h-net: hqc2101


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,8,16,3,8}
2D vertex symbol {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3.6.6.3.3.6.6.3.3.6.6.3.3.6}{6.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 28, 268, 856, 6980, 22968, 187276), (8, 72, 240, 1968, 6464, 52696), (16, 48, 376, 1248, 10176, 33480, 272936), (3, 31, 111, 755, 2900, 20416, 77865), (8, 52, 168, 1340, 4436, 36164, 118976)]
Delaney-Dress Symbol <2101.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,4 8 16 3 8>
Dual net hqc1988

Derived s-nets

s-nets with faithful topology

3 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 sqc4936 I-4m2 119 tetragonal {4,8,16,3,8} 8 (5,5)
Full image sqc4930 I-4m2 119 tetragonal {4,8,16,3,8} 8 (5,5)
Full image sqc4954 I-4m2 119 tetragonal {4,8,16,3,8} 8 (5,5)

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 UQC5474 *4444 (5,5,2) {4,8,16,3,8} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3... No s‑net Snet sqc4936 Snet sqc4954
Tiling details UQC5475 *4444 (5,5,2) {4,8,16,3,8} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3... Snet sqc4232 Snet sqc4936 Snet sqc4930

Symmetry-lowered hyperbolic tilings