h-net: hqc1964


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,5,6)
Vertex degrees{8,4}
2D vertex symbol {4.8.3.4.4.4.3.8}{3.4.4.4}
Vertex coordination sequence [(4, 15, 74, 352, 1621, 7470, 34458, 158914), (8, 40, 184, 848, 3912, 18040, 83192)]
Delaney-Dress Symbol <1964.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 6 9 11 10 12,2 4 7 8 10 12:4 8 3 4 4 4,8 4>
Dual net hqc2056

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 sqc5207 P4/mmm 123 tetragonal {4,8} 8 (2,5)
Full image sqc5088 I-4 82 tetragonal {4,8} 8 (2,6)
Full image sqc5206 I-4 82 tetragonal {4,8} 8 (2,6)
Full image sqc4791 I-4m2 119 tetragonal {4,8} 8 (2,5)
Full image sqc5017 I4/mmm 139 tetragonal {4,8} 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 UQC3018 *4444 (2,5,6) {8,4} {4.8.3.4.4.4.3.8}{3.4.4.4} Snet sqc5207 Snet sqc5206 Snet sqc4791
Tiling details UQC3019 *4444 (2,5,6) {8,4} {4.8.3.4.4.4.3.8}{3.4.4.4} Snet sqc4358 Snet sqc5088 Snet sqc5017

Symmetry-lowered hyperbolic tilings