h-net: hqc578


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,6}
2D vertex symbol {3.4.4.4.4}{4.3.4.4.3.4}
Vertex coordination sequence [(5, 15, 41, 113, 308, 831, 2247, 6089, 16491, 44648), (6, 20, 56, 150, 404, 1098, 2976, 8052, 21802, 59048)]
Delaney-Dress Symbol <578.2:8:1 2 3 4 6 7 8,1 3 5 7 8,2 4 5 6 8:3 4 4 3,5 6>
Dual net hqc861

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 sqc11026 P4232 208 cubic {5,6} 18 (2,4)
Full image sqc11023 I213 199 cubic {5,6} 18 (2,4)
Full image sqc11016 F-43m 216 cubic {5,6} 18 (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 UQC1341 *2323 (2,4,4) {5,6} {3.4.4.4.4}{4.3.4.4.3.4} Snet sqc11026 Snet sqc11023 Snet sqc11016

Symmetry-lowered hyperbolic tilings