h-net: hqc1952


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,16}
2D vertex symbol {8.4.3.8}{3.4.4.4.3.4.4.4.3.4.4.4.3.4.4.4}
Vertex coordination sequence [(16, 124, 840, 5612, 37508, 250924), (4, 21, 146, 999, 6724, 45027, 301268)]
Delaney-Dress Symbol <1952.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:8 8 3 4 4,4 16>
Dual net hqc2084

Derived s-nets

s-nets with faithful topology

3 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 sqc4753 I-4 82 tetragonal {16,4,4} 9 (3,6)
Full image sqc4755 I-4 82 tetragonal {16,4,4} 9 (3,6)
Full image sqc4754 I-4m2 119 tetragonal {16,4} 9 (2,5)

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 UQC2605 *4444 (2,5,5) {16,4} {8.4.3.8}{3.4.4.4.3.4.4.4.3.4.4.... Snet sqc3951 Snet sqc4753 Snet sqc4039
Tiling details UQC2606 *4444 (2,5,5) {16,4} {8.4.3.8}{3.4.4.4.3.4.4.4.3.4.4.... Snet sqc4037 Snet sqc4755 Snet sqc4754

Symmetry-lowered hyperbolic tilings