s-net: sqc12909


  
Barycentric geometry maximising unit cell volume
 Systre crystallographic geometry file (.cgd)

Links to this net in other databases

topcryst

Topological data

Vertices per primitive translational unit 38
Edges per primitive translational unit 78
Transitivity (vertex,edge)(5,7)
Vertex degrees {6,4,4,4,3}
Vertex coordination sequence [(6, 24, 66, 121, 224, 340, 481, 659, 844, 1057), (4, 8, 26, 70, 127, 237, 368, 500, 688, 885), (4, 5, 17, 43, 113, 199, 325, 475, 636, 834), (4, 4, 14, 48, 106, 190, 316, 466, 618, 816), (3, 9, 9, 25, 90, 190, 310, 425, 604, 793)]
Wells’ vertex symbol [7^9.11^3.12^3, 3^2.4.7^3, 3^2.4.7^2.8, 3^4.4^2, 7^3]
Systre key (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 1, 5, 0, 0, 0, 1, 6, 0, 0, 0, 1, 7, 0, 0, 0, 2, 3, 0, 1, 0, 2, 4, 1, 0, 0, 2, 8, 0, 0, 0, 2, 9, 0, 0, 0, 2, 10, 0, 0, 0, 3, 4, 0, 0, 1, 3, 11, 0, 0, 0, 3, 12, 0, 0, 0, 3, 13, 0, 0, 0, 4, 14, 0, 0, 0, 4, 15, 0, 0, 0, 4, 16, 0, 0, 0, 5, 17, 0, 0, 0, 5, 18, 0, 0, 0, 5, 19, 0, 0, 0, 6, 20, 0, 0, 0, 6, 21, 0, 0, 0, 6, 22, 0, 0, 0, 7, 23, 0, 0, 0, 7, 24, 0, 0, 0, 7, 25, 0, 0, 0, 8, 23, 1, 0, -1, 8, 24, 1, 0, -1, 8, 25, 1, 0, -1, 9, 26, 0, 0, 0, 9, 27, 0, 0, 0, 9, 28, 0, 0, 0, 10, 29, 0, 0, 0, 10, 30, 0, 0, 0, 10, 31, 0, 0, 0, 11, 20, 1, -1, 0, 11, 21, 1, -1, 0, 11, 22, 1, -1, 0, 12, 32, 0, 0, 0, 12, 33, 0, 0, 0, 12, 34, 0, 0, 0, 13, 26, 0, 0, 1, 13, 27, 0, 0, 1, 13, 28, 0, 0, 1, 14, 17, 0, -1, -1, 14, 18, 0, -1, -1, 14, 19, 0, -1, -1, 15, 29, 0, -1, 0, 15, 30, 0, -1, 0, 15, 31, 0, -1, 0, 16, 32, -1, 0, 0, 16, 33, -1, 0, 0, 16, 34, -1, 0, 0, 17, 18, 0, 0, 0, 17, 35, 0, 0, 0, 18, 19, 0, 0, 0, 19, 36, 0, 0, 0, 20, 21, 0, 0, 0, 20, 37, 0, 0, 0, 21, 22, 0, 0, 0, 22, 35, -1, 0, 0, 23, 24, 0, 0, 0, 23, 36, 0, -1, 0, 24, 25, 0, 0, 0, 25, 37, 0, 0, 1, 26, 27, 0, 0, 0, 26, 38, 0, 0, 0, 27, 28, 0, 0, 0, 28, 37, 0, 0, 0, 29, 30, 0, 0, 0, 29, 38, 0, 1, 0, 30, 31, 0, 0, 0, 31, 36, 0, 0, 0, 32, 33, 0, 0, 0, 32, 34, 0, 0, 0, 33, 35, 0, 0, 0, 34, 38, 0, 0, 0)

Geometric data

Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Spacegroup: I213

Parameters:

a b c alpha beta gamma
6.61815 6.61815 6.61815 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.07463 0.07463 0.07463
0.01866 0.16884 0.32743
0.04757 0.23507 0.28825
0 0.25 0.30784
0.1903 0.1903 0.1903

Edge end points:

Systre coordinates favouring equal edge-lengths

Spacegroup: I213

Parameters:

a b c alpha beta gamma
2.89948 2.89948 2.89948 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.12522 0.12522 0.12522
0.17922 0.41353 0.28096
0.03164 0.37558 0.28035
0 0.25 0.59924
0.27689 0.27689 0.27689

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
Net details hqc2260 *2323 (5,6,2) {6,4,4,4,3} {7.7.7.7.7.7}{7.3.3.7}{7.7.3.3}{...

h-nets with edge collapse

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