h-net: hqc832

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{4,3,3}
2D vertex symbol	{12.12.12.12}{12.4.12}{12.12.4}
Delaney-Dress Symbol	<832.2:8:1 3 5 7 8,2 4 8 6 7,1 2 3 6 7 8:12 4,4 3 3>
Dual net	hqc641

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)
	sqc2090		Fmmm	69	orthorhombic	{3,3,4}	10	(3,4)
	sqc8146		P4/mmm	123	tetragonal	{4,3,3}	20	(3,4)
	sqc7460		I4122	98	tetragonal	{4,3,3}	20	(3,5)
	sqc7798		Fddd	70	orthorhombic	{4,3,3}	20	(3,5)
	sqc7799		I4122	98	tetragonal	{4,3,3}	20	(3,5)
	sqc7800		I4122	98	tetragonal	{4,3,3}	20	(3,5)
	sqc7807		Fddd	70	orthorhombic	{4,3,3}	20	(3,5)
	sqc7808		Fddd	70	orthorhombic	{4,3,3}	20	(3,5)
	sqc7809		Fddd	70	orthorhombic	{4,3,3}	20	(3,5)
	sqc7854		Fddd	70	orthorhombic	{4,3,3}	20	(3,5)
	sqc8128		I4122	98	tetragonal	{4,3,3}	20	(3,5)
	sqc8144		I4122	98	tetragonal	{4,3,3}	20	(3,5)
	sqc164		Pmmm	47	orthorhombic	{3,3,4}	5	(3,4)
	sqc1770		P42/mmc	131	tetragonal	{3,4,3}	10	(3,4)
	sqc1771		P4222	93	tetragonal	{3,3,4}	10	(3,4)
	sqc1772		P4222	93	tetragonal	{3,4,3}	10	(3,4)
	sqc2082		P42/mmc	131	tetragonal	{3,3,4}	10	(3,4)
	sqc2089		Cmma	67	orthorhombic	{3,3,4}	10	(3,4)
	sqc2109		Cmma	67	orthorhombic	{3,3,4}	10	(3,4)
	sqc2211		P42/mcm	132	tetragonal	{3,3,4}	10	(3,4)

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
	UQC3786	*22222a	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	No s‑net	sqc7460	sqc1772
	UQC3787	*22222a	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	sqc7392	sqc7800	sqc1771
	UQC3788	*22222b	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	sqc2090	sqc7807	sqc164
	UQC3789	*22222b	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	sqc164	sqc7854	sqc2089
	UQC3790	*22222b	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	No s‑net	sqc7809	sqc164
	UQC3791	*22222a	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	No s‑net	sqc8144	sqc2082
	UQC3792	*22222b	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	sqc1576	sqc7808	sqc164
	UQC3793	*22222b	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	sqc164	sqc7798	sqc2109
	UQC3794	*22222a	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	sqc8146	sqc8128	sqc2211
	UQC3795	*22222a	(3,4,2)	{4,3,3}	{12.12.12.12}{12.4.12}{12.12.4}	sqc7393	sqc7799	sqc1770

Symmetry-lowered hyperbolic tilings

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