# s-net: sqc9173

## Topological data

 Vertices per primitive translational unit 20 Edges per primitive translational unit 36 Transitivity (vertex,edge) (4,4) Vertex degrees {3,4,4,4} Vertex coordination sequence [(3, 7, 13, 23, 36, 47, 69, 99, 125, 148), (4, 7, 12, 20, 32, 53, 69, 88, 115, 141), (4, 6, 8, 18, 32, 42, 60, 82, 108, 142), (4, 10, 12, 18, 40, 58, 76, 86, 96, 158)] Wellsâ€™ vertex symbol [4.10^2, 4^3.6^3, 4^6, 4^2.10^4] 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, 6, 0, 0, 0, 3, 7, 1, 0, 0, 3, 8, 1, 0, 0, 4, 7, 0, 0, 0, 4, 9, 0, 0, 0, 5, 8, 0, 0, 0, 5, 10, 0, 0, 0, 6, 11, 0, 0, 0, 6, 12, 0, 0, 0, 7, 11, 0, 0, 0, 8, 12, 0, 0, 0, 9, 13, 0, 0, 0, 9, 14, 0, 0, 0, 10, 13, 0, 1, 0, 10, 15, 0, 0, 0, 11, 16, 0, 0, 0, 12, 17, 0, 0, 0, 13, 18, 0, 0, 0, 13, 19, 0, 0, 0, 14, 16, 0, 0, 1, 14, 18, 1, 0, 0, 14, 19, 0, 0, 0, 15, 17, 0, 0, 1, 15, 18, 1, 1, 0, 15, 19, 0, 1, 0, 16, 20, 0, 0, 0, 17, 20, 0, 1, 0, 18, 20, 0, 0, 1, 19, 20, 0, 0, 1)

## Geometric data

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

Spacegroup: P4/nmm

Parameters:

a b c alpha beta gamma
5.5661 5.5661 2.97604 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.10714 0.60714 0
0.25 0.67857 0.125
0.25 0.75 0
0.25 0.75 0.5

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: P4/nmm

Parameters:

a b c alpha beta gamma
4.44267 4.44267 2.61345 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.07958 0.57958 0
0.25 0.5796 0.24998
0.25 0.75 0
0.25 0.75 0.5

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
hqc1250 *2244 (4,4,2) {3,4,4,4} {10.4.10}{10.10.4.4}{4.4.4.4}{10...

### h-nets with edge collapse

No items to display.