s-net: sqc4540
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 8 |
| Edges per primitive translational unit | 22 |
| Transitivity (vertex,edge) | (4,5) |
| Vertex degrees | {4,6,8,4} |
| Vertex coordination sequence | [(4, 20, 56, 138, 216, 374, 494, 726, 894, 1190), (6, 22, 54, 158, 198, 388, 478, 774, 878, 1234), (8, 20, 72, 124, 252, 340, 556, 680, 972, 1136), (4, 16, 44, 128, 196, 356, 468, 704, 876, 1180)] |
| Wells’ vertex symbol | [5^4.7.8, 3^4.4^2.5^2.6^4.7^3, 3^4.4^2.5^4.6^4.7^5.8^4.9^4.10, 3^4.4^2] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 4, 0, 1, 0, 1, 5, 0, 0, 0, 2, 3, -2, -1, 0, 2, 3, 0, 0, 0, 2, 6, 0, 0, 0, 2, 6, 2, 1, 0, 2, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 6, 2, 1, 0, 4, 5, 0, -1, 0, 4, 5, 0, 0, 0, 4, 6, 0, 0, 1, 4, 6, 0, 1, 1, 4, 7, -1, 0, 1, 4, 8, 1, 0, 0, 5, 6, 0, 1, 1, 7, 7, -1, -1, 0, 8, 8, -1, 0, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: P4222
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.39624 | 1.39624 | 2.79248 | 90.0 | 90.0 | 90.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.5 | 0.5 | 0 |
| 0 | 0 | 0.25 |
| 0.5 | 0.5 | 0.25 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: P4222
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 1.06596 | 1.06596 | 3.6739 | 90.0 | 90.0 | 90.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0 | 0 |
| 0.5 | 0.5 | 0 |
| 0 | 0 | 0.25 |
| 0.5 | 0.5 | 0.25 |
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 |
|---|---|---|---|---|---|
 |
hqc1848 | *22222 | (4,5,2) | {4,8,6,4} | {5.5.5.5}{5.3.3.5.5.3.3.5}{5.3.3... |