# s-net: sqc7004

## Topological data

 Vertices per primitive translational unit 14 Edges per primitive translational unit 30 Transitivity (vertex,edge) (2,4) Vertex degrees {12,3} Vertex coordination sequence [(12, 66, 214, 474, 846, 1330, 1926, 2634, 3454, 4386), (3, 15, 82, 258, 548, 948, 1460, 2084, 2820, 3668)] Wellsâ€™ vertex symbol [4^12.5^12.6^9.7^30.8^3, 5^3] Systre key (3, 1, 1, -1, 0, 0, 1, 1, 0, -1, 0, 1, 1, 0, 0, -1, 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, 1, 7, 0, 0, 0, 2, 8, 0, 0, 0, 2, 9, 0, 0, 0, 3, 9, 0, -1, 0, 3, 10, 0, 0, 0, 4, 11, 0, 0, 0, 4, 12, 0, 0, 0, 5, 8, -1, 0, 0, 5, 10, 0, 0, -1, 6, 12, 0, 0, -1, 6, 13, 0, 0, 0, 7, 11, -1, 0, 0, 7, 13, 0, -1, 0, 8, 14, 0, 0, 0, 9, 14, 0, 1, 0, 10, 14, 0, 0, 1, 11, 14, 0, 1, 1, 12, 14, -1, 1, 1, 13, 14, -1, 1, 1, 14, 14, -1, 0, 0, 14, 14, 0, -1, 0, 14, 14, 0, 0, -1)

## Geometric data

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

Spacegroup: R-3c

Parameters:

a b c alpha beta gamma
3.04926 3.04926 3.17629 90.0 90.0 120.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0
0.16667 0.20833 0.13333

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: R-3c

Parameters:

a b c alpha beta gamma
1.83621 1.83621 2.26165 90.0 90.0 120.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0
0.24435 0.21738 0.09829

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
hqc179 2*26 (2,3,1) {12,3} {5.5.5.5.5.5.5.5.5.5.5.5}{5.5.5}

### h-nets with edge collapse

No items to display.