h-net: hqc1667

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{7,4}
2D vertex symbol	{4.4.4.3.4.4.4}{4.4.3.3}
Delaney-Dress Symbol	<1667.2:11:1 2 3 4 5 7 9 10 11,2 4 6 11 8 10,1 3 5 8 9 10 11:4 4 4 3,7 4>
Dual net	hqc1787

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)
	sqc4333		Fmmm	69	orthorhombic	{7,4}	8	(2,6)
	sqc10241		P4/mmm	123	tetragonal	{7,4}	16	(2,6)
	sqc10127		I4122	98	tetragonal	{7,4}	16	(2,7)
	sqc10139		I4122	98	tetragonal	{7,4}	16	(2,7)
	sqc10237		I4122	98	tetragonal	{7,4}	16	(2,7)
	sqc10250		Fddd	70	orthorhombic	{7,4}	16	(2,7)
	sqc10261		Fddd	70	orthorhombic	{7,4}	16	(2,7)
	sqc10277		I4122	98	tetragonal	{7,4}	16	(2,7)
	sqc10403		Fddd	70	orthorhombic	{7,4}	16	(2,7)
	sqc10413		I4122	98	tetragonal	{7,4}	16	(2,7)
	sqc10414		Fddd	70	orthorhombic	{7,4}	16	(2,7)
	sqc10415		Fddd	70	orthorhombic	{7,4}	16	(2,7)
	sqc564		Pmmm	47	orthorhombic	{7,4}	4	(2,6)
	sqc591		Pmmm	47	orthorhombic	{7,4}	4	(2,6)
	sqc600		Pmmm	47	orthorhombic	{7,4}	4	(2,6)
	sqc4081		P4222	93	tetragonal	{7,4}	8	(2,6)
	sqc4120		P4222	93	tetragonal	{7,4}	8	(2,6)
	sqc4303		P4222	93	tetragonal	{7,4}	8	(2,6)
	sqc4309		P4222	93	tetragonal	{7,4}	8	(2,6)
	sqc4334		Cmma	67	orthorhombic	{7,4}	8	(2,6)
	sqc4357		Cmma	67	orthorhombic	{4,7}	8	(2,6)
	sqc4545		P4222	93	tetragonal	{4,7}	8	(2,6)

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
	UQC2049	*22222a	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	No s‑net	sqc10139	sqc4120
	UQC2050	*22222a	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	sqc3243	sqc10127	sqc4081
	UQC2051	*22222a	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	sqc9773	sqc10277	sqc4309
	UQC2052	*22222b	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	sqc3401	sqc10403	sqc600
	UQC2053	*22222b	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	sqc4333	sqc10414	sqc564
	UQC2054	*22222b	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	sqc564	sqc10250	sqc4334
	UQC2055	*22222b	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	No s‑net	sqc10261	sqc591
	UQC2056	*22222a	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	No s‑net	sqc10237	sqc4303
	UQC2057	*22222b	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	sqc564	sqc10415	sqc4357
	UQC2058	*22222a	(2,6,4)	{7,4}	{4.4.4.3.4.4.4}{4.4.3.3}	sqc10241	sqc10413	sqc4545

Symmetry-lowered hyperbolic tilings

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