# s-net: sqc13518

## Topological data

 Vertices per primitive translational unit 52 Edges per primitive translational unit 96 Transitivity (vertex,edge) (5,6) Vertex degrees {4,4,3,4,4} Vertex coordination sequence [(4, 12, 20, 32, 44, 90, 108, 164, 172, 242), (4, 8, 18, 28, 54, 70, 116, 134, 202, 208), (3, 7, 12, 27, 43, 76, 90, 148, 168, 243), (4, 8, 12, 28, 44, 70, 86, 146, 166, 240), (4, 6, 10, 18, 44, 63, 88, 106, 184, 195)] Wellsâ€™ vertex symbol [8^4.12^2, 4^2.6.8^2.10, 4^2.6, 4^4.6^2, 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, 2, 6, 0, 0, 0, 2, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 7, 0, 0, 0, 3, 9, 0, 0, 0, 3, 10, 0, 0, 0, 4, 8, 0, 0, 0, 4, 11, 0, 0, 0, 4, 12, 0, 0, 0, 5, 10, 0, 0, 0, 5, 12, 0, 0, 0, 5, 13, 0, 0, 0, 6, 14, 0, 0, 0, 6, 15, 0, 0, 0, 6, 16, 0, 0, 0, 7, 15, 0, 0, 0, 8, 16, 0, 0, 0, 9, 17, 0, 0, 0, 9, 18, 0, 0, 0, 9, 19, 0, 0, 0, 10, 20, 0, 0, 0, 11, 21, 0, 0, 0, 11, 22, 0, 0, 0, 11, 23, 0, 0, 0, 12, 24, 0, 0, 0, 13, 20, 0, 0, 0, 13, 24, 0, 0, 0, 13, 25, 0, 0, 0, 14, 26, 0, 0, 0, 14, 27, 0, 0, 0, 14, 28, 0, 0, 0, 15, 27, 0, 0, 0, 15, 29, 0, 0, 0, 16, 28, 0, 0, 0, 16, 30, 0, 0, 0, 17, 31, 0, 0, 0, 17, 32, 0, 0, 0, 17, 33, 0, 0, 0, 18, 34, 0, 0, 0, 18, 35, 0, 0, 0, 18, 36, 0, 0, 0, 19, 26, 1, 0, 0, 19, 27, 1, 0, 0, 19, 37, 0, 0, 0, 20, 29, 0, 1, 0, 20, 37, 0, 0, 1, 21, 26, 1, -1, 1, 21, 28, 1, -1, 1, 21, 38, 0, 0, 0, 22, 32, 0, 0, 1, 22, 39, 0, 0, 0, 22, 40, 0, 0, 0, 23, 35, 1, -1, 1, 23, 41, 0, 0, 0, 23, 42, 0, 0, 0, 24, 30, 1, 0, 0, 24, 38, 0, 1, 0, 25, 26, 1, 0, 1, 25, 37, 0, 0, 1, 25, 38, 0, 1, 0, 29, 43, 0, 0, 0, 29, 44, 0, 0, 0, 30, 45, 0, 0, 0, 30, 46, 0, 0, 0, 31, 44, 0, 0, 0, 31, 47, 0, 0, 0, 32, 47, 0, 0, 0, 32, 48, 0, 0, 0, 33, 43, 1, 0, 0, 33, 48, 0, 0, 0, 34, 43, 0, 1, -1, 34, 49, 0, 0, 0, 35, 49, 0, 0, 0, 35, 50, 0, 0, 0, 36, 44, 0, 1, 0, 36, 50, 0, 0, 0, 39, 45, 0, 0, 0, 39, 47, 0, 0, 1, 40, 46, 1, -1, 1, 40, 48, 0, 0, 1, 41, 46, 1, -1, 0, 41, 49, 1, -1, 1, 42, 45, 1, 0, 0, 42, 50, 1, -1, 1, 43, 51, 0, 0, 0, 44, 52, 0, 0, 0, 45, 52, 0, 0, 1, 46, 51, 0, 1, 0, 47, 52, 0, 0, 0, 48, 51, 1, 0, 0, 49, 51, 0, 1, -1, 50, 52, 0, 1, 0)

## Geometric data

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

Spacegroup: I41/acd

Parameters:

a b c alpha beta gamma
7.78034 7.78034 6.52475 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0.25 0.375
0.35625 0.075 0.20312
0.275 0.075 0.34375
0.325 0 0.25
0.29375 0.04375 0.375

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: I41/acd

Parameters:

a b c alpha beta gamma
5.65784 5.65784 5.65509 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0.25 0.375
0.37457 0.12547 0.12547
0.12419 0.00098 6E-05
0.25 0.37412 0
0.25087 0.00087 0.375

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
hqc2080 *2224 (5,5,2) {4,4,3,4,4} {8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4....

### h-nets with edge collapse

No items to display.