| 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) |
| Admiral of fleet | nit |
| Confer |
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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