s-net: sqc3587


 
Systre crystallographic geometry file (.cgd)

Other names

Keywords sphere packing
Fisher-Koch-Sowa symbol 5/4/t48

Links to this net in other databases

topcryst

Topological data

Vertices per primitive translational unit 8
Edges per primitive translational unit 20
Transitivity (vertex,edge)(1,3)
Vertex degrees {5}
Vertex coordination sequence [(5, 17, 40, 75, 116, 163, 226, 292, 370, 456)]
Wells’ vertex symbol [4^3.5^5.6^2]
Systre key (3, 1, 2, 0, 0, 0, 1, 2, 1, 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, 4, 0, 1, 0, 3, 5, -1, 0, 0, 3, 6, 0, -1, 1, 3, 6, 0, 0, 1, 4, 5, 0, -1, 0, 4, 8, 0, 0, 0, 4, 8, 1, 0, 0, 5, 7, 0, -1, 1, 5, 7, 0, 0, 1, 6, 7, -1, 0, 0, 6, 8, 0, 1, 0, 7, 8, 0, 1, 0)

Geometric data

Systre equilibrium placement (barycentric embedding) maximising unit cell volume

Spacegroup: I41/amd

Parameters:

a b c alpha beta gamma
1.83503 1.83503 5.19026 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0 0.1875

Edge end points:

Systre coordinates favouring equal edge-lengths

Spacegroup: I41/amd

Parameters:

a b c alpha beta gamma
1.78047 1.78047 5.15785 90.0 90.0 90.0

Vertex positions:

X-pos Y-pos Z-pos
0 0.53082 0.20584

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 hqc128 2*222 (1,3,2) {5} {4.6.6.6.4}

h-nets with edge collapse

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