# s-net: sqc8456

## Topological data

 Vertices per primitive translational unit 20 Edges per primitive translational unit 36 Transitivity (vertex,edge) (2,4) Vertex degrees {6,3} Vertex coordination sequence [(6, 14, 26, 58, 132, 258, 434, 650, 898, 1178), (3, 8, 20, 42, 88, 172, 313, 513, 752, 1024)] Wellsâ€™ vertex symbol [4^4.6^2.10^2.11^2.12^4.14, 4.8.10] Systre key (3, 1, 1, -1, 0, 0, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 2, 4, 1, 0, 0, 2, 6, 0, 0, 0, 3, 5, 1, 0, 0, 3, 7, 0, 0, 0, 4, 8, 0, 0, 0, 5, 9, 0, 0, 0, 6, 10, 0, 0, 0, 6, 11, 0, 0, 0, 7, 12, 0, 0, 0, 7, 13, 0, 0, 0, 8, 13, 0, 1, 0, 8, 14, 0, 0, 0, 9, 11, -1, -1, 0, 9, 15, 0, 0, 0, 10, 11, 0, 0, 1, 10, 16, 0, 0, 0, 11, 11, 0, 0, -1, 11, 15, 1, 1, 1, 12, 13, 0, 0, -1, 12, 17, 0, 0, 0, 13, 13, 0, 0, -1, 13, 14, 0, -1, -1, 14, 18, 0, 0, 0, 15, 19, 0, 0, 0, 16, 18, 1, 0, 0, 16, 20, 0, 0, 0, 17, 19, 1, 0, 0, 17, 20, 0, 0, -1, 18, 20, 0, 0, 0, 19, 20, 0, 0, -1, 20, 20, -1, 0, 0)

## Geometric data

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

Spacegroup: I41/amd

Parameters:

a b c alpha beta gamma
2.02433 2.02433 9.08077 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0.5
0.17857 0.53571 0.08333

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: I41/amd

Parameters:

a b c alpha beta gamma
1.26692 1.26692 11.44388 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0.5
2E-05 0.06112 0.3327

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
hqc1024 *2244 (2,4,3) {3,6} {8.4.12}{12.4.4.12.4.4}

### h-nets with edge collapse

No items to display.