h-net: hqc4

Topological data

Orbifold symbol	*245
Transitivity (vertex, edge, ring)	(1,1,1)
Vertex degrees	{5}
2D vertex symbol	{4.4.4.4.4}
Vertex coordination sequence	[(5, 15, 40, 105, 275, 720, 1885, 4935, 12920, 33825)]
Delaney-Dress Symbol	<4.1:1:1,1,1:4,5>
Dual net	hqc8

Derived s-nets

s-nets with faithful topology

17 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)
	sqc464	fee	P4/mmm	123	tetragonal	{5}	4	(1,3)
	sqc3581		Fmmm	69	orthorhombic	{5,5}	8	(2,5)
	sqc3799	yfy	I4/mmm	139	tetragonal	{5}	8	(1,3)
	sqc9554		P42/nnm	134	tetragonal	{5}	16	(1,5)
	sqc9387		I4122	98	tetragonal	{5,5}	16	(2,6)
	sqc9548		I4122	98	tetragonal	{5,5}	16	(2,6)
	sqc9549		Fddd	70	orthorhombic	{5,5}	16	(2,6)
	sqc9550		Ibca	73	orthorhombic	{5,5}	16	(2,6)
	sqc9551		I41/acd	142	tetragonal	{5}	16	(1,3)
	sqc9552		Fddd	70	orthorhombic	{5,5}	16	(2,6)
	sqc9804		I41/acd	142	tetragonal	{5}	16	(1,3)
	sqc3092		P4222	93	tetragonal	{5,5}	8	(2,5)
	sqc3455		P4222	93	tetragonal	{5,5}	8	(2,5)
	sqc3456		Cmma	67	orthorhombic	{5,5}	8	(2,5)
	sqc3580		P42/nnm	134	tetragonal	{5}	8	(1,3)
	sqc3798		P42/nnm	134	tetragonal	{5}	8	(1,3)
	sqc9679		I41/amd	141	tetragonal	{5}	16	(1,5)

s-nets with edge collapse

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Derived U-tilings

7 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC34	*2224	(1,3,3)	{5}	{4.4.4.4.4}	sqc464	sqc9551	sqc3580
	UQC35	*2224	(1,3,3)	{5}	{4.4.4.4.4}	sqc3799	sqc9804	sqc3798
	UQC1904	*22222a	(2,5,4)	{5,5}	{4.4.4.4.4}{4.4.4.4.4}	sqc9149	sqc9387	sqc3092
	UQC1905	*22222b	(2,5,4)	{5,5}	{4.4.4.4.4}{4.4.4.4.4}	sqc2928	sqc9549	sqc3456
	UQC1906	*22222a	(2,5,4)	{5,5}	{4.4.4.4.4}{4.4.4.4.4}	sqc9089	sqc9548	sqc3455
	UQC1907	*22222b	(2,5,4)	{5,5}	{4.4.4.4.4}{4.4.4.4.4}	sqc3581	sqc9552	sqc464
	UQC3262	*222222a	(2,9,8)	{5,5}	{4.4.4.4.4}{4.4.4.4.4}	sqc9554	sqc9550	sqc9679

Symmetry-lowered hyperbolic tilings

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