h-net: hqc803


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,6,4}
2D vertex symbol {6.5.6}{6.5.5.6.5.5}{5.5.5.5}
Delaney-Dress Symbol <803.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:6 5,3 6 4>
Dual net hqc617

Derived s-nets

s-nets with faithful topology

23 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 sqc180 Pmmm 47 orthorhombic {6,4,3} 4 (3,4)
Full image sqc1893 Fmmm 69 orthorhombic {6,3,4} 8 (3,4)
Full image sqc2056 Fmmm 69 orthorhombic {6,4,3} 8 (3,4)
Full image sqc7975 P4/mmm 123 tetragonal {3,6,4} 16 (3,4)
Full image sqc7580 I4122 98 tetragonal {3,6,4} 16 (3,5)
Full image sqc7593 I4122 98 tetragonal {3,6,4} 16 (3,5)
Full image sqc7709 Fddd 70 orthorhombic {3,6,4} 16 (3,5)
Full image sqc7732 I4122 98 tetragonal {3,6,4} 16 (3,5)
Full image sqc7775 I4122 98 tetragonal {3,6,4} 16 (3,5)
Full image sqc7777 Fddd 70 orthorhombic {3,6,4} 16 (3,5)
Full image sqc7778 Fddd 70 orthorhombic {3,6,4} 16 (3,5)
Full image sqc7970 Fddd 70 orthorhombic {3,6,4} 16 (3,5)
Full image sqc7971 Fddd 70 orthorhombic {3,6,4} 16 (3,5)
Full image sqc7983 I4122 98 tetragonal {3,6,4} 16 (3,5)
Full image sqc1764 Cmma 67 orthorhombic {4,3,6} 8 (3,4)
Full image sqc1894 Cmma 67 orthorhombic {3,4,6} 8 (3,4)
Full image sqc1936 P4222 93 tetragonal {4,6,3} 8 (3,4)
Full image sqc2131 P4222 93 tetragonal {3,4,6} 8 (3,4)
Full image sqc2152 P4222 93 tetragonal {3,6,4} 8 (3,4)
Full image sqc14585 P4222 93 tetragonal {3,6,4} 8 (3,4)
Full image sqc14586 P42/mcm 132 tetragonal {3,4,6} 8 (3,4)
Full image sqc14614 Cmma 67 orthorhombic {3,6,4} 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 UQC3656 *22222a (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} No s‑net Snet sqc7580 Snet sqc14586
Tiling details UQC3657 *22222a (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} Snet sqc7104 Snet sqc7593 Snet sqc1936
Tiling details UQC3658 *22222b (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} No s‑net Snet sqc7709 Snet sqc14614
Tiling details UQC3659 *22222a (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} Snet sqc7975 Snet sqc7983 Snet sqc2131
Tiling details UQC3660 *22222b (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} Snet sqc180 Snet sqc7971 Snet sqc1894
Tiling details UQC3661 *22222b (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} Snet sqc2056 Snet sqc7778 Snet sqc180
Tiling details UQC3662 *22222b (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} Snet sqc1893 Snet sqc7970 Snet sqc180
Tiling details UQC3663 *22222a (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} No s‑net Snet sqc7732 Snet sqc14585
Tiling details UQC3664 *22222b (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} Snet sqc1562 Snet sqc7777 Snet sqc1764
Tiling details UQC3665 *22222a (3,4,2) {3,6,4} {6.5.6}{6.5.5.6.5.5}{5.5.5.5} Snet sqc7302 Snet sqc7775 Snet sqc2152

Symmetry-lowered hyperbolic tilings