# s-net: sqc6843

## Topological data

 Vertices per primitive translational unit 16 Edges per primitive translational unit 28 Transitivity (vertex,edge) (3,5) Vertex degrees {4,4,3} Vertex coordination sequence [(4, 12, 32, 72, 162, 304, 502, 784, 1190, 1740), (4, 10, 26, 62, 134, 256, 440, 716, 1096, 1576), (3, 7, 18, 42, 100, 194, 342, 578, 919, 1365)] Wellsâ€™ vertex symbol [7^4.10.12, 7^4.10^2, 7^3] Systre key (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 2, 2, -1, 0, 0, 2, 6, 0, 0, 0, 3, 3, 0, -1, 0, 3, 6, 0, 0, 1, 4, 7, 0, 0, 0, 4, 8, 0, 0, 0, 5, 7, -1, 0, 0, 5, 8, 0, 1, 0, 6, 9, 0, 0, 0, 6, 10, 0, 0, 0, 7, 11, 0, 0, 0, 8, 11, -1, 0, 1, 9, 12, 0, 0, 0, 9, 13, 0, 0, 0, 10, 12, -1, 0, 0, 10, 13, 0, 1, 0, 11, 14, 0, 0, 0, 11, 15, 0, 0, 0, 12, 16, 0, 0, 0, 13, 16, 0, -1, -1, 14, 14, -1, 0, 1, 14, 16, 0, -1, -1, 15, 15, 0, -1, -1, 15, 16, 0, -1, 0)

## Geometric data

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

Spacegroup: Ibca

Parameters:

a b c alpha beta gamma
3.11033 2.65206 2.8782 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0
0 0.25 0.05556
0.16667 0.41667 0.11111

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: Ibca

Parameters:

a b c alpha beta gamma
1.62149 1.76601 1.62125 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0
0 0.25 0.07295
0.00765 0.40195 0.04673

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
hqc553 2*222 (3,4,1) {4,4,3} {7.7.7.7}{7.7.7.7}{7.7.7}

### h-nets with edge collapse

No items to display.