h-net: hqc304


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{16,4,4}
2D vertex symbol {3.3.12.12.3.3.12.12.3.3.12.12.3.3.12.12}{12.12.12.12}{3.3.3.3}
Vertex coordination sequence [(16, 120, 976, 7992, 65040), (4, 60, 468, 3724, 30564, 248984), (4, 52, 372, 3108, 25380, 206292)]
Delaney-Dress Symbol <304.2:6:1 6 3 5,2 4 5 6,3 2 4 5 6:3 12,16 4 4>
Dual net hqc224

Derived s-nets

s-nets with faithful topology

2 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 sqc868 I4/mmm 139 tetragonal {16,4} 3 (2,2)
Full image sqc721 I-4m2 119 tetragonal {16,4,4} 3 (3,3)

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 UQC3289 *4444 (3,3,2) {16,4,4} {3.3.12.12.3.3.12.12.3.3.12.12.3... Snet sqc11 Snet sqc868 Snet sqc359
Tiling details UQC3290 *4444 (3,3,2) {16,4,4} {3.3.12.12.3.3.12.12.3.3.12.12.3... Snet sqc43 Snet sqc868 Snet sqc721

Symmetry-lowered hyperbolic tilings