Acronym gyepipa pero, K-4.140 Name gyroelongated pentagonal pyramid atop pentagonal rotunda Segmentochoron display Circumradius sqrt[5+2 sqrt(5)] = 3.077684 Lace cityin approx. ASCII-art ``` +-- peppy / x5o D A o5o o5f E B x5o +-- pecu / x5x F C o5x | | | +---- pero +-------- gyepip ``` General of army (is itself convex) Colonel of regiment (is itself locally convex) Dihedral angles at {3} between oct and oct:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {3} between oct and squippy:   arccos[-(1+3 sqrt(5))/8] = 164.477512° at {3} between gyepip and oct:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {3} between gyepip and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {3} between oct and peppy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {3} between peppy and squippy:   arccos(-sqrt[7+3 sqrt(5)]/4) = 157.761244° at {10} between pecu and pero:   144° at {5} between gyepip and pecu:   36° at {5} between peppy and pero:   36° at {3} between oct and pero:   arccos(sqrt[7+3 sqrt(5)]/4) = 22.238756° ... Confer uniform relative: rox   related segmentochora: ikaid   general polytopal classes: segmentochora

Incidence matrix

```gyepip || pero   → height = (sqrt(5)-1)/4 = 0.309017

1 * * * *  * | 5 5 0  0 0  0  0 0  0 0  0  0 0 0 | 5 5 5 0 0 0  0  0  0 0 0 0 0 0 0 0 0 0 | 1 5 1 0 0 0 0 0 A, verf = pip
* 5 * * *  * | 1 0 2  2 1  2  2 0  0 0  0  0 0 0 | 2 1 0 2 2 1  2  2  2 1 0 0 0 0 0 0 0 0 | 1 2 0 2 1 1 0 0 B, verf = pip
* * 5 * *  * | 0 0 0  2 0  0  0 2  2 0  0  0 0 0 | 0 0 0 1 0 2  2  0  0 0 1 2 1 0 0 0 0 0 | 1 0 0 1 2 0 1 0 C
* * * 5 *  * | 0 1 0  0 1  0  0 0  0 2  2  0 0 0 | 0 1 2 0 0 0  0  2  0 0 0 0 0 1 2 1 0 0 | 0 2 1 0 0 1 0 1 D
* * * * 5  * | 0 0 0  0 0  2  0 0  0 0  2  2 0 0 | 0 0 0 0 1 0  0  2  2 0 0 0 0 0 1 2 1 0 | 0 1 0 1 0 2 0 1 E
* * * * * 10 | 0 0 0  0 0  0  1 0  1 0  0  1 1 1 | 0 0 0 0 0 0  1  0  1 1 0 1 1 0 0 1 1 1 | 0 0 0 1 1 1 1 1 F
-------------+-----------------------------------+----------------------------------------+----------------
1 1 0 0 0  0 | 5 * *  * *  *  * *  * *  *  * * * | 2 1 0 0 0 0  0  0  0 0 0 0 0 0 0 0 0 0 | 1 2 0 0 0 0 0 0
1 0 0 1 0  0 | * 5 *  * *  *  * *  * *  *  * * * | 0 1 2 0 0 0  0  0  0 0 0 0 0 0 0 0 0 0 | 0 2 1 0 0 0 0 0
0 2 0 0 0  0 | * * 5  * *  *  * *  * *  *  * * * | 1 0 0 1 1 0  0  0  0 0 0 0 0 0 0 0 0 0 | 1 1 0 1 0 0 0 0
0 1 1 0 0  0 | * * * 10 *  *  * *  * *  *  * * * | 0 0 0 1 0 1  1  0  0 0 0 0 0 0 0 0 0 0 | 1 0 0 1 1 0 0 0
0 1 0 1 0  0 | * * *  * 5  *  * *  * *  *  * * * | 0 1 0 0 0 0  0  2  0 0 0 0 0 0 0 0 0 0 | 0 2 0 0 0 1 0 0
0 1 0 0 1  0 | * * *  * * 10  * *  * *  *  * * * | 0 0 0 0 1 0  0  1  1 0 0 0 0 0 0 0 0 0 | 0 1 0 1 0 1 0 0
0 1 0 0 0  1 | * * *  * *  * 10 *  * *  *  * * * | 0 0 0 0 0 0  1  0  1 1 0 0 0 0 0 0 0 0 | 0 0 0 1 1 1 0 0
0 0 2 0 0  0 | * * *  * *  *  * 5  * *  *  * * * | 0 0 0 0 0 1  0  0  0 0 1 1 0 0 0 0 0 0 | 1 0 0 0 1 0 1 0
0 0 1 0 0  1 | * * *  * *  *  * * 10 *  *  * * * | 0 0 0 0 0 0  1  0  0 0 0 1 1 0 0 0 0 0 | 0 0 0 1 1 0 1 0
0 0 0 2 0  0 | * * *  * *  *  * *  * 5  *  * * * | 0 0 1 0 0 0  0  0  0 0 0 0 0 1 1 0 0 0 | 0 1 1 0 0 0 0 1
0 0 0 1 1  0 | * * *  * *  *  * *  * * 10  * * * | 0 0 0 0 0 0  0  1  0 0 0 0 0 0 1 1 0 0 | 0 1 0 0 0 1 0 1
0 0 0 0 1  1 | * * *  * *  *  * *  * *  * 10 * * | 0 0 0 0 0 0  0  0  1 0 0 0 0 0 0 1 1 0 | 0 0 0 1 0 1 0 1
0 0 0 0 0  2 | * * *  * *  *  * *  * *  *  * 5 * | 0 0 0 0 0 0  0  0  0 0 0 0 1 0 0 0 1 1 | 0 0 0 1 0 0 1 1 at 3-10 of pero
0 0 0 0 0  2 | * * *  * *  *  * *  * *  *  * * 5 | 0 0 0 0 0 0  0  0  0 1 0 1 0 0 0 1 0 1 | 0 0 0 0 1 1 1 1 at 5-10 of pero
-------------+-----------------------------------+----------------------------------------+----------------
1 2 0 0 0  0 | 2 0 1  0 0  0  0 0  0 0  0  0 0 0 | 5 * * * * *  *  *  * * * * * * * * * * | 1 1 0 0 0 0 0 0
1 1 0 1 0  0 | 1 1 0  0 1  0  0 0  0 0  0  0 0 0 | * 5 * * * *  *  *  * * * * * * * * * * | 0 2 0 0 0 0 0 0
1 0 0 2 0  0 | 0 2 0  0 0  0  0 0  0 1  0  0 0 0 | * * 5 * * *  *  *  * * * * * * * * * * | 0 1 1 0 0 0 0 0
0 2 1 0 0  0 | 0 0 1  2 0  0  0 0  0 0  0  0 0 0 | * * * 5 * *  *  *  * * * * * * * * * * | 1 0 0 1 0 0 0 0
0 2 0 0 1  0 | 0 0 1  0 0  2  0 0  0 0  0  0 0 0 | * * * * 5 *  *  *  * * * * * * * * * * | 0 1 0 1 0 0 0 0
0 1 2 0 0  0 | 0 0 0  2 0  0  0 1  0 0  0  0 0 0 | * * * * * 5  *  *  * * * * * * * * * * | 1 0 0 0 1 0 0 0
0 1 1 0 0  1 | 0 0 0  1 0  0  1 0  1 0  0  0 0 0 | * * * * * * 10  *  * * * * * * * * * * | 0 0 0 1 1 0 0 0
0 1 0 1 1  0 | 0 0 0  0 1  1  0 0  0 0  1  0 0 0 | * * * * * *  * 10  * * * * * * * * * * | 0 1 0 0 0 1 0 0
0 1 0 0 1  1 | 0 0 0  0 0  1  1 0  0 0  0  1 0 0 | * * * * * *  *  * 10 * * * * * * * * * | 0 0 0 1 0 1 0 0
0 1 0 0 0  2 | 0 0 0  0 0  0  2 0  0 0  0  0 0 1 | * * * * * *  *  *  * 5 * * * * * * * * | 0 0 0 0 1 1 0 0
0 0 5 0 0  0 | 0 0 0  0 0  0  0 5  0 0  0  0 0 0 | * * * * * *  *  *  * * 1 * * * * * * * | 1 0 0 0 0 0 1 0
0 0 2 0 0  2 | 0 0 0  0 0  0  0 1  2 0  0  0 0 1 | * * * * * *  *  *  * * * 5 * * * * * * | 0 0 0 0 1 0 1 0
0 0 1 0 0  2 | 0 0 0  0 0  0  0 0  2 0  0  0 1 0 | * * * * * *  *  *  * * * * 5 * * * * * | 0 0 0 1 0 0 1 0
0 0 0 5 0  0 | 0 0 0  0 0  0  0 0  0 5  0  0 0 0 | * * * * * *  *  *  * * * * * 1 * * * * | 0 0 1 0 0 0 0 1
0 0 0 2 1  0 | 0 0 0  0 0  0  0 0  0 1  2  0 0 0 | * * * * * *  *  *  * * * * * * 5 * * * | 0 1 0 0 0 0 0 1
0 0 0 1 2  2 | 0 0 0  0 0  0  0 0  0 0  2  2 0 1 | * * * * * *  *  *  * * * * * * * 5 * * | 0 0 0 0 0 1 0 1
0 0 0 0 1  2 | 0 0 0  0 0  0  0 0  0 0  0  2 1 0 | * * * * * *  *  *  * * * * * * * * 5 * | 0 0 0 1 0 0 0 1
0 0 0 0 0 10 | 0 0 0  0 0  0  0 0  0 0  0  0 5 5 | * * * * * *  *  *  * * * * * * * * * 1 | 0 0 0 0 0 0 1 1
-------------+-----------------------------------+----------------------------------------+----------------
1 5 5 0 0  0 | 5 0 5 10 0  0  0 5  0 0  0  0 0 0 | 5 0 0 5 0 5  0  0  0 0 1 0 0 0 0 0 0 0 | 1 * * * * * * * gyepip
1 2 0 2 1  0 | 2 2 1  0 2  2  0 0  0 1  2  0 0 0 | 1 2 1 0 1 0  0  2  0 0 0 0 0 0 1 0 0 0 | * 5 * * * * * * oct
1 0 0 5 0  0 | 0 5 0  0 0  0  0 0  0 5  0  0 0 0 | 0 0 5 0 0 0  0  0  0 0 0 0 0 1 0 0 0 0 | * * 1 * * * * * peppy
0 2 1 0 1  2 | 0 0 1  2 0  2  2 0  2 0  0  2 1 0 | 0 0 0 1 1 0  2  0  2 0 0 0 1 0 0 0 1 0 | * * * 5 * * * * oct
0 1 2 0 0  2 | 0 0 0  2 0  0  2 1  2 0  0  0 0 1 | 0 0 0 0 0 1  2  0  0 1 0 1 0 0 0 0 0 0 | * * * * 5 * * * squippy
0 1 0 1 2  2 | 0 0 0  0 1  2  2 0  0 0  2  2 0 1 | 0 0 0 0 0 0  0  2  2 1 0 0 0 0 0 1 0 0 | * * * * * 5 * * peppy
0 0 5 0 0 10 | 0 0 0  0 0  0  0 5 10 0  0  0 5 5 | 0 0 0 0 0 0  0  0  0 0 1 5 5 0 0 0 0 1 | * * * * * * 1 * pecu
0 0 0 5 5 10 | 0 0 0  0 0  0  0 0  0 5 10 10 5 5 | 0 0 0 0 0 0  0  0  0 0 0 0 0 1 5 5 5 1 | * * * * * * * 1 pero
```

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