h-net: hqc1803


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,6,4,8}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 10, 28, 70, 164, 419, 956, 2448, 5572, 14268), (6, 16, 42, 96, 246, 560, 1434, 3264, 8358, 19024), (4, 16, 40, 96, 244, 560, 1434, 3264, 8358, 19024), (8, 24, 56, 144, 328, 840, 1912, 4896, 11144, 28536)]
Delaney-Dress Symbol <1803.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 6 4 8>
Dual net hqc1647

Derived s-nets

s-nets with faithful topology

6 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 sqc10491 I4/mmm 139 tetragonal {6,4,8,4} 18 (4,5)
Full image sqc10492 I4/mmm 139 tetragonal {4,8,6,4} 18 (4,5)
Full image sqc13242 I41/acd 142 tetragonal {4,6,4,8} 36 (4,6)
Full image sqc13243 I41/acd 142 tetragonal {4,6,4,8} 36 (4,6)
Full image sqc10437 P42/nnm 134 tetragonal {4,6,4,8} 18 (4,5)
Full image sqc10442 P42/nnm 134 tetragonal {6,4,8,4} 18 (4,5)

s-nets with edge collapse

No items to display.

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 UQC4931 *2224 (4,5,2) {4,6,4,8} {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4}{... Snet sqc10491 Snet sqc13243 Snet sqc10442
Tiling details UQC4932 *2224 (4,5,2) {4,6,4,8} {3.4.4.3}{3.4.4.3.4.4}{4.4.4.4}{... Snet sqc10492 Snet sqc13242 Snet sqc10437

Symmetry-lowered hyperbolic tilings