Acronym	sixhihy
Name	small hexacosihecatonicosihecatonicosachoron
Cross sections	©
Circumradius	3+sqrt(5) = 5.236068
General of army	sidpixhi
Colonel of regiment	sidpixhi
Face vector	2400, 7200, 4560, 840
Confer	general polytopal classes: Wythoffian polychora
External links

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

Incidence matrix according to Dynkin symbol

o3o3x5x5/4*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 . x5/4*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 . x5/4*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
. o3x5x5/4*b ♦   60 |   60   60 |   20   12  12 |   *   * 120

o3o3/2x5x5*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*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*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
. o3/2x5x5*b ♦   60 |   60   60 |   20   12  12 |   *   * 120

o3/2o3x5x5/4*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 . x5/4*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 . x5/4*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
.   o3x5x5/4*b ♦   60 |   60   60 |   20   12  12 |   *   * 120

o3/2o3/2x5x5*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*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*b ♦   20 |    0   30 |    0   12   0 |   * 120   *
.   o3/2x5x5*b ♦   60 |   60   60 |   20   12  12 |   *   * 120