Acronym phexid Name partially hexa-expanded icosidodecahedron ` ©` Vertex figure [(3,5)2], [3,4,h,5], [4,5,H] Lace cityin approx. ASCII-art ``` o f f x x A A where: C=A+f=2f+q x x B=A+x=f+q+x F B B F A=f+q F=ff=f+x o C o F B B F x x A A x x f f o ``` Coordinates (C, 0, 0)/2           & all permutations, all changes of sign ([(3,5)2] type vertices) (x, f, B)/2            & all cyclic permutations, all changes of sign ([3,4,h,5] type vertices) (x, A, F)/2           & all cyclic permutations, all changes of sign ([4,5,H] type vertices) where C=A+f=2f+q, B=A+x=f+q+x, A=f+q, F=ff=f+x Confer uniform variant: id general polytopal classes: partial Stott expansions

The semiregular shield hexagon {(h,H)3} has alternating corner angles h = arccos[(3-sqrt(5))/sqrt(32)] = 82.238756° resp. H = arccos[-(3+sqrt(5))/sqrt(32)] = 157.761244°.

Incidence matrix

```6  *  * |  4  0  0  0  0 |  2  2  0 0  [(3,5)2]
* 24  * |  1  1  1  1  0 |  1  1  1 1  [3,4,h,5]
*  * 24 |  0  0  1  1  1 |  0  1  1 1  [4,5,H]
--------+----------------+-----------
1  1  0 | 24  *  *  *  * |  1  1  0 0
0  2  0 |  * 12  *  *  * |  1  0  1 0
0  1  1 |  *  * 24  *  * |  0  0  1 1  {4}-{(h,H)3}
0  1  1 |  *  *  * 24  * |  0  1  0 1  {5}-{(h,H)3}
0  0  2 |  *  *  *  * 12 |  0  1  1 0
--------+----------------+-----------
1  2  0 |  2  1  0  0  0 | 12  *  * *
1  2  2 |  2  0  0  2  1 |  * 12  * *
0  2  2 |  0  1  2  0  1 |  *  * 12 *
0  3  3 |  0  0  3  3  0 |  *  *  * 8  {(h,H)3}
```