Acronym sidthixhi Name small ditrigonary hecatonicosihexacosihecatonicosachoron Circumradius sqrt[(13-3 sqrt(5))/2] = 1.773668 Colonel of regiment sadixady Externallinks

As abstract polytope sidthixhi is isomorphic to gidthixhi, thereby replacing decagons by decagrams and pentagrams by pentagons, respectively replacing gissid by doe and sidditdid by gidditdid. – It also is isomorphic to gixhihy, thereby replacing only decagons by decagrams, respectively replacing sidditdid by gaddid. – Finally it is isomorphic to sixhihy, thereby replacing only pentagrams by pentagons, respectively replacing gissid by doe and sidditdid by saddid. – As such sidthixhi is a lieutenant.

Incidence matrix according to Dynkin symbol

o3o3x5x5/3*b

. . . .      | 2400 |    3    3 |    3    3   3 |   1   3   1
-------------+------+-----------+---------------+------------
. . x .      |    2 | 3600    * |    2    0   1 |   1   0   2
. . . x      |    2 |    * 3600 |    0    2   1 |   0   1   2
-------------+------+-----------+---------------+------------
. o3x .      |    3 |    3    0 | 2400    *   * |   1   0   1
. o . x5/3*b |    5 |    0    5 |    * 1440   * |   0   1   1
. . x5x      |   10 |    5    5 |    *    * 720 |   0   0   2
-------------+------+-----------+---------------+------------
o3o3x .          4 |    6    0 |    4    0   0 | 600   *   *
o3o . x5/3*b    20 |    0   30 |    0   12   0 |   * 120   *
. o3x5x5/3*b    60 |   60   60 |   20   12  12 |   *   * 120

o3o3/2x5x5/2*b

. .   . .      | 2400 |    3    3 |    3    3   3 |   1   3   1
---------------+------+-----------+---------------+------------
. .   x .      |    2 | 3600    * |    2    0   1 |   1   0   2
. .   . x      |    2 |    * 3600 |    0    2   1 |   0   1   2
---------------+------+-----------+---------------+------------
. o3/2x .      |    3 |    3    0 | 2400    *   * |   1   0   1
. o   . x5/2*b |    5 |    0    5 |    * 1440   * |   0   1   1
. .   x5x      |   10 |    5    5 |    *    * 720 |   0   0   2
---------------+------+-----------+---------------+------------
o3o3/2x .          4 |    6    0 |    4    0   0 | 600   *   *
o3o   . x5/2*b    20 |    0   30 |    0   12   0 |   * 120   *
. o3/2x5x5/2*b    60 |   60   60 |   20   12  12 |   *   * 120

o3/2o3x5x5/3*b

.   . . .      | 2400 |    3    3 |    3    3   3 |   1   3   1
---------------+------+-----------+---------------+------------
.   . x .      |    2 | 3600    * |    2    0   1 |   1   0   2
.   . . x      |    2 |    * 3600 |    0    2   1 |   0   1   2
---------------+------+-----------+---------------+------------
.   o3x .      |    3 |    3    0 | 2400    *   * |   1   0   1
.   o . x5/3*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   . x5x      |   10 |    5    5 |    *    * 720 |   0   0   2
---------------+------+-----------+---------------+------------
o3/2o3x .          4 |    6    0 |    4    0   0 | 600   *   *
o3/2o . x5/3*b    20 |    0   30 |    0   12   0 |   * 120   *
.   o3x5x5/3*b    60 |   60   60 |   20   12  12 |   *   * 120

o3/2o3/2x5x5/2*b

.   .   . .      | 2400 |    3    3 |    3    3   3 |   1   3   1
-----------------+------+-----------+---------------+------------
.   .   x .      |    2 | 3600    * |    2    0   1 |   1   0   2
.   .   . x      |    2 |    * 3600 |    0    2   1 |   0   1   2
-----------------+------+-----------+---------------+------------
.   o3/2x .      |    3 |    3    0 | 2400    *   * |   1   0   1
.   o   . x5/2*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   .   x5x      |   10 |    5    5 |    *    * 720 |   0   0   2
-----------------+------+-----------+---------------+------------
o3/2o3/2x .          4 |    6    0 |    4    0   0 | 600   *   *
o3/2o   . x5/2*b    20 |    0   30 |    0   12   0 |   * 120   *
.   o3/2x5x5/2*b    60 |   60   60 |   20   12  12 |   *   * 120

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