h-net: hqc1555


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,3,3,8,4}
2D vertex symbol {16.16.16.16}{16.6.16}{16.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 8, 16, 68, 160, 664, 1516, 6312, 14492, 60160), (3, 7, 23, 52, 217, 499, 2077, 4762, 19777, 45387), (3, 11, 26, 104, 236, 986, 2268, 9407, 21577, 89550), (8, 20, 92, 212, 884, 2028, 8412, 19308, 80096), (4, 28, 64, 280, 648, 2676, 6132, 25440, 58404)]
Delaney-Dress Symbol <1555.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:16 6,4 3 3 8 4>
Dual net hqc1320

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 sqc3391 P-4m2 115 tetragonal {4,3,3,8,4} 11 (5,4)
Full image sqc3323 I-4 82 tetragonal {4,3,3,8,4} 11 (5,5)
Full image sqc3326 I-4 82 tetragonal {4,3,3,8,4} 11 (5,5)
Full image sqc3331 I-4m2 119 tetragonal {4,3,3,8,4} 11 (5,4)

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 UQC5247 *4444 (5,4,2) {4,3,3,8,4} {16.16.16.16}{16.6.16}{16.6.6}{6... Snet sqc2244 Snet sqc3323 No s‑net
Tiling details UQC5248 *4444 (5,4,2) {4,3,3,8,4} {16.16.16.16}{16.6.16}{16.6.6}{6... Snet sqc3391 Snet sqc3326 Snet sqc3331

Symmetry-lowered hyperbolic tilings