Acronym todin
Name triacontadiadispenteract,
compound of 2 hin
Circumradius sqrt(5/8) = 0.790569
Inradius
wrt. pen
3/sqrt(40) = 0.474342
Inradius
wrt. hex
1/sqrt(8) = 0.353553
General of army pent
Colonel of regiment (is itself locally convex)
Confer
compound-component:
hin  
general polytopal classes:
regular  

Comes in 3 types, depending on the pairs of co-realmic hex (in gyrated positioning): being counted separately (type A) or being combined to haddet compounds as well. Within the latter case further depending on the pairs of co-realmic tet (in dual positioning): being counted separately (type B) or being combined to so compounds as well (type C).


Incidence matrix according to Dynkin symbol

xo3oo3ox *b3oo3oo   (Type A)

o.3o.3o. *b3o.3o.  & | 32   10 |  30 | 10  20 |  5  5 || 1
---------------------+----+-----+-----+--------+-------++--
x. .. ..    .. ..  & |  2 | 160    6 |  3   6 |  3  2 || 1
---------------------+----+-----+-----+--------+-------++--
x.3o. ..    .. ..  & |  3 |   3 | 320 |  1   2 |  2  1 || 1
---------------------+----+-----+-----+--------+-------++--
x.3o.3o.    .. ..  &   4 |   6 |   4 | 80   * |  2  0 || 1
x.3o. .. *b3o. ..  &   4 |   6 |   4 |  * 160 |  1  1 || 1
---------------------+----+-----+-----+--------+-------++--
x.3o.3o. *b3o. ..  &   8 |  24 |  32 |  8   8 | 20  * || 1
x.3o. .. *b3o.3o.  &   5 |  10 |  10 |  0   5 |  * 32 || 1
---------------------+----+-----+-----+--------+-------++--
x.3o.3o. *b3o.3o.  &  16 |  80 | 160 | 40  80 | 10 16 || 2

o3o3o3o4β   (Type A)

both( . . . . . ) | 32   10 |  30 | 10  20 |  5  5 || 1
------------------+----+-----+-----+--------+-------++--
both( . . . o4s ) |  2 | 160    6 |  3   6 |  3  2 || 1
------------------+----+-----+-----+--------+-------++--
sefa( . . o3o4s ) |  3 |   3 | 320 |  1   2 |  2  1 || 1
------------------+----+-----+-----+--------+-------++--
both( . . o3o4s )   4 |   6 |   4 | 80   * |  2  0 || 1
sefa( . o3o3o4s )   4 |   6 |   4 |  * 160 |  1  1 || 1
------------------+----+-----+-----+--------+-------++--
both( . o3o3o4s )   8 |  24 |  32 |  8   8 | 20  * || 1
sefa( o3o3o3o4s )   5 |  10 |  10 |  0   5 |  * 32 || 1
------------------+----+-----+-----+--------+-------++--
both( o3o3o3o4s )  16 |  80 | 160 | 40  80 | 10 16 || 2

starting figure: o3o3o3o4x

o3o3o3o4β   (Type B)

both( . . . . . ) | 32   10 |  30 | 10  20 |  5  5 || 1
------------------+----+-----+-----+--------+-------++--
both( . . . o4s ) |  2 | 160    6 |  3   6 |  3  2 || 1
------------------+----+-----+-----+--------+-------++--
sefa( . . o3o4s ) |  3 |   3 | 320 |  1   2 |  2  1 || 1
------------------+----+-----+-----+--------+-------++--
both( . . o3o4s )   4 |   6 |   4 | 80   * |  2  0 || 1
sefa( . o3o3o4β )   4 |   6 |   4 |  * 160 |  1  1 || 1
------------------+----+-----+-----+--------+-------++--
      . o3o3o4β    16 |  48 |  64 | 16  16 | 10  * || 2
sefa( o3o3o3o4s )   5 |  10 |  10 |  0   5 |  * 32 || 1
------------------+----+-----+-----+--------+-------++--
both( o3o3o3o4s )  16 |  80 | 160 | 40  80 | 10 16 || 2

starting figure: o3o3o3o4x

o3o3o3o4β   (Type C)

both( . . . . . ) | 32   10 |  30 | 10  20 |  5  5 || 1
------------------+----+-----+-----+--------+-------++--
both( . . . o4s ) |  2 | 160    6 |  3   6 |  3  2 || 1
------------------+----+-----+-----+--------+-------++--
sefa( . . o3o4β ) |  3 |   3 | 320 |  1   2 |  2  1 || 1
------------------+----+-----+-----+--------+-------++--
      . . o3o4β     8 |  12 |   8 | 40   * |  2  0 || 2
sefa( . o3o3o4β )   4 |   6 |   4 |  * 160 |  1  1 || 1
------------------+----+-----+-----+--------+-------++--
      . o3o3o4β    16 |  48 |  64 | 16  16 | 10  * || 2
sefa( o3o3o3o4s )   5 |  10 |  10 |  0   5 |  * 32 || 1
------------------+----+-----+-----+--------+-------++--
both( o3o3o3o4s )  16 |  80 | 160 | 40  80 | 10 16 || 2

starting figure: o3o3o3o4x

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