# s-net: sqc8540

## Topological data

 Vertices per primitive translational unit 15 Edges per primitive translational unit 36 Transitivity (vertex,edge) (2,3) Vertex degrees {3,12} Vertex coordination sequence [(3, 12, 60, 187, 398, 684, 1006, 1492, 1902, 2612), (12, 62, 188, 398, 684, 1006, 1492, 1902, 2612, 3086)] Wellsâ€™ vertex symbol [4^3, 3^8.4^16.5^24.6^12.7^4.8^2] Systre key (3, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 1, 0, 1, 4, 1, 0, 0, 1, 4, 1, 1, 0, 1, 5, 0, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 2, 4, 0, 0, -1, 2, 4, 0, 0, 0, 2, 4, 0, 1, -1, 2, 4, 0, 1, 0, 2, 8, 0, 0, 0, 2, 9, 0, 0, 0, 2, 10, 0, 0, 0, 2, 11, 0, 0, 0, 3, 8, 1, 0, 0, 3, 11, 0, 0, 0, 4, 12, 0, 0, 0, 4, 13, 0, 0, 0, 4, 14, 0, 0, 0, 4, 15, 0, 0, 0, 5, 13, 1, 0, 0, 5, 14, 0, 0, 0, 6, 13, 1, 1, 0, 6, 14, 0, 1, 0, 7, 8, 1, 0, 1, 7, 11, 0, 0, 1, 9, 12, 0, 0, 0, 9, 15, 0, 0, -1, 10, 12, 0, 1, 0, 10, 15, 0, 1, -1)

## Geometric data

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

Spacegroup: Pm-3m

Parameters:

a b c alpha beta gamma
2.35083 2.35083 2.35083 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0.16667 0.5
0 0.5 0.5

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: Pm-3m

Parameters:

a b c alpha beta gamma
1.38817 1.38817 1.38817 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0.39516 0.5
0 0.5 0.5

Edge end points:

## Hyperbolic sources

### h-nets with faithful topology

2 records listed.
Image h-net name Orbifold symbol Transitivity (Vert,Edge,Face) Vertex Degree 2D Vertex Symbol
hqc219 *446 (2,3,3) {3,12} {4.4.4}{4.6.4.4.6.4.4.6.4.4.6.4}
hqc214 *344 (2,3,3) {12,3} {3.4.4.3.4.4.3.4.4.3.4.4}{4.4.4}

### h-nets with edge collapse

No items to display.