h-net: hqc15


Topological data

Orbifold symbol*24(12)
Transitivity (vertex, edge, ring)(1,1,1)
Vertex degrees{4}
2D vertex symbol {12.12.12.12}
Vertex coordination sequence [(4, 12, 36, 108, 324, 968, 2892, 8644, 25836, 77220)]
Delaney-Dress Symbol <15.1:1:1,1,1:12,4>
Dual net hqc7

Derived s-nets

s-nets with faithful topology

9 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 sqc28 Pmmm 47 orthorhombic {4,4,4} 3 (3,4)
Full image sqc29 mot P4/mmm 123 tetragonal {4,4} 3 (2,2)
Full image sqc35 nbo Im-3m 229 cubic {4} 3 (1,1)
Full image sqc906 usf R-3c 167 rhombohedral {4} 6 (1,2)
Full image sqc935 C2/c 15 monoclinic {4,4,4} 6 (3,4)
Full image sqc937 baa I-42d 122 tetragonal {4,4} 6 (2,2)
Full image sqc965 I41/a 88 tetragonal {4,4} 6 (2,2)
Full image sqc936 Imma 74 orthorhombic {4,4,4} 6 (3,4)
Full image sqc964 I41/amd 141 tetragonal {4,4} 6 (2,2)

s-nets with edge collapse


Derived U-tilings

4 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC58 *2244b (2,2,1) {4,4} {12.12.12.12}{12.12.12.12} Snet sqc29 Snet sqc965 Snet sqc964
Tiling details UQC59 *2244a (2,2,1) {4,4} {12.12.12.12}{12.12.12.12} Snet sqc528 Snet sqc937 Snet sqc29
Tiling details UQC83 *222222a (3,4,1) {4,4,4} {12.12.12.12}{12.12.12.12}{12.12... Snet sqc28 Snet sqc935 Snet sqc936
Tiling details UQC109 *2626 (2,1,2) {4,4} {12.12.12.12}{12.12.12.12} Snet sqc35 Snet sqc906 Snet sqc35

Symmetry-lowered hyperbolic tilings