h-net: hqc825

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(3,4,2)
Vertex degrees	{4,6,3}
2D vertex symbol	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}
Delaney-Dress Symbol	<825.2:8:1 3 5 7 8,2 4 8 6 7,1 2 3 6 7 8:6 4,4 6 3>
Dual net	hqc644

Derived s-nets

s-nets with faithful topology

23 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)
	sqc2057		Fmmm	69	orthorhombic	{3,6,4}	8	(3,4)
	sqc2149		Fmmm	69	orthorhombic	{3,6,4}	8	(3,4)
	sqc7978		P4/mmm	123	tetragonal	{4,6,3}	16	(3,4)
	sqc7616		I4122	98	tetragonal	{4,6,3}	16	(3,5)
	sqc7710		I4122	98	tetragonal	{4,6,3}	16	(3,5)
	sqc7711		Fddd	70	orthorhombic	{4,6,3}	16	(3,5)
	sqc7733		I4122	98	tetragonal	{4,6,3}	16	(3,5)
	sqc7776		Fddd	70	orthorhombic	{4,6,3}	16	(3,5)
	sqc7779		Fddd	70	orthorhombic	{4,6,3}	16	(3,5)
	sqc7966		I4122	98	tetragonal	{4,6,3}	16	(3,5)
	sqc7968		Fddd	70	orthorhombic	{4,6,3}	16	(3,5)
	sqc7969		Fddd	70	orthorhombic	{4,6,3}	16	(3,5)
	sqc7980		I4122	98	tetragonal	{4,6,3}	16	(3,5)
	sqc181		Pmmm	47	orthorhombic	{6,4,3}	4	(3,4)
	sqc1755		P4222	93	tetragonal	{3,4,6}	8	(3,4)
	sqc1765		Cmma	67	orthorhombic	{6,3,4}	8	(3,4)
	sqc1950		P42/mmc	131	tetragonal	{3,6,4}	8	(3,4)
	sqc1999		P4222	93	tetragonal	{3,4,6}	8	(3,4)
	sqc2096		Cmma	67	orthorhombic	{6,3,4}	8	(3,4)
	sqc2132		P4222	93	tetragonal	{3,6,4}	8	(3,4)
	sqc2133		P4222	93	tetragonal	{3,6,4}	8	(3,4)
	sqc2153		Cmma	67	orthorhombic	{6,3,4}	8	(3,4)

s-nets with edge collapse

show / hide

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
	UQC3764	*22222a	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	No s‑net	sqc7966	sqc1999
	UQC3765	*22222a	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	sqc7295	sqc7710	sqc2132
	UQC3766	*22222b	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	sqc2149	sqc7969	sqc181
	UQC3767	*22222b	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	sqc2057	sqc7779	sqc181
	UQC3768	*22222b	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	sqc181	sqc7968	sqc2153
	UQC3769	*22222a	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	No s‑net	sqc7733	sqc2133
	UQC3770	*22222b	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	No s‑net	sqc7711	sqc2096
	UQC3771	*22222a	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	sqc7978	sqc7980	sqc1950
	UQC3772	*22222b	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	sqc1561	sqc7776	sqc1765
	UQC3773	*22222a	(3,4,2)	{4,6,3}	{6.6.6.6}{6.4.6.6.4.6}{6.6.4}	sqc7106	sqc7616	sqc1755

Symmetry-lowered hyperbolic tilings

show / hide