h-net: hqc617

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{5,6}
2D vertex symbol	{4.6.3.6.4}{6.3.3.6.3.3}
Delaney-Dress Symbol	<617.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 6 3,5 6>
Dual net	hqc803

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)
	sqc136		Pmmm	47	orthorhombic	{5,6}	3	(2,4)
	sqc2020		Fmmm	69	orthorhombic	{5,6}	6	(2,4)
	sqc7939		P4/mmm	123	tetragonal	{6,5}	12	(2,4)
	sqc7457		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7595		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7673		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7675		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7677		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7679		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7680		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7842		Fddd	70	orthorhombic	{6,5}	12	(2,5)
	sqc7883		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc7940		I4122	98	tetragonal	{6,5}	12	(2,5)
	sqc177		Pmmm	47	orthorhombic	{5,6}	3	(2,4)
	sqc1701		P4222	93	tetragonal	{5,6}	6	(2,4)
	sqc1912		P4222	93	tetragonal	{6,5}	6	(2,4)
	sqc1919		P42/mmc	131	tetragonal	{5,6}	6	(2,4)
	sqc2013		P4222	93	tetragonal	{5,6}	6	(2,4)
	sqc2019		Cmma	67	orthorhombic	{5,6}	6	(2,4)
	sqc2027		Cmma	67	orthorhombic	{5,6}	6	(2,4)
	sqc2125		P4222	93	tetragonal	{6,5}	6	(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
	UQC760	*22222a	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	No s‑net	sqc7457	sqc1701
	UQC761	*22222a	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	sqc1369	sqc7595	sqc1912
	UQC762	*22222b	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	sqc136	sqc7677	sqc2019
	UQC763	*22222a	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	sqc6778	sqc7675	sqc1919
	UQC764	*22222b	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	sqc136	sqc7680	sqc2027
	UQC765	*22222b	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	sqc2020	sqc7679	sqc136
	UQC766	*22222b	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	No s‑net	sqc7842	sqc136
	UQC767	*22222b	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	sqc1404	sqc7673	sqc177
	UQC768	*22222a	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	sqc7939	sqc7940	sqc2125
	UQC769	*22222a	(2,4,3)	{5,6}	{4.6.3.6.4}{6.3.3.6.3.3}	No s‑net	sqc7883	sqc2013

Symmetry-lowered hyperbolic tilings

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