| Acronym | ... |
| Name |
q x8o, variation of octagonal prism |
| Circumradius | sqrt[(3+sqrt(2))/2] = 1.485633 |
| Volume | 2[2+sqrt(2)] = 3.695518 |
| General of army | (is itself convex) |
| Colonel of regiment | (is itself locally convex) |
| Dihedral angles |
|
| Face vector | 16, 24, 10 |
| Confer |
using edge sizes x = 1 and q = sqrt(2) = 1.414214
Incidence matrix according to Dynkin symbol
q x8o . . . | 16 | 1 2 | 2 1 ------+----+------+---- q . . | 2 | 8 * | 2 0 . x . | 2 | * 16 | 1 1 ------+----+------+---- q x . | 4 | 2 2 | 8 * . x8o | 8 | 0 8 | * 2
q x4x . . . | 16 | 1 1 1 | 1 1 1 ------+----+-------+------ q . . | 2 | 8 * * | 1 1 0 . x . | 2 | * 8 * | 1 0 1 . . x | 2 | * * 8 | 0 1 1 ------+----+-------+------ q x . | 4 | 2 2 0 | 4 * * q . x | 4 | 2 0 2 | * 4 * . x4x | 8 | 0 4 4 | * * 2
xx8oo&#q → height = sqrt(2) = 1.414214
({8} || {8})
o.8o. | 8 * | 2 1 0 | 1 2 0
.o8.o | * 8 | 0 1 2 | 0 2 1
---------+-----+-------+------
x. .. | 2 0 | 8 * * | 1 1 0
oo8oo&#q | 1 1 | * 8 * | 0 2 0
.x .. | 0 2 | * * 8 | 0 1 1
---------+-----+-------+------
x.8o. | 8 0 | 8 0 0 | 1 * *
xx ..&#q | 2 2 | 1 2 1 | * 8 *
.x8.o | 0 8 | 0 0 8 | * * 1
xx4xx&#q → height = sqrt(2) = 1.414214
({8} || {8})
o.4o. | 8 * | 1 1 1 0 0 | 1 1 1 0
.o4.o | * 8 | 0 0 1 1 1 | 0 1 1 1
---------+-----+-----------+--------
x. .. | 2 0 | 4 * * * * | 1 1 0 0
.. x. | 2 0 | * 4 * * * | 1 0 1 0
oo4oo&#q | 1 1 | * * 8 * * | 0 1 1 0
.x .. | 0 2 | * * * 4 * | 0 1 0 1
.. .x | 0 2 | * * * * 4 | 0 0 1 1
---------+-----+-----------+--------
x.4x. | 8 0 | 4 4 0 0 0 | 1 * * *
xx ..&#q | 2 2 | 1 0 2 1 0 | * 4 * *
.. xx&#q | 2 2 | 0 1 2 0 1 | * * 4 *
.x4.x | 0 8 | 0 0 0 4 4 | * * * 1
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