h-net: hqc2085


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(6,5,2)
Vertex degrees{4,8,4,3,4,4}
2D vertex symbol {6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}{6.6.6}{6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 28, 80, 328, 904, 3484, 9548, 37192, 102028), (8, 24, 104, 288, 1120, 3072, 11944, 32760, 127568), (4, 14, 38, 142, 388, 1524, 4184, 16282, 44662), (3, 9, 27, 72, 277, 759, 2977, 8172, 31803, 87237), (4, 12, 40, 108, 436, 1200, 4660, 12780, 49744), (4, 8, 20, 76, 208, 812, 2228, 8692, 23848, 92816)]
Delaney-Dress Symbol <2085.2:12:2 4 6 8 10 12,1 3 5 6 9 11 10 12,1 2 3 4 7 8 9 10 11 12:6 6,4 8 4 3 4 4>
Dual net hqc1965

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 sqc5036 P-4m2 115 tetragonal {4,8,4,3,4,4} 12 (6,5)
Full image sqc4943 I-4 82 tetragonal {4,8,4,3,4,4} 12 (6,6)
Full image sqc4947 I-4 82 tetragonal {4,8,4,3,4,4} 12 (6,6)
Full image sqc4946 I-4m2 119 tetragonal {4,8,4,3,4,4} 12 (6,5)
Full image sqc5032 I-4m2 119 tetragonal {4,8,4,3,4,4} 12 (6,5)

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 UQC5855 *4444 (6,5,2) {4,8,4,3,4,4} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6... Snet sqc5036 Snet sqc4947 Snet sqc4946
Tiling details UQC5856 *4444 (6,5,2) {4,8,4,3,4,4} {6.6.6.6}{6.6.6.6.6.6.6.6}{6.6.6... Snet sqc3927 Snet sqc4943 Snet sqc5032

Symmetry-lowered hyperbolic tilings