h-net: hqc282


Topological data

Orbifold symbol*22222
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{8,4}
2D vertex symbol {3.6.6.3.3.6.6.3}{3.6.3.6}
Delaney-Dress Symbol <282.2:6:1 3 5 6,2 3 6 5,1 4 5 6:3 6,8 4>
Dual net hqc291

Derived s-nets

s-nets with faithful topology

20 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 sqc21 Pmmm 47 orthorhombic {8,4} 2 (2,3)
Full image sqc4827 P4/mmm 123 tetragonal {8,4} 8 (2,3)
Full image sqc4826 I4122 98 tetragonal {8,4} 8 (2,4)
Full image sqc4854 I4122 98 tetragonal {8,4} 8 (2,4)
Full image sqc4921 Fddd 70 orthorhombic {8,4} 8 (2,4)
Full image sqc4923 I4122 98 tetragonal {8,4} 8 (2,4)
Full image sqc5067 Fddd 70 orthorhombic {8,4} 8 (2,4)
Full image sqc5077 I4122 98 tetragonal {8,4} 8 (2,4)
Full image sqc5108 I4122 98 tetragonal {8,4} 8 (2,4)
Full image sqc5141 Fddd 70 orthorhombic {8,4} 8 (2,4)
Full image sqc5142 Fddd 70 orthorhombic {8,4} 8 (2,4)
Full image sqc5354 Fddd 70 orthorhombic {8,4} 8 (2,4)
Full image sqc736 P42/mmc 131 tetragonal {4,8} 4 (2,3)
Full image sqc764 P42/mmc 131 tetragonal {4,8} 4 (2,3)
Full image sqc787 P4222 93 tetragonal {4,8} 4 (2,3)
Full image sqc788 P4222 93 tetragonal {4,8} 4 (2,3)
Full image sqc899 Cmma 67 orthorhombic {4,8} 4 (2,3)
Full image sqc909 Cmma 67 orthorhombic {8,4} 4 (2,3)
Full image sqc951 P42/mcm 132 tetragonal {8,4} 4 (2,3)

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 UQC282 *22222a (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} Snet sqc4827 Snet sqc4826 Snet sqc951
Tiling details UQC283 *22222a (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} No s‑net Snet sqc4854 Snet sqc787
Tiling details UQC284 *22222a (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} Snet sqc4557 Snet sqc5077 Snet sqc788
Tiling details UQC285 *22222b (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} Snet sqc21 Snet sqc5067 Snet sqc909
Tiling details UQC286 *22222b (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} Snet sqc678 Snet sqc5142 Snet sqc21
Tiling details UQC287 *22222a (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} Snet sqc493 Snet sqc4923 Snet sqc736
Tiling details UQC288 *22222b (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} No s‑net Snet sqc5354 Snet sqc21
Tiling details UQC289 *22222b (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} Snet sqc703 Snet sqc5141 Snet sqc21
Tiling details UQC290 *22222b (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} Snet sqc21 Snet sqc4921 Snet sqc899
Tiling details UQC291 *22222a (2,3,2) {8,4} {3.6.6.3.3.6.6.3}{3.6.3.6} No s‑net Snet sqc5108 Snet sqc764

Symmetry-lowered hyperbolic tilings