Acronym opatic, op || tic, K-4.106 Name octagonal prism atop truncated cube Segmentochoron display Circumradius sqrt[2+sqrt(2)] = 1.847759 Lace cityin approx. ASCII-art ``` x4x x4x x4x w4o w4o x4x ``` Dihedral angles at {3} between squippy and trip:   150° at {4} between op and squippy:   135° at {8} between op and op:   135° at {4} between op and trip:   arccos(-1/sqrt(3)) = 125.264390° at {4} between squacu and trip:   arccos(-1/sqrt(3)) = 125.264390° at {3} between squacu and squippy:   120° at {4} between op and squacu:   90° at {8} between squacu and tic:   90° at {3} between squippy and tic:   60° at {8} between op and tic:   45° Confer uniform relative: srit   general polytopal classes: segmentochora

Incidence matrix according to Dynkin symbol

```x(wx) x(xw)4x(xo)&#x   → height = 1/sqrt(2) = 0.707107
(op || tic)

o(..) o(..)4o(..)     | 16  * * | 1 1 1  1  1 0 0  0 0 | 1 1 1 1 1  1 1 1 0 0 0 | 1 1 1 1 1 0
.(o.) .(o.)4.(o.)     |  * 16 * | 0 0 0  1  0 1 1  1 0 | 0 0 0 1 1  1 0 0 1 1 1 | 0 1 1 1 0 1
.(.o) .(.o)4.(.o)     |  *  * 8 | 0 0 0  0  2 0 0  2 1 | 0 0 0 0 0  2 2 1 0 2 1 | 0 0 2 1 1 1
----------------------+---------+----------------------+------------------------+------------
x(..) .(..) .(..)     |  2  0 0 | 8 * *  *  * * *  * * | 1 1 0 0 0  0 1 0 0 0 0 | 1 0 1 0 1 0
.(..) x(..) .(..)     |  2  0 0 | * 8 *  *  * * *  * * | 1 0 1 1 0  0 0 0 0 0 0 | 1 1 1 0 0 0
.(..) .(..) x(..)     |  2  0 0 | * * 8  *  * * *  * * | 0 1 1 0 1  0 0 1 0 0 0 | 1 1 0 1 1 0
o(o.) o(o.)4o(o.)&#x  |  1  1 0 | * * * 16  * * *  * * | 0 0 0 1 1  1 0 0 0 0 0 | 0 1 1 1 0 0
o(.o) o(.o)4o(.o)&#x  |  1  0 1 | * * *  * 16 * *  * * | 0 0 0 0 0  1 1 1 0 0 0 | 0 0 1 1 1 0
.(..) .(x.) .(..)     |  0  2 0 | * * *  *  * 8 *  * * | 0 0 0 1 0  0 0 0 1 1 0 | 0 1 1 0 0 1
.(..) .(..) .(x.)     |  0  2 0 | * * *  *  * * 8  * * | 0 0 0 0 1  0 0 0 1 0 1 | 0 1 0 1 0 1
.(oo) .(oo)4.(oo)&#x  |  0  1 1 | * * *  *  * * * 16 * | 0 0 0 0 0  1 0 0 0 1 1 | 0 0 1 1 0 1
.(.x) .(..) .(..)     |  0  0 2 | * * *  *  * * *  * 4 | 0 0 0 0 0  0 2 0 0 2 0 | 0 0 2 0 1 1
----------------------+---------+----------------------+------------------------+------------
x(..) x(..) .(..)     |  4  0 0 | 2 2 0  0  0 0 0  0 0 | 4 * * * *  * * * * * * | 1 0 1 0 0 0
x(..) .(..) x(..)     |  4  0 0 | 2 0 2  0  0 0 0  0 0 | * 4 * * *  * * * * * * | 1 0 0 0 1 0
.(..) x(..)4x(..)     |  8  0 0 | 0 4 4  0  0 0 0  0 0 | * * 2 * *  * * * * * * | 1 1 0 0 0 0
.(..) x(x.) .(..)&#x  |  2  2 0 | 0 1 0  2  0 1 0  0 0 | * * * 8 *  * * * * * * | 0 1 1 0 0 0
.(..) .(..) x(x.)&#x  |  2  2 0 | 0 0 1  2  0 0 1  0 0 | * * * * 8  * * * * * * | 0 1 0 1 0 0
o(oo) o(oo)4o(oo)&#x  |  1  1 1 | 0 0 0  1  1 0 0  1 0 | * * * * * 16 * * * * * | 0 0 1 1 0 0
x(.x) .(..) .(..)&#x  |  2  0 2 | 1 0 0  0  2 0 0  0 1 | * * * * *  * 8 * * * * | 0 0 1 0 1 0
.(..) .(..) x(.o)&#x  |  2  0 1 | 0 0 1  0  2 0 0  0 0 | * * * * *  * * 8 * * * | 0 0 0 1 1 0
.(..) .(x.)4.(x.)     |  0  8 0 | 0 0 0  0  0 4 4  0 0 | * * * * *  * * * 2 * * | 0 1 0 0 0 1
.(wx) .(xw) .(..)&#zx |  0  4 4 | 0 0 0  0  0 2 0  4 2 | * * * * *  * * * * 4 * | 0 0 1 0 0 1
.(..) .(..) .(xo)&#x  |  0  2 1 | 0 0 0  0  0 0 1  2 0 | * * * * *  * * * * * 8 | 0 0 0 1 0 1
----------------------+---------+----------------------+------------------------+------------
x(..) x(..)4x(..)     ♦ 16  0 0 | 8 8 8  0  0 0 0  0 0 | 4 4 2 0 0  0 0 0 0 0 0 | 1 * * * * *
.(..) x(x.)4x(x.)&#x  ♦  8  8 0 | 0 4 4  8  0 4 4  0 0 | 0 0 1 4 4  0 0 0 1 0 0 | * 2 * * * *
x(wx) x(xw) .(..)&#zx ♦  4  4 4 | 2 2 0  4  4 2 0  4 2 | 1 0 0 2 0  4 2 0 0 1 0 | * * 4 * * *
.(..) .(..) x(xo)&#x  ♦  2  2 1 | 0 0 1  2  2 0 1  2 0 | 0 0 0 0 1  2 0 1 0 0 1 | * * * 8 * *
x(.x) .(..) x(.o)&#x  ♦  4  0 2 | 2 0 2  0  4 0 0  0 1 | 0 1 0 0 0  0 2 2 0 0 0 | * * * * 4 *
.(wx) .(xw)4.(xo)&#zx ♦  0 16 8 | 0 0 0  0  0 8 8 16 4 | 0 0 0 0 0  0 0 0 2 4 8 | * * * * * 1
```