# s-net: sqc4198

## Topological data

 Vertices per primitive translational unit 12 Edges per primitive translational unit 22 Transitivity (vertex,edge) (4,6) Vertex degrees {4,3,4,4} Vertex coordination sequence [(4, 10, 22, 44, 84, 138, 190, 248, 334, 430), (3, 9, 21, 40, 79, 126, 183, 254, 330, 424), (4, 12, 24, 40, 68, 116, 176, 240, 308, 400), (4, 10, 26, 52, 86, 134, 204, 276, 350, 434)] Wellsâ€™ vertex symbol [5^2.6^2.7^2, 5.7^2, 5^4.8^2, 7^4.11^2] Systre key (3, 1, 1, -1, 0, 0, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 2, 4, 0, 0, 0, 2, 5, 0, 0, 0, 3, 6, 0, 0, 0, 3, 7, 0, 0, 0, 4, 7, 0, 1, 0, 4, 8, 0, 0, 0, 4, 9, 0, 0, 0, 5, 6, -1, 1, 0, 5, 8, -1, 0, 0, 5, 10, 0, 0, 0, 6, 10, 0, 0, 1, 6, 11, 0, 0, 0, 7, 9, -1, 0, 1, 7, 11, -1, 0, 0, 8, 12, 0, 0, 0, 9, 10, 0, 0, 0, 9, 10, 1, 0, 0, 11, 12, 0, -1, 1, 12, 12, -1, 0, 0)

## Geometric data

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

Spacegroup: Imma

Parameters:

a b c alpha beta gamma
1.62534 3.40867 6.8987 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.25 0.06818 0.25
0 0.04545 0.16667
0.25 0.25 0.75
0 0 0

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: Imma

Parameters:

a b c alpha beta gamma
1.12681 3.1036 8.0523 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.25 0.08334 0.25
0 0.04314 0.12738
0.25 0.25 0.75
0 0 0

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
hqc1776 *222222 (4,6,2) {4,3,4,4} {6.8.8.6}{6.8.8}{8.8.8.8}{8.8.8.8}
hqc1780 *222222 (4,6,2) {4,4,3,4} {5.5.5.5}{5.12.12.5}{5.12.12}{12...

### h-nets with edge collapse

No items to display.