h-net: hqc1925

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,5)
Vertex degrees	{7,5}
2D vertex symbol	{4.4.3.3.3.4.4}{3.3.4.4.3}
Delaney-Dress Symbol	<1925.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 8 10 12,1 3 5 8 9 11 12:4 4 3 3 4,7 5>
Dual net	hqc2026

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)
	sqc749		Pmmm	47	orthorhombic	{5,7}	4	(2,6)
	sqc5085		Fmmm	69	orthorhombic	{7,5}	8	(2,6)
	sqc10765		P4/mmm	123	tetragonal	{5,7}	16	(2,6)
	sqc10699		I4122	98	tetragonal	{5,7}	16	(2,7)
	sqc10700		I4122	98	tetragonal	{5,7}	16	(2,7)
	sqc10758		I4122	98	tetragonal	{5,7}	16	(2,7)
	sqc10766		I4122	98	tetragonal	{5,7}	16	(2,7)
	sqc10782		Fddd	70	orthorhombic	{5,7}	16	(2,7)
	sqc10788		Fddd	70	orthorhombic	{5,7}	16	(2,7)
	sqc10798		I4122	98	tetragonal	{5,7}	16	(2,7)
	sqc10872		Fddd	70	orthorhombic	{5,7}	16	(2,7)
	sqc10874		Fddd	70	orthorhombic	{5,7}	16	(2,7)
	sqc10875		Fddd	70	orthorhombic	{5,7}	16	(2,7)
	sqc766		Pmmm	47	orthorhombic	{5,7}	4	(2,6)
	sqc4790		P4222	93	tetragonal	{5,7}	8	(2,6)
	sqc5071		P4222	93	tetragonal	{7,5}	8	(2,6)
	sqc5086		Cmma	67	orthorhombic	{5,7}	8	(2,6)
	sqc5130		Cmma	67	orthorhombic	{7,5}	8	(2,6)
	sqc5321		P4222	93	tetragonal	{5,7}	8	(2,6)
	sqc14611		P4222	93	tetragonal	{7,5}	8	(2,6)
	sqc14612		P4222	93	tetragonal	{5,7}	8	(2,6)
	sqc14624		Pmmm	47	orthorhombic	{7,5}	4	(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
	UQC2542	*22222a	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	No s‑net	sqc10700	sqc14612
	UQC2543	*22222a	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	sqc4105	sqc10699	sqc4790
	UQC2544	*22222a	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	sqc10531	sqc10798	sqc5071
	UQC2545	*22222a	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	sqc10765	sqc10766	sqc5321
	UQC2546	*22222a	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	No s‑net	sqc10758	sqc14611
	UQC2547	*22222b	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	sqc749	sqc10782	sqc5086
	UQC2548	*22222b	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	sqc5085	sqc10874	sqc749
	UQC2549	*22222b	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	No s‑net	sqc10788	sqc14624
	UQC2550	*22222b	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	sqc749	sqc10875	sqc5130
	UQC2551	*22222b	(2,6,5)	{7,5}	{4.4.3.3.3.4.4}{3.3.4.4.3}	sqc4274	sqc10872	sqc766

Symmetry-lowered hyperbolic tilings

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