# s-net: sqc14171

## Topological data

 Vertices per primitive translational unit 68 Edges per primitive translational unit 144 Transitivity (vertex,edge) (5,5) Vertex degrees {6,4,3,12,4} Vertex coordination sequence [(6, 12, 60, 90, 180, 192, 486, 548, 726, 684), (4, 16, 28, 102, 130, 282, 314, 582, 604, 928), (3, 6, 24, 40, 122, 147, 332, 371, 620, 626), (12, 24, 78, 96, 246, 288, 486, 488, 852, 888), (4, 22, 38, 107, 126, 316, 360, 563, 558, 982)] Wellsâ€™ vertex symbol [4^6.6^6.8^3, 4^4.6^2, 4^3, 4^12.6^18.8^24.10^12, 4^4.6^2] Systre key (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 1, 8, 0, 0, 0, 1, 9, 0, 0, 0, 1, 10, 0, 0, 0, 1, 11, 0, 0, 0, 1, 12, 0, 0, 0, 1, 13, 0, 0, 0, 2, 14, 0, 0, 0, 2, 15, 0, 0, 0, 2, 16, 0, 0, 0, 3, 15, 0, 0, 0, 3, 17, 0, 0, 0, 3, 18, 0, 0, 0, 4, 16, 0, 0, 0, 4, 19, 0, 0, 0, 4, 20, 0, 0, 0, 5, 18, 0, 0, 0, 5, 21, 0, 0, 0, 5, 22, 0, 0, 0, 6, 20, 0, 0, 0, 6, 23, 0, 0, 0, 6, 24, 0, 0, 0, 7, 21, 0, 0, 0, 7, 25, 0, 0, 0, 7, 26, 0, 0, 0, 8, 23, 0, 0, 0, 8, 26, 1, 0, 0, 8, 27, 0, 0, 0, 9, 24, 0, 1, 0, 9, 25, 0, 0, 0, 9, 28, 0, 0, 0, 10, 22, 1, 1, 0, 10, 27, 0, 0, 0, 10, 29, 0, 0, 0, 11, 19, 0, 0, 1, 11, 28, 0, 0, 0, 11, 30, 0, 0, 0, 12, 17, 1, 0, 1, 12, 29, 0, 0, 0, 12, 31, 0, 0, 0, 13, 14, 0, -1, 1, 13, 30, 0, 0, 0, 13, 31, 0, 0, 0, 14, 32, 0, 0, 0, 14, 33, 0, 0, 0, 14, 34, 0, 0, 0, 14, 35, 0, 0, 0, 14, 36, 0, 0, 0, 14, 37, 0, 0, 0, 14, 38, 0, 0, 0, 14, 39, 0, 0, 0, 14, 40, 0, 0, 0, 14, 41, 0, 0, 0, 15, 38, 0, 0, 0, 16, 39, 0, 0, 0, 17, 35, -1, -1, 0, 17, 38, 0, 0, 0, 17, 42, 0, 0, 0, 17, 43, 0, 0, 0, 18, 43, 0, 0, 0, 19, 34, 0, -1, 0, 19, 39, 0, 0, 0, 19, 44, 0, 0, 0, 19, 45, 0, 0, 0, 20, 45, 0, 0, 0, 21, 46, 0, 0, 0, 22, 32, 0, -1, 1, 22, 41, -1, -1, 0, 22, 42, 0, -1, 1, 22, 43, 0, 0, 0, 22, 46, 0, 0, 0, 22, 47, 0, 0, 0, 22, 48, 0, 0, 0, 22, 49, 0, 0, 0, 22, 50, 0, 0, 0, 22, 51, 0, 0, 0, 23, 52, 0, 0, 0, 24, 33, 0, -1, 1, 24, 40, 0, -1, 0, 24, 44, 0, -1, 1, 24, 45, 0, 0, 0, 24, 48, 0, 0, 0, 24, 49, 1, 0, 0, 24, 52, 0, 0, 0, 24, 53, 0, 0, 0, 24, 54, 0, 0, 0, 24, 55, 0, 0, 0, 25, 54, 0, 1, 0, 26, 46, 0, 0, 0, 26, 50, 0, 1, 0, 26, 52, -1, 0, 0, 26, 54, 0, 1, 0, 27, 50, 1, 1, 0, 28, 44, 0, 0, 1, 29, 42, 1, 0, 1, 30, 34, 0, -1, 1, 31, 35, 0, -1, 1, 32, 56, 0, 0, 0, 32, 57, 0, 0, 0, 33, 58, 0, 0, 0, 33, 59, 0, 0, 0, 34, 60, 0, 0, 0, 35, 61, 0, 0, 0, 36, 56, 0, 0, 0, 36, 62, 0, 0, 0, 36, 63, 0, 0, 0, 37, 58, 0, 0, 0, 37, 62, 1, 0, 0, 37, 64, 0, 0, 0, 38, 57, 0, 0, 0, 39, 59, 0, 0, 0, 40, 60, 0, 0, 0, 40, 63, 0, 0, 0, 41, 61, 0, 0, 0, 41, 64, 0, 0, 0, 42, 57, 0, 0, 0, 43, 61, -1, -1, 0, 44, 59, 0, 0, 0, 45, 60, 0, -1, 0, 46, 65, 0, 0, 0, 47, 62, 0, -1, 0, 47, 64, -1, -1, 0, 47, 66, 0, 0, 0, 48, 66, 0, 0, 0, 48, 67, 0, 0, 0, 49, 65, 0, 0, 0, 49, 68, 0, 0, 0, 50, 67, 0, 0, 0, 51, 56, 0, -1, 1, 51, 62, 0, -1, 1, 51, 68, 0, 0, 0, 52, 65, 1, 0, 0, 53, 62, 0, -1, 0, 53, 63, 0, -1, 0, 53, 66, 0, 0, 0, 54, 67, 0, 0, 0, 55, 58, 0, -1, 1, 55, 62, 1, -1, 1, 55, 68, 1, 0, 0)

## Geometric data

### Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Spacegroup: Fd-3m

Parameters:

a b c alpha beta gamma
7.44658 7.44658 7.44658 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0.5
0 0.11919 0.38081
0.0814 0.0814 0.35465
0 0 0
0.125 0.125 0.30233

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: Fd-3m

Parameters:

a b c alpha beta gamma
5.65809 5.65809 5.65809 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0.5
0 0.125 0.375
6E-05 6E-05 0.25005
0 0 0
0.125 0.125 0.25037

Edge end points:

## Hyperbolic sources

### h-nets with faithful topology

1 record listed.
Image h-net name Orbifold symbol Transitivity (Vert,Edge,Face) Vertex Degree 2D Vertex Symbol
hqc2075 *266 (5,5,2) {6,4,3,12,4} {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4....

### h-nets with edge collapse

No items to display.