h-net: hqc720


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{4,12}
2D vertex symbol {3.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.3}
Vertex coordination sequence [(12, 66, 312, 1500, 7182, 34416, 164892), (4, 21, 122, 587, 2808, 13451, 64456)]
Delaney-Dress Symbol <720.2:8:1 2 4 6 7 8,1 3 8 5 7,2 5 6 7 8:3 4 3,4 12>
Dual net hqc846

Derived s-nets

s-nets with faithful topology

3 records listed.
Image s-net name Other names Space group Space group number Symmetry class Vertex degree(s) Vertices per primitive unit cell Transitivity (Vertex, Edge)
Full image sqc10929 P4232 208 cubic {12,4} 16 (2,4)
Full image sqc10742 I213 199 cubic {12,4} 16 (2,5)
Full image sqc10744 F-43m 216 cubic {12,4} 16 (2,4)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC974 *2323 (2,4,3) {4,12} {3.4.3.4}{4.4.3.3.4.4.3.3.4.4.3.3} Snet sqc10929 Snet sqc10742 Snet sqc10744

Symmetry-lowered hyperbolic tilings