h-net: hqc2301

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,7,5)
Vertex degrees	{8,3}
2D vertex symbol	{4.4.4.4.4.4.4.4}{4.4.4}
Delaney-Dress Symbol	<2301.2:14:1 2 3 4 5 7 9 10 11 12 13 14,2 4 6 14 10 11 13,1 3 5 8 9 10 12 14:4 4 4 4 4,8 3>
Dual net	hqc2332

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)
	sqc1149		Pmmm	47	orthorhombic	{3,8}	6	(2,7)
	sqc6399		Fmmm	69	orthorhombic	{3,8}	12	(2,7)
	sqc11749		P4/mmm	123	tetragonal	{8,3}	24	(2,7)
	sqc11729		I4122	98	tetragonal	{8,3,3}	24	(3,8)
	sqc11731		I4122	98	tetragonal	{8,3,3}	24	(3,8)
	sqc11750		I4122	98	tetragonal	{8,3,3}	24	(3,8)
	sqc11761		I4122	98	tetragonal	{8,3,3}	24	(3,8)
	sqc11763		I4122	98	tetragonal	{8,3,3}	24	(3,8)
	sqc11774		Fddd	70	orthorhombic	{8,3,3}	24	(3,8)
	sqc11775		Fddd	70	orthorhombic	{8,3,3}	24	(3,8)
	sqc11780		Fddd	70	orthorhombic	{8,3,3}	24	(3,8)
	sqc11838		Fddd	70	orthorhombic	{8,3,3}	24	(3,8)
	sqc11839		Fddd	70	orthorhombic	{8,3,3}	24	(3,8)
	sqc1177		Pmmm	47	orthorhombic	{3,8}	6	(2,7)
	sqc1183		Pmmm	47	orthorhombic	{3,8}	6	(2,7)
	sqc6270		P4222	93	tetragonal	{3,8}	12	(2,7)
	sqc6284		P4222	93	tetragonal	{8,3}	12	(2,7)
	sqc6433		P4222	93	tetragonal	{8,3}	12	(2,7)
	sqc6435		P4222	93	tetragonal	{8,3}	12	(2,7)
	sqc6476		Cmma	67	orthorhombic	{8,3}	12	(2,7)
	sqc6477		Cmma	67	orthorhombic	{3,8}	12	(2,7)
	sqc6516		P4222	93	tetragonal	{3,8}	12	(2,7)

s-nets with edge collapse

show / hide

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
	UQC2941	*22222a	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	No s‑net	sqc11731	sqc6284
	UQC2942	*22222a	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc5686	sqc11729	sqc6270
	UQC2943	*22222a	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc11749	sqc11750	sqc6516
	UQC2944	*22222a	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc11437	sqc11761	sqc6433
	UQC2945	*22222b	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc5754	sqc11775	sqc1183
	UQC2946	*22222b	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc1149	sqc11774	sqc6477
	UQC2947	*22222b	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc1149	sqc11838	sqc6476
	UQC2948	*22222b	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc6399	sqc11839	sqc1149
	UQC2949	*22222a	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	No s‑net	sqc11763	sqc6435
	UQC2950	*22222b	(2,7,5)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	No s‑net	sqc11780	sqc1177

Symmetry-lowered hyperbolic tilings

show / hide