| Acronym | ... |
| Name |
u x5o, variation of pentagonal prism |
| Circumradius | sqrt[(15+sqrt(5))/10] = 1.312862 |
|
Lace city in approx. ASCII-art |
o o f f x x |
x x x x x | |
| Volume | sqrt[25+10 sqrt(5)]/2 = 3.440955 |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Face vector | 10, 15, 7 |
| Confer | pip q x5o f x5o v x5o x v5o f v5o |
Incidence matrix according to Dynkin symbol
u x5o . . . | 10 | 1 2 | 2 1 ------+----+------+---- u . . | 2 | 5 * | 2 0 . x . | 2 | * 10 | 1 1 ------+----+------+---- u x . | 4 | 2 2 | 5 * . x5o | 5 | 0 5 | * 2
xx5oo&#u → height = 2
({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&#u | 1 1 | * 5 * | 0 2 0
.x .. | 0 2 | * * 5 | 0 1 1
---------+-----+-------+------
x.5o. | 5 0 | 5 0 0 | 1 * *
xx ..&#u | 2 2 | 1 2 1 | * 5 *
.x5.o | 0 5 | 0 0 5 | * * 1
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