Acronym ...
Name v3o5f,
variation of srid,
hull of tiggy
Circumradius sqrt[(21+sqrt(5))/8] = 1.704262
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer srid   q3o5x   f3o5x   a3b5c  

Incidence matrix according to Dynkin symbol

v3o5f

. . . | 60 |  2  2 |  1  2  1
------+----+-------+---------
v . . |  2 | 60  * |  1  1  0
. . f |  2 |  * 60 |  0  1  1
------+----+-------+---------
v3o . |  3 |  3  0 | 20  *  *
v . f |  4 |  2  2 |  * 30  *
. o5f |  5 |  0  5 |  *  * 12

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