h-net: hqc106


Topological data

Orbifold symbol2*44
Transitivity (vertex, edge, ring)(2,2,1)
Vertex degrees{4,3}
2D vertex symbol {16.16.16.16}{16.16.16}
Vertex coordination sequence [(4, 8, 16, 40, 88, 184, 424, 948, 2036, 4548), (3, 7, 16, 34, 76, 172, 376, 829, 1851, 4076)]
Delaney-Dress Symbol <106.1:4:2 4,1 3 4,1 2 4:16,4 3>
Dual net hqc91

Derived s-nets

s-nets with faithful topology

6 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 sqc185 hof I4/mmm 139 tetragonal {4,3} 5 (2,2)
Full image sqc188 xux I-4m2 119 tetragonal {3,4} 5 (2,2)
Full image sqc2197 I4/mcm 140 tetragonal {4,3} 10 (2,3)
Full image sqc2205 I4/mcm 140 tetragonal {4,3} 10 (2,3)
Full image sqc2210 jph I41/amd 141 tetragonal {4,3} 10 (2,2)

s-nets with edge collapse

No items to display.

Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC4241 *4444 (4,3,2) {4,3,3,4} {16.16.16.16}{16.16.16}{16.16.16... Snet sqc185 Snet sqc2197 No s‑net
Tiling details UQC4242 *4444 (4,3,2) {4,3,3,4} {16.16.16.16}{16.16.16}{16.16.16... Snet sqc188 Snet sqc2205 Snet sqc2210

Symmetry-lowered hyperbolic tilings