Acronym ...
Name f3o5x,
variation of srid,
hull of siid,
hull of quit gissid
Circumradius sqrt[(33+13 sqrt(5))/8] = 2.785428
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between f3o and f . x:   arccos(-(1+sqrt(5))/sqrt(12)) = 159.094843°
  • between f . x and o5x:   arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°
Confer
uniform variant:
srid  
variations:
q3o5x   v3o5f   a3b5c  

Incidence matrix according to Dynkin symbol

f3o5x

. . . | 60 |  2  2 |  1  2  1
------+----+-------+---------
f . . |  2 | 60  * |  1  1  0
. . x |  2 |  * 60 |  0  1  1
------+----+-------+---------
f3o . |  3 |  3  0 | 20  *  *
f . x |  4 |  2  2 |  * 30  *
. o5x |  5 |  0  5 |  *  * 12

x5/4o3/2f 

.   .   . | 60 |  2  2 |  1  2  1
----------+----+-------+---------
x   .   . |  2 | 60  * |  1  1  0
.   .   f |  2 |  * 60 |  0  1  1
----------+----+-------+---------
x5/4o   . |  5 |  5  0 | 12  *  *
x   .   f |  4 |  2  2 |  * 30  *
.   o3/2f |  3 |  0  3 |  *  * 20

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