| Acronym | ... | 
| Name | 
x v5o, variation of pentagonal prism, vertex figure of rigfix  | 
| Circumradius | sqrt[(15-2 sqrt(5))/20] = 0.725530 | 
| General of army | (is itself convex) | 
| Colonel of regiment | (is itself locally convex) | 
| Face vector | 10, 15, 7 | 
| Confer | n-p pip q x5o f x5o v x5o u x5o f v5o | 
Incidence matrix according to Dynkin symbol
x v5o . . . | 10 | 1 2 | 2 1 ------+----+------+---- x . . | 2 | 5 * | 2 0 . v . | 2 | * 10 | 1 1 ------+----+------+---- x v . | 4 | 2 2 | 5 * . v5o | 5 | 0 5 | * 2
vv5oo&#x   → height = 1
(v-{5} || v-{5})
o.5o.    | 5 * | 2 1 0 | 1 2 0
.o5.o    | * 5 | 0 1 2 | 0 2 1
---------+-----+-------+------
v. ..    | 2 0 | 5 * * | 1 1 0
oo5oo&#x | 1 1 | * 5 * | 0 2 0
.v ..    | 0 2 | * * 5 | 0 1 1
---------+-----+-------+------
v.5o.    | 5 0 | 5 0 0 | 1 * *
vv ..&#x | 2 2 | 1 2 1 | * 5 *
.v5.o    | 0 5 | 0 0 5 | * * 1
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