h-net: hqc174


Topological data

Orbifold symbol*2244
Transitivity (vertex, edge, ring)(3,3,1)
Vertex degrees{4,8,4}
2D vertex symbol {5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5}
Delaney-Dress Symbol <174.1:5:1 3 5,2 4 5,1 2 3 4 5:5,4 8 4>
Dual net hqc109

Derived s-nets

s-nets with faithful topology

7 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 sqc3375 Cmma 67 orthorhombic {4,8,4,4} 8 (4,5)
Full image sqc3321 I41/a 88 tetragonal {4,8,4} 8 (3,3)
Full image sqc3322 I-42d 122 tetragonal {4,8,4} 8 (3,3)
Full image sqc3606 C2/c 15 monoclinic {4,8,4,4} 8 (4,6)
Full image sqc482 P-42m 111 tetragonal {4,8,4} 4 (3,3)
Full image sqc3387 I41/amd 141 tetragonal {4,8,4} 8 (3,3)
Full image sqc3612 Imma 74 orthorhombic {4,8,4,4} 8 (4,5)

s-nets with edge collapse


Derived U-tilings

3 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC74 *2244b (3,3,1) {4,8,4} {5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5} Snet sqc61 Snet sqc3321 Snet sqc3387
Tiling details UQC75 *2244a (3,3,1) {4,8,4} {5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5.5} Snet sqc2615 Snet sqc3322 Snet sqc482
Tiling details UQC4620 *222222a (4,5,2) {4,8,4,4} {5.5.5.5}{5.5.5.5.5.5.5.5}{5.5.5... Snet sqc3375 Snet sqc3606 Snet sqc3612

Symmetry-lowered hyperbolic tilings