h-net: hqc2055


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(6,5,2)
Vertex degrees{4,3,3,8,8,4}
2D vertex symbol {4.4.4.4}{4.8.4}{4.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8}
Vertex coordination sequence [(4, 4, 4, 28, 132, 548, 2648, 11732, 56168), (3, 5, 16, 69, 290, 1403, 6212, 29749, 130315), (3, 10, 38, 154, 743, 3288, 15753, 69030), (8, 36, 144, 692, 3080, 14752, 64568), (8, 40, 200, 880, 4208, 18448, 88336), (4, 28, 148, 712, 3072, 14696, 64580)]
Delaney-Dress Symbol <2055.2:12:2 4 6 8 10 12,1 3 4 5 7 9 11 12,1 2 5 6 7 8 9 10 11 12:4 8,4 3 3 8 8 4>
Dual net hqc1924

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 sqc4937 I-4m2 119 tetragonal {4,3,3,8,8,4} 12 (6,5)
Full image sqc4931 I-4m2 119 tetragonal {4,3,3,8,8,4} 12 (6,5)
Full image sqc4958 I-4m2 119 tetragonal {4,3,3,8,8,4} 12 (6,5)

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 UQC5844 *4444 (6,5,2) {4,3,3,8,8,4} {4.4.4.4}{4.8.4}{4.8.8}{8.8.8.8.... No s‑net Snet sqc4937 Snet sqc4958
Tiling details UQC5845 *4444 (6,5,2) {4,3,3,8,8,4} {4.4.4.4}{4.8.4}{4.8.8}{8.8.8.8.... Snet sqc4233 Snet sqc4937 Snet sqc4931

Symmetry-lowered hyperbolic tilings