h-net: hqc1125


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{6,4,3}
2D vertex symbol {5.5.5.5.5.5}{5.4.4.5}{5.4.4}
Vertex coordination sequence [(6, 24, 60, 132, 306, 708, 1620, 3720, 8550, 19632), (4, 10, 28, 74, 176, 406, 936, 2150, 4934, 11334), (3, 6, 14, 41, 106, 245, 565, 1306, 2995, 6873)]
Delaney-Dress Symbol <1125.2:9:1 3 5 7 8 9,2 4 5 8 9,1 2 3 6 7 8 9:5 4,6 4 3>
Dual net hqc1047

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 sqc13673 Pm-3m 221 cubic {6,4,3} 56 (3,5)
Full image sqc13680 I4132 214 cubic {6,4,3} 56 (3,6)
Full image sqc11670 P4232 208 cubic {4,3,6} 28 (3,5)

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 UQC4009 *2223 (3,5,2) {6,4,3} {5.5.5.5.5.5}{5.4.4.5}{5.4.4} Snet sqc13673 Snet sqc13680 Snet sqc11670

Symmetry-lowered hyperbolic tilings