h-net: hqc2040


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,6,2)
Vertex degrees{8,4,4,4}
2D vertex symbol {6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.3}
Vertex coordination sequence [(8, 40, 136, 416, 1272, 3928, 12152, 37568, 116104), (4, 10, 42, 138, 448, 1392, 4298, 13280, 41046), (4, 6, 16, 74, 260, 818, 2520, 7776, 24040, 74316), (4, 4, 20, 72, 260, 818, 2520, 7776, 24040, 74316)]
Delaney-Dress Symbol <2040.2:12:1 3 5 7 9 11 12,2 4 12 8 11 10,1 2 3 6 7 8 9 10 11 12:6 3,8 4 4 4>
Dual net hqc1999

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 sqc10756 I4/mmm 139 tetragonal {4,4,4,8} 22 (4,6)
Full image sqc13281 I41/acd 142 tetragonal {8,4,4,4} 44 (4,7)
Full image sqc13282 I41/acd 142 tetragonal {8,4,4,4} 44 (4,7)
Full image sqc10698 P42/nnm 134 tetragonal {4,4,4,8} 22 (4,6)
Full image sqc10738 P42/nnm 134 tetragonal {4,4,4,8} 22 (4,6)

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 UQC5161 *2224 (4,6,2) {8,4,4,4} {6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3... Snet sqc4723 Snet sqc13282 Snet sqc10698
Tiling details UQC5162 *2224 (4,6,2) {8,4,4,4} {6.6.6.6.6.6.6.6}{6.3.3.6}{6.6.3... Snet sqc10756 Snet sqc13281 Snet sqc10738

Symmetry-lowered hyperbolic tilings