h-net: hqc866


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,8,4}
2D vertex symbol {20.20.3.3}{3.3.3.3}{20.20.20.20.20.20.20.20}{20.20.20.20}
Vertex coordination sequence [(4, 10, 36, 142, 504, 1734, 6000, 20778, 72636), (4, 4, 28, 84, 372, 1188, 4188, 14436, 50052), (8, 24, 96, 312, 1096, 3816, 13200, 46392), (4, 28, 84, 300, 996, 3484, 12276, 42348)]
Delaney-Dress Symbol <866.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:20 3,4 4 8 4>
Dual net hqc587

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 sqc1830 I-4m2 119 tetragonal {4,8,4,4} 7 (4,4)
Full image sqc1832 I-4m2 119 tetragonal {4,8,4,4} 7 (4,4)
Full image sqc1874 I-4m2 119 tetragonal {4,8,4,4} 7 (4,4)

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 UQC4192 *4444 (4,4,2) {4,4,8,4} {20.20.3.3}{3.3.3.3}{20.20.20.20... No s‑net Snet sqc1830 Snet sqc1832
Tiling details UQC4193 *4444 (4,4,2) {4,4,8,4} {20.20.3.3}{3.3.3.3}{20.20.20.20... Snet sqc1063 Snet sqc1830 Snet sqc1874

Symmetry-lowered hyperbolic tilings