h-net: hqc612

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{5,6}
2D vertex symbol	{4.3.6.3.4}{3.6.6.3.6.6}
Delaney-Dress Symbol	<612.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 3 6,5 6>
Dual net	hqc804

Derived s-nets

s-nets with faithful topology

21 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)
	sqc1968		Fmmm	69	orthorhombic	{5,6}	6	(2,4)
	sqc7942		P4/mmm	123	tetragonal	{6,5}	12	(2,4)
	sqc7450		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7539		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7571		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7659		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7660		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7828		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7833		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7839		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7874		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7941		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc126		Pmmm	47	orthorhombic	{5,6}	3	(2,4)
	sqc1692		P4222	93	tetragonal	{5,6}	6	(2,4)
	sqc1732		P4222	93	tetragonal	{5,6}	6	(2,4)
	sqc1969		Cmma	67	orthorhombic	{6,5}	6	(2,4)
	sqc2114		Cmma	67	orthorhombic	{5,6}	6	(2,4)
	sqc2127		P4222	93	tetragonal	{5,6}	6	(2,4)
	sqc14587		P42/mmc	131	tetragonal	{5,6}	6	(2,4)
	sqc14588		P4222	93	tetragonal	{5,6}	6	(2,4)
	sqc14615		Pmmm	47	orthorhombic	{5,6}	3	(2,4)

s-nets with edge collapse

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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
	UQC733	*22222a	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	sqc7107	sqc7539	sqc1692
	UQC734	*22222a	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	No s‑net	sqc7450	sqc14588
	UQC735	*22222a	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	sqc7942	sqc7941	sqc2127
	UQC736	*22222a	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	sqc7317	sqc7659	sqc1732
	UQC737	*22222b	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	sqc1538	sqc7833	sqc126
	UQC738	*22222b	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	No s‑net	sqc7874	sqc14615
	UQC739	*22222b	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	sqc126	sqc7660	sqc1969
	UQC740	*22222b	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	sqc126	sqc7839	sqc2114
	UQC741	*22222b	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	sqc1968	sqc7828	sqc126
	UQC742	*22222a	(2,4,3)	{5,6}	{4.3.6.3.4}{3.6.6.3.6.6}	No s‑net	sqc7571	sqc14587

Symmetry-lowered hyperbolic tilings

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