h-net: hqc1999


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{3,6}
2D vertex symbol {4.4.4}{4.8.8.4.4.4}
Vertex coordination sequence [(6, 18, 44, 104, 240, 550, 1264, 2904, 6668, 15314), (3, 6, 16, 43, 104, 240, 550, 1264, 2904, 6668)]
Delaney-Dress Symbol <1999.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:4 4 4 8,3 6>
Dual net hqc2040

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 sqc10814 I4/mmm 139 tetragonal {6,3} 24 (2,6)
Full image sqc11059 I4/mmm 139 tetragonal {6,3} 24 (2,6)
Full image sqc13293 I41/acd 142 tetragonal {6,3,3} 48 (3,7)
Full image sqc13415 I41/acd 142 tetragonal {6,3,3} 48 (3,7)
Full image sqc4885 P42/mmc 131 tetragonal {6,3} 12 (2,6)
Full image sqc11042 P42/nnm 134 tetragonal {3,6} 24 (2,6)

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 UQC2328 *2224 (2,6,4) {6,3} {4.4.4}{4.8.8.4.4.4} Snet sqc10814 Snet sqc13293 Snet sqc4885
Tiling details UQC2329 *2224 (2,6,4) {6,3} {4.4.4}{4.8.8.4.4.4} Snet sqc11059 Snet sqc13415 Snet sqc11042

Symmetry-lowered hyperbolic tilings