h-net: hqc2069


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,8,3,4,4}
2D vertex symbol {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 24, 32, 116, 140, 528, 648, 2444, 2996, 11272), (8, 12, 48, 60, 228, 280, 1052, 1288, 4848, 5940), (3, 14, 18, 70, 87, 331, 407, 1531, 1875, 7055), (4, 16, 20, 80, 100, 376, 460, 1728, 2116, 7968), (4, 6, 24, 30, 116, 144, 546, 670, 2516, 3080)]
Delaney-Dress Symbol <2069.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,4 8 3 4 4>
Dual net hqc1935

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 sqc10995 I4/mmm 139 tetragonal {8,4,3,4,4} 22 (5,5)
Full image sqc11003 I4/mmm 139 tetragonal {4,3,4,4,8} 22 (5,5)
Full image sqc13361 I41/acd 142 tetragonal {4,8,3,4,4} 44 (5,6)
Full image sqc13366 I41/acd 142 tetragonal {4,8,3,4,4} 44 (5,6)
Full image sqc10925 P42/nnm 134 tetragonal {3,4,4,8,4} 22 (5,5)
Full image sqc11012 P42/nnm 134 tetragonal {4,3,8,4,4} 22 (5,5)

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 UQC5425 *2224 (5,5,2) {4,8,3,4,4} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4... Snet sqc10995 Snet sqc13361 Snet sqc10925
Tiling details UQC5426 *2224 (5,5,2) {4,8,3,4,4} {4.4.4.4}{4.4.4.4.4.4.4.4}{4.4.4... Snet sqc11003 Snet sqc13366 Snet sqc11012

Symmetry-lowered hyperbolic tilings