h-net: hqc1728


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{3,5}
2D vertex symbol {8.4.12}{12.4.4.4.4}
Delaney-Dress Symbol <1728.2:11:1 2 3 5 7 8 9 10 11,2 4 5 8 9 11,3 8 6 7 10 11:8 12 4 4,3 5>
Dual net hqc1845

Derived s-nets

s-nets with faithful topology

5 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 sqc10159 P4/nmm 129 tetragonal {5,3} 24 (2,5)
Full image sqc10160 I41/a 88 tetragonal {5,3,3} 24 (3,6)
Full image sqc10307 I-42d 122 tetragonal {5,3,3} 24 (3,6)
Full image sqc4323 P-42m 111 tetragonal {3,5} 12 (2,5)
Full image sqc10163 I41/amd 141 tetragonal {5,3} 24 (2,5)

s-nets with edge collapse


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 UQC2206 *2244b (2,5,4) {5,3} {8.4.12}{12.4.4.4.4} Snet sqc10159 Snet sqc10160 Snet sqc10163
Tiling details UQC2207 *2244a (2,5,4) {5,3} {8.4.12}{12.4.4.4.4} Snet sqc9871 Snet sqc10307 Snet sqc4323

Symmetry-lowered hyperbolic tilings