Acronym ...
Name f3x5o,
variation of ti,
hull of tigid,
hull of gaddid
Circumradius sqrt[19+8 sqrt(5)]/2 = 3.036797
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Confer
variations:
ti   x3f5o   a3b5c  

Incidence matrix according to Dynkin symbol

f3x5o

. . . | 60 |  1  2 |  2  1
------+----+-------+------
f . . |  2 | 30  * |  2  0
. x . |  2 |  * 60 |  1  1
------+----+-------+------
f3x . |  6 |  3  3 | 20  *
. x5o |  5 |  0  5 |  * 12

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