h-net: hqc1924


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,5,6)
Vertex degrees{8,4}
2D vertex symbol {4.8.8.3.3.3.8.8}{3.3.4.3}
Vertex coordination sequence [(4, 11, 62, 290, 1337, 6166, 28439, 131146), (8, 38, 176, 814, 3752, 17302, 79792)]
Delaney-Dress Symbol <1924.2:12:1 2 3 4 5 6 8 10 11 12,1 3 5 7 8 9 11 12,2 4 6 9 10 12:4 8 8 3 3 4,8 4>
Dual net hqc2055

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 sqc4800 P4/mmm 123 tetragonal {4,8} 8 (2,5)
Full image sqc4801 I-4 82 tetragonal {4,8} 8 (2,6)
Full image sqc5076 I-4 82 tetragonal {4,8} 8 (2,6)
Full image sqc4792 I-4m2 119 tetragonal {4,8} 8 (2,5)
Full image sqc5015 I4/mmm 139 tetragonal {4,8} 8 (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 UQC3011 *4444 (2,5,6) {8,4} {4.8.8.3.3.3.8.8}{3.3.4.3} Snet sqc4800 Snet sqc4801 Snet sqc4792
Tiling details UQC3012 *4444 (2,5,6) {8,4} {4.8.8.3.3.3.8.8}{3.3.4.3} Snet sqc4376 Snet sqc5076 Snet sqc5015

Symmetry-lowered hyperbolic tilings