h-net: hqc1110


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{3,4,6}
2D vertex symbol {6.3.6}{6.6.3.3}{6.6.6.6.6.6}
Vertex coordination sequence [(3, 5, 12, 41, 107, 245, 566, 1306, 2994, 6874), (4, 8, 28, 74, 178, 406, 936, 2150, 4934, 11334), (6, 24, 60, 132, 306, 708, 1620, 3720, 8550, 19632)]
Delaney-Dress Symbol <1110.2:9:1 3 5 6 8 9,2 7 4 6 9,1 4 5 6 7 8 9:6 3,3 4 6>
Dual net hqc1059

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 sqc13672 Pm-3m 221 cubic {3,4,6} 56 (3,5)
Full image sqc13679 I4132 214 cubic {3,4,6} 56 (3,6)
Full image sqc11672 P4232 208 cubic {4,6,3} 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 UQC3918 *2223 (3,5,2) {3,4,6} {6.3.6}{6.6.3.3}{6.6.6.6.6.6} Snet sqc13672 Snet sqc13679 Snet sqc11672

Symmetry-lowered hyperbolic tilings