h-net: hqc2099


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,8,4,12,8}
2D vertex symbol {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3.6}{6.3.3.6.3.3.6.3.3.6.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 28, 80, 548, 1532, 8720, 26100, 140092), (8, 24, 168, 464, 2712, 7992, 43512, 136880), (4, 30, 82, 446, 1348, 7196, 23168, 116770), (12, 28, 168, 452, 2660, 7888, 42924, 135644), (8, 40, 112, 576, 1880, 9384, 32136, 153024)]
Delaney-Dress Symbol <2099.2:12:2 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 4 12 8>
Dual net hqc1986

Derived s-nets

s-nets with faithful topology

4 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 sqc5080 P-4m2 115 tetragonal {4,8,4,12,8} 8 (5,5)
Full image sqc4942 I-4 82 tetragonal {4,8,4,12,8} 8 (5,6)
Full image sqc4941 I-4m2 119 tetragonal {4,8,4,12,8} 8 (5,5)
Full image sqc5079 I-4m2 119 tetragonal {4,8,4,12,8} 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 UQC5470 *4444 (5,5,2) {4,8,4,12,8} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3... Snet sqc3073 Snet sqc4942 Snet sqc5079
Tiling details UQC5471 *4444 (5,5,2) {4,8,4,12,8} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.3.3... Snet sqc5080 Snet sqc4942 Snet sqc4941

Symmetry-lowered hyperbolic tilings