# s-net: sqc9125

## Topological data

 Vertices per primitive translational unit 19 Edges per primitive translational unit 36 Transitivity (vertex,edge) (3,3) Vertex degrees {4,4,3} Vertex coordination sequence [(4, 4, 8, 24, 24, 36, 88, 78, 92, 208), (4, 5, 11, 20, 28, 48, 74, 84, 123, 172), (3, 9, 9, 15, 42, 42, 51, 120, 114, 126)] Wellsâ€™ vertex symbol [3^4.4^2, 3^2.4.12^3, 12^3] Systre key (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 2, 3, 0, 0, 0, 2, 4, 0, 0, 0, 2, 6, 0, 0, 0, 3, 6, 0, 0, 0, 3, 7, 0, 0, 0, 4, 6, 0, 0, 0, 4, 8, 0, 0, 0, 5, 9, 0, 0, 0, 5, 10, 0, 0, 0, 6, 11, 0, 0, 0, 7, 12, 0, 0, 0, 7, 13, 0, 0, 0, 8, 14, 0, 0, 0, 8, 15, 0, 0, 0, 9, 14, 1, 0, 0, 9, 16, 0, 0, 0, 9, 17, 0, 0, 0, 10, 12, 0, 1, 0, 10, 18, 0, 0, 0, 10, 19, 0, 0, 0, 11, 17, -1, 1, 1, 11, 19, 0, 0, 1, 12, 15, 0, 0, 1, 12, 18, 0, -1, 0, 13, 14, 1, -1, -1, 13, 16, 0, -1, -1, 13, 17, 0, -1, -1, 14, 16, -1, 0, 0, 15, 18, 0, -1, -1, 15, 19, 0, -1, -1, 16, 17, 0, 0, 0, 18, 19, 0, 0, 0)

## Geometric data

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

Spacegroup: P-43m

Parameters:

a b c alpha beta gamma
5.45132 5.45132 5.45132 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0.5
0.04464 0.04464 0.55357
0.17857 0.17857 0.82143

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: P-43m

Parameters:

a b c alpha beta gamma
3.70248 3.70248 3.70248 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0.5
0.15473 0.15473 0.49998
0.27312 0.27312 0.72688

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
hqc301 *344 (3,3,2) {4,3,4} {3.3.12.12}{12.12.12}{3.3.3.3}

### h-nets with edge collapse

No items to display.