h-net: hqc787

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{6,6,4}
2D vertex symbol	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}
Delaney-Dress Symbol	<787.2:8:1 3 5 7 8,2 3 4 6 8,1 4 5 6 7 8:3 5,6 6 4>
Dual net	hqc620

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)
	sqc1938		Fmmm	69	orthorhombic	{4,6,6}	6	(3,4)
	sqc1942		Fmmm	69	orthorhombic	{6,4,6}	6	(3,4)
	sqc7955		P4/mmm	123	tetragonal	{6,6,4}	12	(3,4)
	sqc7540		I4122	98	tetragonal	{6,6,4}	12	(3,5)
	sqc7588		I4122	98	tetragonal	{6,6,4}	12	(3,5)
	sqc7610		I4122	98	tetragonal	{6,6,4}	12	(3,5)
	sqc7708		Fddd	70	orthorhombic	{6,6,4}	12	(3,5)
	sqc7731		I4122	98	tetragonal	{6,6,4}	12	(3,5)
	sqc7769		Fddd	70	orthorhombic	{6,6,4}	12	(3,5)
	sqc7774		Fddd	70	orthorhombic	{6,6,4}	12	(3,5)
	sqc7884		Fddd	70	orthorhombic	{6,6,4}	12	(3,5)
	sqc7885		Fddd	70	orthorhombic	{6,6,4}	12	(3,5)
	sqc7956		I4122	98	tetragonal	{6,6,4}	12	(3,5)
	sqc171		Pmmm	47	orthorhombic	{6,6,4}	3	(3,4)
	sqc1855		Cmma	67	orthorhombic	{6,4,6}	6	(3,4)
	sqc1875		P4222	93	tetragonal	{4,6,6}	6	(3,4)
	sqc1935		P4222	93	tetragonal	{6,6,4}	6	(3,4)
	sqc1937		P4222	93	tetragonal	{6,4,6}	6	(3,4)
	sqc1939		Cmma	67	orthorhombic	{4,6,6}	6	(3,4)
	sqc1943		P42/mmc	131	tetragonal	{6,6,4}	6	(3,4)
	sqc1996		Cmma	67	orthorhombic	{6,4,6}	6	(3,4)
	sqc2100		P4222	93	tetragonal	{4,6,6}	6	(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
	UQC3604	*22222a	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	No s‑net	sqc7540	sqc1875
	UQC3605	*22222a	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	sqc7097	sqc7588	sqc1935
	UQC3606	*22222a	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	sqc7955	sqc7956	sqc1943
	UQC3607	*22222a	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	No s‑net	sqc7731	sqc1937
	UQC3608	*22222b	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	No s‑net	sqc7708	sqc1996
	UQC3609	*22222b	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	sqc1938	sqc7774	sqc171
	UQC3610	*22222b	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	sqc1942	sqc7884	sqc171
	UQC3611	*22222b	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	sqc171	sqc7885	sqc1939
	UQC3612	*22222b	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	sqc1548	sqc7769	sqc1855
	UQC3613	*22222a	(3,4,2)	{6,6,4}	{3.5.3.3.5.3}{3.5.5.3.5.5}{5.5.5.5}	sqc7098	sqc7610	sqc2100

Symmetry-lowered hyperbolic tilings

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