h-net: hqc1820


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{16,3,4,4}
2D vertex symbol {3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(16, 64, 248, 920, 3440, 12832, 47896), (3, 28, 99, 393, 1448, 5430, 20236, 75554), (4, 32, 120, 460, 1718, 6418, 23946, 89374), (4, 6, 52, 188, 730, 2706, 10128, 37766, 140980)]
Delaney-Dress Symbol <1820.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,16 3 4 4>
Dual net hqc1634

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 sqc10218 I4/mmm 139 tetragonal {4,3,4,16} 18 (4,5)
Full image sqc13205 I41/acd 142 tetragonal {16,3,4,4} 36 (4,6)
Full image sqc13206 I41/acd 142 tetragonal {16,3,4,4} 36 (4,6)
Full image sqc10113 P42/nnm 134 tetragonal {3,4,4,16} 18 (4,5)
Full image sqc10198 P42/nnm 134 tetragonal {16,3,4,4} 18 (4,5)

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 UQC4966 *2224 (4,5,2) {16,3,4,4} {3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3... Snet sqc3923 Snet sqc13205 Snet sqc10113
Tiling details UQC4967 *2224 (4,5,2) {16,3,4,4} {3.4.4.3.3.4.4.3.3.4.4.3.3.4.4.3... Snet sqc10218 Snet sqc13206 Snet sqc10198

Symmetry-lowered hyperbolic tilings