h-net: hqc2151


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,6,5)
Vertex degrees{4,5}
2D vertex symbol {4.4.6.4}{6.4.4.4.4}
Delaney-Dress Symbol <2151.2:13:1 2 3 4 5 7 9 10 11 12 13,2 4 6 7 10 11 13,3 10 5 8 9 12 13:4 4 6 4 4,4 5>
Dual net hqc2230

Derived s-nets

s-nets with faithful topology

27 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 sqc5843 Fmmm 69 orthorhombic {4,5} 12 (2,6)
Full image sqc5844 Fmmm 69 orthorhombic {5,4} 12 (2,6)
Full image sqc5944 Fmmm 69 orthorhombic {4,5} 12 (2,6)
Full image sqc5945 Fmmm 69 orthorhombic {4,5} 12 (2,6)
Full image sqc6087 P4/mmm 123 tetragonal {4,5} 12 (2,5)
Full image sqc11565 P4/mmm 123 tetragonal {5,4} 24 (2,6)
Full image sqc11566 P4/mmm 123 tetragonal {5,4} 24 (2,6)
Full image sqc11302 I4122 98 tetragonal {5,4,4} 24 (3,7)
Full image sqc11376 Fddd 70 orthorhombic {5,4,4} 24 (3,7)
Full image sqc11378 I4122 98 tetragonal {5,4,4} 24 (3,7)
Full image sqc11379 Fddd 70 orthorhombic {5,4,4} 24 (3,7)
Full image sqc11380 Fddd 70 orthorhombic {5,4,4} 24 (3,7)
Full image sqc11383 I4122 98 tetragonal {5,4,4} 24 (3,7)
Full image sqc11443 Fddd 70 orthorhombic {5,4,4} 24 (3,7)
Full image sqc11444 Fddd 70 orthorhombic {5,4,4} 24 (3,7)
Full image sqc11561 I4122 98 tetragonal {5,4,4} 24 (3,7)
Full image sqc11567 I4122 98 tetragonal {5,4,4} 24 (3,7)
Full image sqc5694 P4222 93 tetragonal {5,4} 12 (2,6)
Full image sqc5775 P4222 93 tetragonal {5,4} 12 (2,6)
Full image sqc5776 P4222 93 tetragonal {4,5} 12 (2,6)
Full image sqc5777 Cmma 67 orthorhombic {5,4} 12 (2,6)
Full image sqc5845 Cmma 67 orthorhombic {4,5} 12 (2,6)
Full image sqc5850 Cmma 67 orthorhombic {4,5} 12 (2,6)
Full image sqc5942 Cmma 67 orthorhombic {5,4} 12 (2,6)
Full image sqc5946 Cmma 67 orthorhombic {4,5} 12 (2,6)
Full image sqc6034 P4222 93 tetragonal {5,4} 12 (2,6)
Full image sqc6035 P4222 93 tetragonal {5,4} 12 (2,6)

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 UQC2773 *22222a (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc6087 Snet sqc11302 Snet sqc5694
Tiling details UQC2774 *22222a (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc11177 Snet sqc11378 Snet sqc5776
Tiling details UQC2775 *22222b (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc5569 Snet sqc11380 Snet sqc5777
Tiling details UQC2776 *22222a (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc11163 Snet sqc11383 Snet sqc5775
Tiling details UQC2777 *22222a (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc11565 Snet sqc11561 Snet sqc6035
Tiling details UQC2778 *22222a (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc11566 Snet sqc11567 Snet sqc6034
Tiling details UQC2779 *22222b (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc5944 Snet sqc11444 Snet sqc5845
Tiling details UQC2780 *22222b (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc5945 Snet sqc11379 Snet sqc5850
Tiling details UQC2781 *22222b (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc5844 Snet sqc11443 Snet sqc5946
Tiling details UQC2782 *22222b (2,6,5) {5,4} {4.4.6.4}{6.4.4.4.4} Snet sqc5843 Snet sqc11376 Snet sqc5942

Symmetry-lowered hyperbolic tilings