h-net: hqc2255

Topological data

Orbifold symbol	*222222
Transitivity (vertex, edge, ring)	(5,6,2)
Vertex degrees	{4,4,4,6,4}
2D vertex symbol	{14.14.14.14}{14.14.14.14}{14.3.3.14}{14.3.3.14.3.3}{3.3.3.3}
Delaney-Dress Symbol	<2255.2:13:1 3 5 7 9 11 13,2 4 6 7 10 13 12,1 2 3 4 5 8 9 10 11 12 13:14 3,4 4 4 6 4>
Dual net	hqc2175

Derived s-nets

s-nets with faithful topology

10 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)
	sqc1048		Pmmm	47	orthorhombic	{4,6,4,4,4}	6	(5,6)
	sqc1050		Pmmm	47	orthorhombic	{4,6,4,4,4}	6	(5,6)
	sqc1051		Pmmm	47	orthorhombic	{6,4,4,4,4}	6	(5,6)
	sqc5879		C2/c	15	monoclinic	{4,4,4,6,4}	12	(5,7)
	sqc5880		I212121	24	orthorhombic	{4,4,4,6,4}	12	(5,7)
	sqc5998		C2/c	15	monoclinic	{4,4,4,6,4}	12	(5,7)
	sqc6073		C2/c	15	monoclinic	{4,4,4,6,4}	12	(5,7)
	sqc5882		Imma	74	orthorhombic	{4,4,4,6,4}	12	(5,6)
	sqc5999		Imma	74	orthorhombic	{4,4,4,6,4}	12	(5,6)
	sqc6068		Imma	74	orthorhombic	{4,4,4,6,4}	12	(5,6)

s-nets with edge collapse

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Derived U-tilings

4 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC5711	*222222a	(5,6,2)	{4,4,4,6,4}	{14.14.14.14}{14.14.14.14}{14.3....	sqc1048	sqc6073	sqc6068
	UQC5712	*222222a	(5,6,2)	{4,4,4,6,4}	{14.14.14.14}{14.14.14.14}{14.3....	sqc1050	sqc5998	sqc5999
	UQC5713	*222222a	(5,6,2)	{4,4,4,6,4}	{14.14.14.14}{14.14.14.14}{14.3....	sqc1051	sqc5879	sqc5882
	UQC5714	*222222b	(5,6,2)	{4,4,4,6,4}	{14.14.14.14}{14.14.14.14}{14.3....	No s‑net	sqc5880	sqc1048

Symmetry-lowered hyperbolic tilings

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