| Acronym | ... |
| Name |
q x5o, variation of pentagonal prism |
| Circumradius | sqrt[(10+sqrt(5))/10] = 1.106168 |
| Volume | sqrt[50+20 sqrt(5)]/4 = 2.433122 |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Face vector | 10, 15, 7 |
| Confer | n-p pip f x5o v x5o u x5o x v5o f v5o |
using edge sizes x = 1 and q = sqrt(2) = 1.414214
Incidence matrix according to Dynkin symbol
q x5o . . . | 10 | 1 2 | 2 1 ------+----+------+---- q . . | 2 | 5 * | 2 0 . x . | 2 | * 10 | 1 1 ------+----+------+---- q x . | 4 | 2 2 | 5 * . x5o | 5 | 0 5 | * 2
xx5oo&#q → height = sqrt(2) = 1.414214
({5} || {5})
o.5o. | 5 * | 2 1 0 | 1 2 0
.o5.o | * 5 | 0 1 2 | 0 2 1
---------+-----+-------+------
x. .. | 2 0 | 5 * * | 1 1 0
oo5oo&#q | 1 1 | * 5 * | 0 2 0
.x .. | 0 2 | * * 5 | 0 1 1
---------+-----+-------+------
x.5o. | 5 0 | 5 0 0 | 1 * *
xx ..&#q | 2 2 | 1 2 1 | * 5 *
.x5.o | 0 5 | 0 0 5 | * * 1
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