1  1 1 1 0.x .x .. .. ..    |  0  4 |  0  0   0  2  2   0 |  *  *  *  *   *   *   *   *   * 30  *  *  *  *  * | 0  0 0  2  0  0  0  0  0  0  0  0  0  1  2  0  0  0  0  0 | 0  2  2  1  0  0  0  0  0  0  0 2  1 0 0 | 2  1  1 0 0 1.x .. .. .x ..    |  0  4 |  0  0   0  2  0   2 |  *  *  *  *   *   *   *   *   *  * 60  *  *  *  * | 0  0 0  0  0  1  0  0  0  0  0  0  0  0  1  1  1  0  0  0 | 0  0  1  0  1  0  1  0  0  0  0 1  1 1 0 | 1  0  1 1 0 1.. .x3.o .. ..    |  0  3 |  0  0   0  0  3   0 |  *  *  *  *   *   *   *   *   *  *  * 20  *  *  * | 0  0 0  0  0  0  0  2  0  0  0  0  0  1  0  0  0  2  0  0 | 0  2  0  0  0  0  0  2  1  0  0 2  0 0 1 | 2  1  0 0 1 1.. .x .. .x ..    |  0  4 |  0  0   0  0  2   2 |  *  *  *  *   *   *   *   *   *  *  *  * 60  *  * | 0  0 0  0  0  0  0  0  1  0  0  0  0  0  1  0  0  1  1  0 | 0  0  1  0  0  0  0  1  0  1  0 1  1 0 1 | 1  0  1 0 1 1.. .. .o3.x ..    |  0  3 |  0  0   0  0  0   3 |  *  *  *  *   *   *   *   *   *  *  *  *  * 40  * | 0  0 0  0  0  0  0  0  0  0  1  0  0  0  0  1  0  1  0  1 | 0  0  0  0  1  0  0  1  0  0  1 1  0 1 1 | 1  0  0 1 1 1.. .. .. .x3.o    |  0  3 |  0  0   0  0  0   3 |  *  *  *  *   *   *   *   *   *  *  *  *  *  * 40 | 0  0 0  0  0  0  0  0  0  0  0  0  1  0  0  0  1  0  1  1 | 0  0  0  0  0  0  1  0  0  1  1 0  1 1 1 | 0  0  1 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. o.3x.3o. ..  6  0 | 12  0   0  0  0   0 |  4  4  0  0   0   0   0   0   0  0  0  0  0  0  0 | 5  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  0  2  0  0  0 0  0 0 0 | 1  0  0 0 2 0.. o.3x. .. x.  6  0 |  6  3   0  0  0   0 |  2  0  3  0   0   0   0   0   0  0  0  0  0  0  0 | * 10 *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  0  0  2  0  0 0  0 0 0 | 0  1  0 0 2 0.. .. x.3o.3x. 12  0 | 12 12   0  0  0   0 |  0  4  6  4   0   0   0   0   0  0  0  0  0  0  0 | *  * 5  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 1  0  0  0  0  0  0  0  0  0  2 0  0 0 0 | 0  0  0 1 2 0ox ox .. .. ..&#x  1  4 |  0  0   4  2  2   0 |  0  0  0  0   2   2   0   0   0  1  0  0  0  0  0 | *  * * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  1  1  0  0  0  0  0  0  0 0  0 0 0 | 1  1  1 0 0 0ox .. xo .. ..&#x  2  2 |  1  0   4  1  0   0 |  0  0  0  0   2   0   2   0   0  0  0  0  0  0  0 | *  * *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0  0  1  1  0  0  0  0  0 0  0 0 0 | 1  1  0 1 0 0ox .. .. ox ..&#x  1  4 |  0  0   4  2  0   2 |  0  0  0  0   2   0   0   2   0  0  1  0  0  0  0 | *  * *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  1  0  1  0  0  0  0 0  0 0 0 | 1  0  1 1 0 0ox .. .. .. xo&#x  2  2 |  0  1   4  1  0   0 |  0  0  0  0   2   0   0   0   2  0  0  0  0  0  0 | *  * *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  0  1  1  0  0  0  0 0  0 0 0 | 0  1  1 1 0 0.. ox3xo .. ..&#x  3  3 |  3  0   6  0  3   0 |  1  0  0  0   0   3   3   0   0  0  0  1  0  0  0 | *  * *  *  *  *  * 40  *  *  *  *  *  *  *  *  *  *  *  * | 0  1  0  0  0  0  0  1  1  0  0 0  0 0 0 | 1  1  0 0 1 0.. ox .. ox ..&#x  1  4 |  0  0   4  0  2   2 |  0  0  0  0   0   2   0   2   0  0  0  0  1  0  0 | *  * *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  *  * | 0  0  1  0  0  0  0  1  0  1  0 0  0 0 0 | 1  0  1 0 1 0.. ox .. .. xo&#x  2  2 |  0  1   4  0  1   0 |  0  0  0  0   0   2   0   0   2  0  0  0  0  0  0 | *  * *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  *  *  * | 0  0  0  1  0  0  0  0  1  1  0 0  0 0 0 | 0  1  1 0 1 0.. .. xo3ox ..&#x  3  3 |  3  0   6  0  0   3 |  0  1  0  0   0   0   3   3   0  0  0  0  0  1  0 | *  * *  *  *  *  *  *  *  * 40  *  *  *  *  *  *  *  *  * | 0  0  0  0  1  0  0  1  0  0  1 0  0 0 0 | 1  0  0 1 1 0.. .. xo .. xo&#x  4  1 |  2  2   4  0  0   0 |  0  0  1  0   0   0   2   0   2  0  0  0  0  0  0 | *  * *  *  *  *  *  *  *  *  * 60  *  *  *  *  *  *  *  * | 0  0  0  0  0  1  0  0  1  0  1 0  0 0 0 | 0  1  0 1 1 0.. .. .. ox3xo&#x  3  3 |  0  3   6  0  0   3 |  0  0  0  1   0   0   0   3   3  0  0  0  0  0  1 | *  * *  *  *  *  *  *  *  *  *  * 40  *  *  *  *  *  *  * | 0  0  0  0  0  0  1  0  0  1  1 0  0 0 0 | 0  0  1 1 1 0.x .x3.o .. ..  0  6 |  0  0   0  3  6   0 |  0  0  0  0   0   0   0   0   0  3  0  2  0  0  0 | *  * *  *  *  *  *  *  *  *  *  *  * 10  *  *  *  *  *  * | 0  2  0  0  0  0  0  0  0  0  0 2  0 0 0 | 2  1  0 0 0 1.x .x .. .x ..  0  8 |  0  0   0  4  4   4 |  0  0  0  0   0   0   0   0   0  2  2  0  2  0  0 | *  * *  *  *  *  *  *  *  *  *  *  *  * 30  *  *  *  *  * | 0  0  1  0  0  0  0  0  0  0  0 1  1 0 0 | 1  0  1 0 0 1.x .. .o3.x ..  0  6 |  0  0   0  3  0   6 |  0  0  0  0   0   0   0   0   0  0  3  0  0  2  0 | *  * *  *  *  *  *  *  *  *  *  *  *  *  * 20  *  *  *  * | 0  0  0  0  1  0  0  0  0  0  0 1  0 1 0 | 1  0  0 1 0 1.x .. .. .x3.o  0  6 |  0  0   0  3  0   6 |  0  0  0  0   0   0   0   0   0  0  3  0  0  0  2 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  * 20  *  *  * | 0  0  0  0  0  0  1  0  0  0  0 0  1 1 0 | 0  0  1 1 0 1.. .x3.o3.x ..  0 12 |  0  0   0  0 12  12 |  0  0  0  0   0   0   0   0   0  0  0  4  6  4  0 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 10  *  * | 0  0  0  0  0  0  0  1  0  0  0 1  0 0 1 | 1  0  0 0 1 1.. .x .. .x3.o  0  6 |  0  0   0  0  3   6 |  0  0  0  0   0   0   0   0   0  0  0  0  3  0  2 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 20  * | 0  0  0  0  0  0  0  0  0  1  0 0  1 0 1 | 0  0  1 0 1 1.. .. .o3.x3.o  0  6 |  0  0   0  0  0  12 |  0  0  0  0   0   0   0   0   0  0  0  0  0  4  4 | *  * *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  *  * 10 | 0  0  0  0  0  0  0  0  0  0  1 0  0 1 1 | 0  0  0 1 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------.. o.3x.3o.3x. 30  0 | 60 30   0  0  0   0 | 20 20 30 10   0   0   0   0   0  0  0  0  0  0  0 | 5 10 5  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0 |1  *  *  *  *  *  *  *  *  *  * *  * * * | 0  0  0 0 2 0ox ox3xo .. ..&#x  3  6 |  3  0  12  3  6   0 |  1  0  0  0   6   6   6   0   0  3  0  2  0  0  0 | 0  0 0  3  3  0  0  2  0  0  0  0  0  1  0  0  0  0  0  0 | * 20  *  *  *  *  *  *  *  *  * *  * * * | 1  1  0 0 0 0ox ox .. ox ..&#x  1  8 |  0  0   8  4  4   4 |  0  0  0  0   4   4   0   4   0  2  2  0  2  0  0 | 0  0 0  2  0  2  0  0  2  0  0  0  0  0  1  0  0  0  0  0 | *  * 30  *  *  *  *  *  *  *  * *  * * * | 1  0  1 0 0 0ox ox .. .. xo&#x  2  4 |  0  1   8  2  2   0 |  0  0  0  0   4   4   0   0   4  1  0  0  0  0  0 | 0  0 0  2  0  0  2  0  0  2  0  0  0  0  0  0  0  0  0  0 | *  *  * 30  *  *  *  *  *  *  * *  * * * | 0  1  1 0 0 0ox .. xo3ox ..&#x  3  6 |  3  0  12  3  0   6 |  0  1  0  0   6   0   6   6   0  0  3  0  0  2  0 | 0  0 0  0  3  3  0  0  0  0  2  0  0  0  0  1  0  0  0  0 | *  *  *  * 20  *  *  *  *  *  * *  * * * | 1  0  0 1 0 0ox .. xo .. xo&#x  4  2 |  2  2   8  1  0   0 |  0  0  1  0   4   0   4   0   4  0  0  0  0  0  0 | 0  0 0  0  2  0  2  0  0  0  0  2  0  0  0  0  0  0  0  0 | *  *  *  *  * 30  *  *  *  *  * *  * * * | 0  1  0 1 0 0ox .. .. ox3xo&#x  3  6 |  0  3  12  3  0   6 |  0  0  0  1   6   0   0   6   6  0  3  0  0  0  2 | 0  0 0  0  0  3  3  0  0  0  0  0  2  0  0  0  1  0  0  0 | *  *  *  *  *  * 20  *  *  *  * *  * * * | 0  0  1 1 0 0.. ox3xo3ox ..&#x  6 12 | 12  0  24  0 12  12 |  4  4  0  0   0  12  12  12   0  0  0  4  6  4  0 | 1  0 0  0  0  0  0  4  6  0  4  0  0  0  0  0  0  1  0  0 | *  *  *  *  *  *  * 10  *  *  * *  * * * | 1  0  0 0 1 0.. ox3xo .. xo&#x  6  3 |  6  3  12  0  3   0 |  2  0  3  0   0   6   6   0   6  0  0  1  0  0  0 | 0  1 0  0  0  0  0  2  0  3  0  3  0  0  0  0  0  0  0  0 | *  *  *  *  *  *  *  * 20  *  * *  * * * | 0  1  0 0 1 0.. ox .. ox3xo&#x  3  6 |  0  3  12  0  3   6 |  0  0  0  1   0   6   0   6   6  0  0  0  3  0  2 | 0  0 0  0  0  0  0  0  3  3  0  0  2  0  0  0  0  0  1  0 | *  *  *  *  *  *  *  *  * 20  * *  * * * | 0  0  1 0 1 0.. .. xo3ox3xo&#x 12  6 | 12 12  24  0  0  12 |  0  4  6  4   0   0  12  12  12  0  0  0  0  4  4 | 0  0 1  0  0  0  0  0  0  0  4  6  4  0  0  0  0  0  0  1 | *  *  *  *  *  *  *  *  *  * 10 *  * * * | 0  0  0 1 1 0.x .x3.o3.x ..  0 24 |  0  0   0 12 24  24 |  0  0  0  0   0   0   0   0   0 12 12  8 12  8  0 | 0  0 0  0  0  0  0  0  0  0  0  0  0  4  6  4  0  2  0  0 | *  *  *  *  *  *  *  *  *  *  * 5  * * * | 1  0  0 0 0 1.x .x .. .x3.o  0 12 |  0  0   0  6  6  12 |  0  0  0  0   0   0   0   0   0  3  6  0  6  0  4 | 0  0 0  0  0  0  0  0  0  0  0  0  0  0  3  0  2  0  2  0 | *  *  *  *  *  *  *  *  *  *  * * 10 * * | 0  0  1 0 0 1.x .. .o3.x3.o  0 12 |  0  0   0  6  0  24 |  0  0  0  0   0   0   0   0   0  0 12  0  0  8  8 | 0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  4  4  0  0  2 | *  *  *  *  *  *  *  *  *  *  * *  * 5 * | 0  0  0 1 0 1.. .x3.o3.x3.o  0 30 |  0  0   0  0 30  60 |  0  0  0  0   0   0   0   0   0  0  0 10 30 20 20 | 0  0 0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  5 10  5 | *  *  *  *  *  *  *  *  *  *  * *  * * 2 | 0  0  0 0 1 1------------------+-------+---------------------+---------------------------------------------------+-----------------------------------------------------------+------------------------------------------+--------------ox ox3xo3ox ..&#x  6 24 | 12  0  48 12 24  24 |  4  4  0  0  24  24  24  24   0 12 12  8 12  8  0 | 1  0 0 12 12 12  0  8 12  0  8  0  0  4  6  4  0  2  0  0 | 0  4  6  0  4  0  0  2  0  0  0 1  0 0 0 | 5  *  * * * *ox ox3xo .. xo&#x  6  6 |  6  3  24  3  6   0 |  2  0  3  0  12  12  12   0  12  3  0  2  0  0  0 | 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