Euclidean Patterns in Non-Euclidean Tilings

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hqc607

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« hqc606 hqc608 »

Orbifold Symbol: *2223

Dual Net: hqc809

Vertex Degree: {5,9}

Transitivity
Vertex-2 Edge-4 Face-3
Vertex Symbol
{4.3.3.3.4}{3.3.3.3.3.3.3.3.3}
Delaney Dress Symbol
<607.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 3 3,5 9>

This hnet is generated by the following 1 Subgroup Tiling(s):
Image Tiling Orbifold Symbol Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol
Full image QC420 *2223 (2,4,3) {5,9} {4.3.3.3.4}{3.3.3.3.3.3.3.3.3}

And generates the following 3 Systre Net(s):
Image Network Space Group Space Group Number Symmetry Class Chiral Vertex Degree Nodes/Primitive Unit Cell Transitivity (Vertex,Edge)
Full image sqc10946 P4232 208 cubic Y {5,9} 16 (2,4)
Full image sqc13322 I4132 214 cubic Y {5,9} 32 (2,5)
Full image sqc13323 Pm-3m 221 cubic N {5,9} 32 (2,4)