s-net: sqc5579
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| Systre crystallographic geometry file (.cgd) |
Other names
| RCSR name | lcs |
| Keywords | lattice complex S*, sphere packing |
| Fisher-Koch-Sowa symbol | 4/6/c3 |
Links to this net in other databases
| RCSR | topcryst |
Topological data
| Vertices per primitive translational unit | 12 |
| Edges per primitive translational unit | 24 |
| Transitivity (vertex,edge) | (1,1) |
| Vertex degrees | {4} |
| Vertex coordination sequence | [(4, 12, 26, 48, 76, 110, 146, 192, 244, 302)] |
| Wells’ vertex symbol | [6^6] |
| Systre key | (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 2, 6, 0, 0, 0, 2, 7, 0, 0, 0, 2, 8, 0, 0, 0, 3, 6, 1, 0, 0, 3, 9, 0, 0, 0, 3, 10, 0, 0, 0, 4, 6, 0, 0, 1, 4, 9, 0, 1, 0, 4, 10, -1, 0, 0, 5, 6, 0, -1, 1, 5, 7, -1, -1, 1, 5, 8, 0, 0, 1, 7, 11, 0, 0, 0, 7, 12, 0, 0, 0, 8, 11, -1, -1, 1, 8, 12, 0, -1, 0, 9, 11, 0, -1, 1, 9, 12, 0, -1, 0, 10, 11, 0, 0, 1, 10, 12, 0, -1, 1) |
Geometric data
Systre equilibrium placement (barycentric embedding) maximising unit cell volume
Spacegroup: Ia-3d
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.26599 | 3.26599 | 3.26599 | 90.0 | 90.0 | 90.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.25 | 0.375 |
Edge end points:
Systre coordinates favouring equal edge-lengths
Spacegroup: Ia-3d
Parameters:
| a | b | c | alpha | beta | gamma |
|---|---|---|---|---|---|
| 3.26599 | 3.26599 | 3.26599 | 90.0 | 90.0 | 90.0 |
Vertex positions:
| X-pos | Y-pos | Z-pos |
|---|---|---|
| 0 | 0.25 | 0.375 |
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 |
|---|---|---|---|---|---|
 |
hqc9 | *246 | (1,1,1) | {4} | {6.6.6.6} |