Acronym	sersa
Name	small rhombated hepteract, cantellated hepteract
Circumradius	sqrt[17+10 sqrt(2)]/2 = 2.790257
Inradius wrt. hixip	sqrt[(43+30 sqrt(2))/12] = 2.668121
Inradius wrt. ril	sqrt[(99+70 sqrt(2))/28 = 2.659182
Inradius wrt. srox	(1+sqrt(2))/2 = 1.207107
Dihedral angles (at margins)	at hix between hixip and ril:   arccos[-sqrt(6/7)] = 157.792346° at penp between hixip and srox:   arccos[-1/sqrt(6)] = 114.094843° at rix between ril and srox:   arccos[-1/sqrt(7)] = 112.207654° at sirn between srox and srox:   90°
Face vector	2688, 16128, 29792, 27440, 15064, 4564, 590
Confer	general polytopal classes: Wythoffian polyexa   analogs: rhombated hypercube rbCn
External links

As abstract polytope sersa is isomorphic to quersa, thereby replacing sirco by querco, srit by qrit, sirn by quarn, and srox by qrax.

Incidence matrix according to Dynkin symbol

o3o3o3o3x3o4x

o3o3o3o3o3o4o | 2688 |    10    2 |    20    5   10   1 |    20   10   20   5 |   10   10   20  10 |   2   5   10 10 |   1   2  5
--------------+------+------------+---------------------+---------------------+--------------------+-----------------+-----------
. . . . x . . |    2 | 13440    * |     4    1    1   0 |     6    4    4   1 |    4    6    6   4 |   1   4    4  6 |   1   1  4
. . . . . . x |    2 |     * 2688 |     0    0    5   1 |     0    0   10   5 |    0    0   10  10 |   0   0    5 10 |   0   1  5
--------------+------+------------+---------------------+---------------------+--------------------+-----------------+-----------
. . . o3x . . |    3 |     3    0 | 17920    *    *   * |     3    1    1   0 |    3    3    3   1 |   1   3    3  3 |   1   1  3
. . . . x3o . |    3 |     3    0 |     * 4480    *   * |     0    4    0   1 |    0    6    0   4 |   0   4    0  6 |   1   0  4
. . . . x . x |    4 |     2    2 |     *    * 6720   * |     0    0    4   1 |    0    0    6   4 |   0   0    4  6 |   0   1  4
. . . . . o4x |    4 |     0    4 |     *    *    * 672 |     0    0    0   5 |    0    0    0  10 |   0   0    0 10 |   0   0  5
--------------+------+------------+---------------------+---------------------+--------------------+-----------------+-----------
. . o3o3x . . ♦    4 |     6    0 |     4    0    0   0 | 13440    *    *   * |    2    1    1   0 |   1   2    2  1 |   1   1  2
. . . o3x3o . ♦    6 |    12    0 |     4    4    0   0 |     * 4480    *   * |    0    3    0   1 |   0   3    0  3 |   1   0  3
. . . o3x . x ♦    6 |     6    3 |     2    0    3   0 |     *    * 8960   * |    0    0    3   1 |   0   0    3  3 |   0   1  3
. . . . x3o4x ♦   24 |    24   24 |     0    8   12   6 |     *    *    * 560 |    0    0    0   4 |   0   0    0  6 |   0   0  4
--------------+------+------------+---------------------+---------------------+--------------------+-----------------+-----------
. o3o3o3x . . ♦    5 |    10    0 |    10    0    0   0 |     5    0    0   0 | 5376    *    *   * |   1   1    1  0 |   1   1  1
. . o3o3x3o . ♦   10 |    30    0 |    20   10    0   0 |     5    5    0   0 |    * 2688    *   * |   0   2    0  1 |   1   0  2
. . o3o3x . x ♦    8 |    12    4 |     8    0    6   0 |     2    0    4   0 |    *    * 6720   * |   0   0    2  1 |   0   1  2
. . . o3x3o4x ♦   96 |   192   96 |    64   64   96  24 |     0   16   32   8 |    *    *    * 280 |   0   0    0  3 |   0   0  3
--------------+------+------------+---------------------+---------------------+--------------------+-----------------+-----------
o3o3o3o3x . . ♦    6 |    15    0 |    20    0    0   0 |    15    0    0   0 |    6    0    0   0 | 896   *    *  * |   1   1  0
. o3o3o3x3o . ♦   15 |    60    0 |    60   20    0   0 |    30   15    0   0 |    6    6    0   0 |   * 896    *  * |   1   0  1
. o3o3o3x . x ♦   10 |    20    5 |    20    0   10   0 |    10    0   10   0 |    2    0    5   0 |   *   * 2688  * |   0   1  1
. . o3o3x3o4x ♦  320 |   960  320 |   640  320  480  80 |   160  160  320  40 |    0   32   80  10 |   *   *    * 84 |   0   0  2
--------------+------+------------+---------------------+---------------------+--------------------+-----------------+-----------
o3o3o3o3x3o . ♦   21 |   105    0 |   140   35    0   0 |   105   35    0   0 |   42   21    0   0 |   7   7    0  0 | 128   *  *
o3o3o3o3x . x ♦   12 |    30    6 |    40    0   15   0 |    30    0   20   0 |   12    0   15   0 |   2   0    6  0 |   * 448  *
. o3o3o3x3o4x ♦  960 |  3840  960 |  3840 1280 1920 240 |  1920  960 1920 160 |  384  384  960  60 |   0  64  192 12 |   *   * 14