h-net: hqc1334


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,5)
Vertex degrees{6,4}
2D vertex symbol {4.8.4.8.4.8}{4.4.4.8}
Vertex coordination sequence [(4, 13, 50, 183, 638, 2232, 7850, 27577, 96822), (6, 23, 80, 279, 982, 3452, 12118, 42557)]
Delaney-Dress Symbol <1334.2:10:1 2 3 4 6 8 9 10,1 3 5 9 7 8 10,2 4 7 8 10:4 8 4 8 4,6 4>
Dual net hqc1557

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 sqc3238 P-4m2 115 tetragonal {4,6} 8 (2,4)
Full image sqc3245 I-4 82 tetragonal {4,6} 8 (2,5)
Full image sqc3578 I-4 82 tetragonal {4,6} 8 (2,5)
Full image sqc3738 I-4m2 119 tetragonal {4,6} 8 (2,4)
Full image sqc3817 I-4m2 119 tetragonal {4,6} 8 (2,4)

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 UQC2417 *4444 (2,4,5) {6,4} {4.8.4.8.4.8}{4.4.4.8} Snet sqc3238 Snet sqc3245 Snet sqc3817
Tiling details UQC2418 *4444 (2,4,5) {6,4} {4.8.4.8.4.8}{4.4.4.8} Snet sqc2997 Snet sqc3578 Snet sqc3738

Symmetry-lowered hyperbolic tilings