h-net: hqc670


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{10,3}
2D vertex symbol {4.4.4.4.4.4.4.4.4.4}{4.4.4}
Delaney-Dress Symbol <670.2:8:1 2 3 5 7 8,2 4 8 6 7,1 3 6 7 8:4 4 4,10 3>
Dual net hqc819

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 sqc1786 Fmmm 69 orthorhombic {10,3} 6 (2,4)
Full image sqc7408 I4122 98 tetragonal {3,10} 12 (2,5)
Full image sqc7413 I4122 98 tetragonal {3,10} 12 (2,5)
Full image sqc7425 I4122 98 tetragonal {3,10} 12 (2,5)
Full image sqc7473 Fddd 70 orthorhombic {3,10} 12 (2,5)
Full image sqc7479 I4122 98 tetragonal {3,10} 12 (2,5)
Full image sqc7529 Fddd 70 orthorhombic {3,10} 12 (2,5)
Full image sqc7531 Fddd 70 orthorhombic {3,10} 12 (2,5)
Full image sqc7532 I4122 98 tetragonal {3,10} 12 (2,5)
Full image sqc7547 Fddd 70 orthorhombic {3,10} 12 (2,5)
Full image sqc7567 Fddd 70 orthorhombic {3,10} 12 (2,5)
Full image sqc75 Pmmm 47 orthorhombic {10,3} 3 (2,4)
Full image sqc1579 P42/mmc 131 tetragonal {3,10} 6 (2,4)
Full image sqc1589 P4222 93 tetragonal {3,10} 6 (2,4)
Full image sqc1648 P4222 93 tetragonal {3,10} 6 (2,4)
Full image sqc1785 Cmma 67 orthorhombic {10,3} 6 (2,4)
Full image sqc1789 P4222 93 tetragonal {3,10} 6 (2,4)
Full image sqc1863 Cmma 67 orthorhombic {3,10} 6 (2,4)
Full image sqc1877 P4222 93 tetragonal {3,10} 6 (2,4)

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 UQC911 *22222a (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} No s‑net Snet sqc7413 Snet sqc1579
Tiling details UQC912 *22222a (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} Snet sqc5688 Snet sqc7408 Snet sqc1589
Tiling details UQC913 *22222b (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} Snet sqc50 Snet sqc7529 Snet sqc1863
Tiling details UQC914 *22222b (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} No s‑net Snet sqc7473 Snet sqc75
Tiling details UQC915 *22222b (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} Snet sqc50 Snet sqc7567 Snet sqc1785
Tiling details UQC916 *22222b (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} Snet sqc1467 Snet sqc7531 Snet sqc50
Tiling details UQC917 *22222b (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} Snet sqc1786 Snet sqc7547 Snet sqc50
Tiling details UQC918 *22222a (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} Snet sqc1468 Snet sqc7479 Snet sqc1789
Tiling details UQC919 *22222a (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} No s‑net Snet sqc7425 Snet sqc1648
Tiling details UQC920 *22222a (2,4,3) {10,3} {4.4.4.4.4.4.4.4.4.4}{4.4.4} Snet sqc6413 Snet sqc7532 Snet sqc1877

Symmetry-lowered hyperbolic tilings