Acronym ...
Name q3o5x,
variation of srid
Circumradius sqrt[(19+8 sqrt(2)+5 sqrt(5)+4 sqrt(10))/8] = 2.601518
General of army (is itself convex)
Colonel of regiment (is itself locally convex)
Dihedral angles
  • between q3o and q . x:   arccos(-(1+sqrt(5))/sqrt(12)) = 159.094843°
  • between q . x and o5x:   arccos(-sqrt[(5+sqrt(5))/10]) = 148.282526°
Face vector 60, 120, 62
Confer
uniform variant:
srid  
variations:
a3b5c   f3o5x   x3o5f   v3o5f  

using edge sizes x = 1 and q = sqrt(2) = 1.414214


Incidence matrix according to Dynkin symbol

q3o5x

. . . | 60 |  2  2 |  1  2  1
------+----+-------+---------
q . . |  2 | 60  * |  1  1  0
. . x |  2 |  * 60 |  0  1  1
------+----+-------+---------
q3o . |  3 |  3  0 | 20  *  *
q . x |  4 |  2  2 |  * 30  *
. o5x |  5 |  0  5 |  *  * 12


x5/4o3/2q 

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

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