s-net: sqc8219
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| Systre crystallographic geometry file (.cgd) |
Links to this net in other databases
| topcryst |
Topological data
| Vertices per primitive translational unit | 16 |
| Edges per primitive translational unit | 33 |
| Transitivity (vertex,edge) | (4,5) |
| Vertex degrees | {4,3,12,4} |
| Vertex coordination sequence | [(4, 16, 33, 84, 171, 268, 382, 538, 706, 878), (3, 7, 26, 46, 107, 209, 309, 426, 597, 769), (12, 24, 72, 144, 216, 324, 480, 612, 776, 1020), (4, 22, 40, 100, 198, 278, 392, 578, 718, 884)] |
| Wells’ vertex symbol | [4^2.6^4, 4^2.6, 4^12.6^18.8^30.10^6, 4^4.6^2] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 1, 5, 1, 1, 0, 1, 6, 0, 0, 0, 1, 6, 0, 1, 0, 1, 7, 0, 0, 0, 1, 7, 1, 0, 0, 1, 8, 0, 0, 0, 1, 9, 0, 0, 0, 1, 10, 0, 0, 0, 2, 10, 0, 0, 1, 2, 11, 0, 0, 0, 2, 12, 0, 0, 0, 3, 9, 0, 1, 1, 3, 12, 0, 1, 0, 3, 13, 0, 0, 0, 4, 8, 1, 1, 1, 4, 11, 1, 1, 0, 4, 13, 1, 0, 0, 5, 11, 0, 0, 0, 5, 14, 0, 0, 0, 6, 12, 0, 0, 0, 6, 15, 0, 0, 0, 7, 13, 0, 0, 0, 7, 16, 0, 0, 0, 8, 14, 0, 0, 0, 8, 16, 0, 0, 0, 9, 15, 0, 0, 0, 9, 16, 1, 0, 0, 10, 14, 1, 1, 0, 10, 15, 0, 1, 0) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.94172 | 2.94172 | 8.97757 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0.35714 | 0.17857 | 0.09091 |
| 0.10714 | 0.21429 | 0.27273 |
| 0 | 1 | 1 |
| 0 | 0.5 | 0 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: R-3m
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 2.00152 | 2.00152 | 8.3063 | 90.0 | 90.0 | 120.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0.21859 | 0.10929 | 0.11143 |
| 0.00949 | 0.01897 | 0.43424 |
| 0 | 1 | 1 |
| 0 | 0.5 | 0 |
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 |
|---|---|---|---|---|---|
 |
hqc1835 | *2626 | (4,5,2) | {4,3,12,4} | {18.4.4.18}{18.4.4}{4.4.4.4.4.4.... |