h-net: hqc2084


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,3,8,8}
2D vertex symbol {16.16.16.16}{16.4.4.16}{16.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 12, 36, 132, 396, 1380, 4140, 14504, 43508), (4, 12, 42, 126, 444, 1332, 4662, 13984, 48986), (3, 11, 34, 118, 354, 1242, 3726, 13049, 39145, 137116), (8, 32, 96, 336, 1008, 3528, 10584, 37080, 111232), (8, 28, 100, 300, 1044, 3132, 10980, 32940, 115376)]
Delaney-Dress Symbol <2084.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:16 4,4 4 3 8 8>
Dual net hqc1952

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 sqc5029 P-4m2 115 tetragonal {4,4,3,8,8} 11 (5,5)
Full image sqc4928 I-4 82 tetragonal {4,4,3,8,8} 11 (5,6)
Full image sqc5302 I-4 82 tetragonal {4,4,3,8,8} 11 (5,6)
Full image sqc4929 I-4m2 119 tetragonal {4,4,3,8,8} 11 (5,5)
Full image sqc5030 I-4m2 119 tetragonal {4,4,3,8,8} 11 (5,5)

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 UQC5450 *4444 (5,5,2) {4,4,3,8,8} {16.16.16.16}{16.4.4.16}{16.4.4}... Snet sqc5029 Snet sqc4928 Snet sqc4929
Tiling details UQC5451 *4444 (5,5,2) {4,4,3,8,8} {16.16.16.16}{16.4.4.16}{16.4.4}... Snet sqc4593 Snet sqc5302 Snet sqc5030

Symmetry-lowered hyperbolic tilings