h-net: hqc1101


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{4,3,8}
2D vertex symbol {3.6.6.3}{3.6.6}{6.6.6.6.6.6.6.6}
Vertex coordination sequence [(4, 6, 18, 68, 230, 724, 2232, 6895, 21318, 65898), (3, 10, 39, 124, 397, 1232, 3811, 11776, 36397, 112494), (8, 36, 120, 368, 1128, 3484, 10776, 33312, 102952)]
Delaney-Dress Symbol <1101.2:9:1 3 5 6 8 9,2 3 6 7 9,1 4 5 6 7 8 9:3 6,4 3 8>
Dual net hqc994

Derived s-nets

s-nets with faithful topology

5 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 sqc8572 I4/mmm 139 tetragonal {3,4,8} 18 (3,5)
Full image sqc12587 I41/acd 142 tetragonal {4,3,8} 36 (3,6)
Full image sqc12588 I41/acd 142 tetragonal {4,3,8} 36 (3,6)
Full image sqc8403 P42/nnm 134 tetragonal {8,4,3} 18 (3,5)
Full image sqc8528 P42/nnm 134 tetragonal {3,4,8} 18 (3,5)

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 UQC3853 *2224 (3,5,2) {4,3,8} {3.6.6.3}{3.6.6}{6.6.6.6.6.6.6.6} Snet sqc8572 Snet sqc12587 Snet sqc8528
Tiling details UQC3854 *2224 (3,5,2) {4,3,8} {3.6.6.3}{3.6.6}{6.6.6.6.6.6.6.6} Snet sqc2247 Snet sqc12588 Snet sqc8403

Symmetry-lowered hyperbolic tilings