# s-net: sqc5687

## Topological data

 Vertices per primitive translational unit 12 Edges per primitive translational unit 26 Transitivity (vertex,edge) (2,6) Vertex degrees {7,3} Vertex coordination sequence [(7, 23, 52, 97, 159, 236, 329, 439, 564, 705), (3, 7, 21, 51, 97, 159, 236, 329, 439, 564)] Wellsâ€™ vertex symbol [3.4^9.5^2.6^7.8^2, 3.4.5] 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, 1, 6, 0, 0, 0, 2, 2, -1, 0, 0, 2, 3, 0, 1, 0, 2, 6, 0, 1, 0, 2, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 3, -1, 0, 0, 3, 6, 0, 0, 1, 3, 9, 0, 0, 0, 3, 10, 0, 0, 0, 4, 5, 0, 0, 0, 4, 9, 0, 0, 0, 5, 11, 0, 0, 0, 6, 6, -1, 0, 0, 6, 11, 0, 0, 0, 6, 12, 0, 0, 0, 7, 8, 0, 0, 0, 7, 10, 0, 1, 0, 8, 12, 0, 1, 0, 9, 10, 0, 0, 0, 11, 12, 0, 0, 0)

## Geometric data

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

Spacegroup: P4/mmm

Parameters:

a b c alpha beta gamma
4.85643 4.85643 1.86258 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0.20588 0.5
0.02941 0.11765 0.5

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: P4/mmm

Parameters:

a b c alpha beta gamma
2.44698 2.44698 0.99535 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0.29276 0.5
0.13666 0.15323 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
hqc2173 *2224 (2,6,5) {7,3} {4.4.4.3.4.4.4}{4.8.3}
hqc2181 *2244 (2,6,5) {7,3} {4.8.4.3.4.8.4}{4.8.3}

### h-nets with edge collapse

No items to display.