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: gad gaddid gidditdid gike ike pip sissid tiggy trip tut
gisdipthi 1200120120000000
quipdohi 1200012007200012000
gidipthi 0120001200120000
gidpixathi 000012001201206000
& others)
Confer prarsi  
External
links
hedrondude   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

© 2004-2019
top of page