h-net: hqc806


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{3,3,4}
2D vertex symbol {6.10.6}{6.10.10}{10.10.10.10}
Delaney-Dress Symbol <806.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:6 10,3 3 4>
Dual net hqc609

Derived s-nets

s-nets with faithful topology

22 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 sqc2087 Fmmm 69 orthorhombic {3,3,4} 10 (3,4)
Full image sqc8149 P4/mmm 123 tetragonal {3,3,4} 20 (3,4)
Full image sqc7459 I4122 98 tetragonal {3,3,4} 20 (3,5)
Full image sqc7773 I4122 98 tetragonal {3,3,4} 20 (3,5)
Full image sqc7792 Fddd 70 orthorhombic {3,3,4} 20 (3,5)
Full image sqc7803 Fddd 70 orthorhombic {3,3,4} 20 (3,5)
Full image sqc7804 I4122 98 tetragonal {3,3,4} 20 (3,5)
Full image sqc7805 Fddd 70 orthorhombic {3,3,4} 20 (3,5)
Full image sqc7806 Fddd 70 orthorhombic {3,3,4} 20 (3,5)
Full image sqc7853 Fddd 70 orthorhombic {3,3,4} 20 (3,5)
Full image sqc8127 I4122 98 tetragonal {3,3,4} 20 (3,5)
Full image sqc8129 I4122 98 tetragonal {3,3,4} 20 (3,5)
Full image sqc163 Pmmm 47 orthorhombic {3,3,4} 5 (3,4)
Full image sqc1761 P4222 93 tetragonal {3,4,3} 10 (3,4)
Full image sqc1773 P4222 93 tetragonal {3,3,4} 10 (3,4)
Full image sqc2088 Cmma 67 orthorhombic {3,3,4} 10 (3,4)
Full image sqc2121 P4222 93 tetragonal {3,4,3} 10 (3,4)
Full image sqc2122 Cmma 67 orthorhombic {3,4,3} 10 (3,4)
Full image sqc14589 P4222 93 tetragonal {3,4,3} 10 (3,4)
Full image sqc14590 P42/mmc 131 tetragonal {3,4,3} 10 (3,4)
Full image sqc14616 Pmmm 47 orthorhombic {3,4,3} 5 (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 UQC3680 *22222a (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} No s‑net Snet sqc7459 Snet sqc14589
Tiling details UQC3681 *22222a (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} Snet sqc7190 Snet sqc7773 Snet sqc1761
Tiling details UQC3682 *22222b (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} Snet sqc2087 Snet sqc7806 Snet sqc163
Tiling details UQC3683 *22222b (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} Snet sqc163 Snet sqc7853 Snet sqc2122
Tiling details UQC3684 *22222b (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} Snet sqc1577 Snet sqc7805 Snet sqc163
Tiling details UQC3685 *22222b (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} No s‑net Snet sqc7792 Snet sqc14616
Tiling details UQC3686 *22222b (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} Snet sqc163 Snet sqc7803 Snet sqc2088
Tiling details UQC3687 *22222a (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} No s‑net Snet sqc8127 Snet sqc14590
Tiling details UQC3688 *22222a (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} Snet sqc7394 Snet sqc7804 Snet sqc1773
Tiling details UQC3689 *22222a (3,4,2) {3,3,4} {6.10.6}{6.10.10}{10.10.10.10} Snet sqc8149 Snet sqc8129 Snet sqc2121

Symmetry-lowered hyperbolic tilings