Acronym gidipthi
Name great dipental trishecatonicosachoron
Circumradius sqrt[4-sqrt(5)] = 1.328131
Colonel of regiment (is itself locally convex – uniform polychoral members:
by cells: cho gad gaddid gidditdid giddy gike ike oho pip raded sissid tiggy trip tut
gacdupthix 600120001200000120120000
gisdipthi 01200120012000000000
quipdohi 01200001200072000012000
gad phiddix 00000120060000000600
gidipthi 00120000120000120000
gidpixathi 0000001200001201206000
& others)
Confer prarsi  
External
links
hedrondude   polytopewiki   WikiChoron  

As abstract polytope gidipthi is isomorphic to sidipthi, thereby interchanging pentagrams and pentagons and replacing the decagrams by decagons, respectively ike by gike, sissid by gad, and gaddid by saddid.

Further it is isomorphic to gisdipthi, thereby likewise interchanging pentagons and pentagrams, but maintaining the decagrams, respectively replacing ike by gike, sissid by gad, and gaddid by gidditdid.

Finally it is isomorphic to sisdipthi, thereby maintaining pentagons and pentagrams, but replacing the decagrams by decagons, respectively replacing gaddid by sidditdid.


Incidence matrix according to Dynkin symbol

o5o3x5/3x5/2*b

. . .   .      | 1440 |    5    5 |    5    5   5 |   1   1   5
---------------+------+-----------+---------------+------------
. . 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 .   x5/2*b |    5 |    0    5 |    * 1440   * |   0   1   1
. . x5/3x      |   10 |    5    5 |    *    * 720 |   0   0   2
---------------+------+-----------+---------------+------------
o5o3x   .         12 |   30    0 |   20    0   0 | 120   *   *
o5o .   x5/2*b    12 |    0   30 |    0   12   0 |   * 120   *
. o3x5/3x5/2*b    60 |   60   60 |   20   12  12 |   *   * 120

o5o3/2x5/3x5/3*b

. .   .   .      | 1440 |    5    5 |    5    5   5 |   1   1   5
-----------------+------+-----------+---------------+------------
. .   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   .   x5/3*b |    5 |    0    5 |    * 1440   * |   0   1   1
. .   x5/3x      |   10 |    5    5 |    *    * 720 |   0   0   2
-----------------+------+-----------+---------------+------------
o5o3/2x   .         12 |   30    0 |   20    0   0 | 120   *   *
o5o   .   x5/3*b    12 |    0   30 |    0   12   0 |   * 120   *
. o3/2x5/3x5/3*b    60 |   60   60 |   20   12  12 |   *   * 120

o5/4o3x5/3x5/2*b

.   . .   .      | 1440 |    5    5 |    5    5   5 |   1   1   5
-----------------+------+-----------+---------------+------------
.   . 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 .   x5/2*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   . x5/3x      |   10 |    5    5 |    *    * 720 |   0   0   2
-----------------+------+-----------+---------------+------------
o5/4o3x   .         12 |   30    0 |   20    0   0 | 120   *   *
o5/4o .   x5/2*b    12 |    0   30 |    0   12   0 |   * 120   *
.   o3x5/3x5/2*b    60 |   60   60 |   20   12  12 |   *   * 120

o5/4o3/2x5/3x5/3*b

.   .   .   .      | 1440 |    5    5 |    5    5   5 |   1   1   5
-------------------+------+-----------+---------------+------------
.   .   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   .   x5/3*b |    5 |    0    5 |    * 1440   * |   0   1   1
.   .   x5/3x      |   10 |    5    5 |    *    * 720 |   0   0   2
-------------------+------+-----------+---------------+------------
o5/4o3/2x   .         12 |   30    0 |   20    0   0 | 120   *   *
o5/4o   .   x5/3*b    12 |    0   30 |    0   12   0 |   * 120   *
.   o3/2x5/3x5/3*b    60 |   60   60 |   20   12  12 |   *   * 120

© 2004-2021
top of page