s-net: sqc12873


 
Systre crystallographic geometry file (.cgd)

Other names

RCSR name sod-h
Keywords sphere packing
Fisher-Koch-Sowa symbol 3/4/c8

Links to this net in other databases

RCSR topcryst

Topological data

Vertices per primitive translational unit 48
Edges per primitive translational unit 72
Transitivity (vertex,edge)(1,3)
Vertex degrees {3}
Vertex coordination sequence [(3, 5, 8, 12, 17, 24, 33, 45, 58, 72)]
Wells’ vertex symbol [4.8.10]
Systre key (3, 1, 2, 0, 0, 0, 1, 3, 0, 0, 0, 1, 4, 0, 0, 0, 2, 5, 0, 0, 0, 2, 6, 0, 0, 0, 3, 5, 0, 0, 0, 3, 7, 0, 0, 0, 4, 8, 0, 0, 0, 4, 9, 0, 0, 0, 5, 10, 0, 0, 0, 6, 11, 0, 0, 0, 6, 12, 0, 0, 0, 7, 13, 0, 0, 0, 7, 14, 0, 0, 0, 8, 15, 0, 0, 0, 8, 16, 0, 0, 0, 9, 15, 0, 0, 0, 9, 17, 0, 0, 0, 10, 18, 0, 0, 0, 10, 19, 0, 0, 0, 11, 20, 0, 0, 0, 11, 21, 0, 0, 0, 12, 21, 0, 0, 0, 12, 22, 0, 0, 0, 13, 23, 0, 0, 0, 13, 24, 0, 0, 0, 14, 24, 0, 0, 0, 14, 25, 0, 0, 0, 15, 26, 0, 0, 0, 16, 22, 0, 0, 0, 16, 27, 0, 0, 0, 17, 28, 0, 0, 0, 17, 29, 0, 0, 0, 18, 30, 0, 0, 0, 18, 31, 0, 0, 0, 19, 27, 1, 0, 0, 19, 31, 0, 0, 0, 20, 26, 0, 1, 0, 20, 32, 0, 0, 0, 21, 28, 0, 1, 0, 22, 23, -1, 0, 0, 23, 27, 1, 0, 0, 24, 33, 0, 0, 0, 25, 34, 0, 0, 0, 25, 35, 0, 0, 0, 26, 36, 0, 0, 0, 28, 37, 0, 0, 0, 29, 37, 0, 0, 0, 29, 38, 0, 0, 0, 30, 33, 0, 0, 1, 30, 39, 0, 0, 0, 31, 34, 0, 0, 1, 32, 36, 0, 1, 0, 32, 40, 0, 0, 0, 33, 41, 0, 0, 0, 34, 42, 0, 0, 0, 35, 42, 0, 0, 0, 35, 43, 0, 0, 0, 36, 44, 0, 0, 0, 37, 45, 0, 0, 0, 38, 40, 0, -1, -1, 38, 43, 0, 0, 0, 39, 41, 0, 0, 1, 39, 46, 0, 0, 0, 40, 46, 0, 0, 0, 41, 47, 0, 0, 0, 42, 48, 0, 0, 0, 43, 46, 0, -1, -1, 44, 45, 0, 0, 1, 44, 48, -1, 0, 1, 45, 47, -1, -1, 0, 47, 48, 0, 1, 0)

Geometric data

Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Spacegroup: Pn-3m

Parameters:

a b c alpha beta gamma
6.89034 6.89034 6.89034 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.06667 0.2 0.73333

Edge end points:

Systre coordinates favouring equal edge-lengths

Spacegroup: Pn-3m

Parameters:

a b c alpha beta gamma
6.52396 6.52396 6.52396 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0.07081 0.1792 0.72066

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 hqc183 *246 (1,3,3) {3} {4.12.8}

h-nets with edge collapse

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