h-net: hqc804


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{6,3,4}
2D vertex symbol {6.5.6.6.5.6}{6.5.5}{5.5.5.5}
Delaney-Dress Symbol <804.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:6 5,6 3 4>
Dual net hqc612

Derived s-nets

s-nets with faithful topology

19 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 sqc131 Pmmm 47 orthorhombic {4,3,6} 4 (3,4)
Full image sqc1970 Fmmm 69 orthorhombic {4,3,6} 8 (3,4)
Full image sqc7959 P4/mmm 123 tetragonal {6,3,4} 16 (3,4)
Full image sqc7451 I4122 98 tetragonal {6,3,4} 16 (3,5)
Full image sqc7541 I4122 98 tetragonal {6,3,4} 16 (3,5)
Full image sqc7581 I4122 98 tetragonal {6,3,4} 16 (3,5)
Full image sqc7664 I4122 98 tetragonal {6,3,4} 16 (3,5)
Full image sqc7665 Fddd 70 orthorhombic {6,3,4} 16 (3,5)
Full image sqc7836 Fddd 70 orthorhombic {6,3,4} 16 (3,5)
Full image sqc7837 Fddd 70 orthorhombic {6,3,4} 16 (3,5)
Full image sqc7892 Fddd 70 orthorhombic {6,3,4} 16 (3,5)
Full image sqc7898 Fddd 70 orthorhombic {6,3,4} 16 (3,5)
Full image sqc7963 I4122 98 tetragonal {6,3,4} 16 (3,5)
Full image sqc1693 P4222 93 tetragonal {3,6,4} 8 (3,4)
Full image sqc1735 P4222 93 tetragonal {3,4,6} 8 (3,4)
Full image sqc1971 Cmma 67 orthorhombic {4,3,6} 8 (3,4)
Full image sqc2123 Cmma 67 orthorhombic {3,4,6} 8 (3,4)
Full image sqc2139 P4222 93 tetragonal {3,4,6} 8 (3,4)

s-nets with edge collapse


Derived U-tilings

10 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC3666 *22222a (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} Snet sqc7109 Snet sqc7541 Snet sqc1693
Tiling details UQC3667 *22222a (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} No s‑net Snet sqc7451 No s‑net
Tiling details UQC3668 *22222a (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} Snet sqc7325 Snet sqc7664 Snet sqc1735
Tiling details UQC3669 *22222a (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} Snet sqc7959 Snet sqc7963 Snet sqc2139
Tiling details UQC3670 *22222b (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} Snet sqc131 Snet sqc7898 Snet sqc2123
Tiling details UQC3671 *22222b (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} No s‑net Snet sqc7892 No s‑net
Tiling details UQC3672 *22222a (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} No s‑net Snet sqc7581 No s‑net
Tiling details UQC3673 *22222b (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} Snet sqc1970 Snet sqc7836 Snet sqc131
Tiling details UQC3674 *22222b (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} Snet sqc1523 Snet sqc7837 Snet sqc131
Tiling details UQC3675 *22222b (3,4,2) {6,3,4} {6.5.6.6.5.6}{6.5.5}{5.5.5.5} Snet sqc131 Snet sqc7665 Snet sqc1971

Symmetry-lowered hyperbolic tilings