# s-net: sqc10862

## Topological data

 Vertices per primitive translational unit 28 Edges per primitive translational unit 48 Transitivity (vertex,edge) (5,7) Vertex degrees {4,3,3,4,4} Vertex coordination sequence [(4, 10, 14, 26, 45, 85, 156, 263, 365, 533), (3, 7, 14, 26, 52, 94, 173, 268, 390, 556), (3, 7, 16, 32, 61, 114, 195, 294, 426, 590), (4, 10, 25, 52, 100, 166, 259, 384, 523, 716), (4, 12, 30, 62, 115, 195, 298, 429, 593, 767)] Wellsâ€™ vertex symbol [5^4.8^2, 5^2.7, 5.7^2, 6.7^4.12, 6^2.7^2.9.10] Systre key (3, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 3, 7, 0, 0, 0, 3, 8, 0, 0, 0, 3, 9, 0, 0, 0, 4, 10, 0, 0, 0, 4, 11, 0, 0, 0, 4, 12, 0, 0, 0, 5, 12, 0, 1, 0, 5, 13, 0, 0, 0, 5, 14, 0, 0, 0, 6, 8, 0, 0, 1, 6, 15, 0, 0, 0, 6, 16, 0, 0, 0, 7, 17, 0, 0, 0, 7, 18, 0, 0, 0, 8, 12, 0, 0, -1, 8, 12, 1, 1, 0, 9, 19, 0, 0, 0, 9, 20, 0, 0, 0, 10, 19, 0, 0, 1, 10, 21, 0, 0, 0, 11, 17, -1, -1, 0, 11, 22, 0, 0, 0, 13, 21, -1, 0, 0, 13, 23, 0, 0, 0, 14, 22, 0, 0, 0, 14, 24, 0, 0, 0, 15, 18, 0, 0, 0, 15, 24, 1, 0, 1, 16, 20, -1, 0, 0, 16, 23, 0, -1, 0, 17, 25, 0, 0, 0, 18, 26, 0, 0, 0, 19, 25, 0, -1, 0, 20, 26, 0, -1, 0, 21, 27, 0, 0, 0, 22, 27, -1, 0, -1, 23, 28, 0, 0, 0, 24, 28, 0, 0, -1, 25, 26, 0, 0, 0, 25, 27, 0, 1, -1, 26, 28, 1, 0, 0, 27, 28, 1, 0, 0)

## Geometric data

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

Spacegroup: I4122

Parameters:

a b c alpha beta gamma
4.47584 4.47584 4.79119 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.73352 0.25 0.125
0.71703 0.17857 0.025
0.18407 0.60165 0.15
0.09066 0.09066 0
0.03022 0.25 0.125

Edge end points:

### Systre coordinates favouring equal edge-lengths

Spacegroup: I4122

Parameters:

a b c alpha beta gamma
2.03943 2.03943 4.03501 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.24977 0.75 0.125
0.0859 0.25694 0.05454
0.21894 0.13908 0.19037
0.3958 0.3958 0
1E-05 0.25 0.125

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
hqc2026 *22222 (5,6,2) {4,3,3,4,4} {5.5.5.5}{5.7.5}{5.7.7}{7.7.7.7}...

### h-nets with edge collapse

No items to display.