h-net: hqc1997

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,6,4)
Vertex degrees	{3,12}
2D vertex symbol	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}
Delaney-Dress Symbol	<1997.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:4 4 4 4,3 12>
Dual net	hqc2042

Derived s-nets

s-nets with faithful topology

18 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)
	sqc10696		I4122	98	tetragonal	{12,3,3}	20	(3,7)
	sqc10697		I4122	98	tetragonal	{12,3,3}	20	(3,7)
	sqc10710		I4122	98	tetragonal	{12,3,3}	20	(3,7)
	sqc10711		I4122	98	tetragonal	{12,3,3}	20	(3,7)
	sqc10712		Fddd	70	orthorhombic	{12,3,3}	20	(3,7)
	sqc10713		Fddd	70	orthorhombic	{12,3,3}	20	(3,7)
	sqc10715		Fddd	70	orthorhombic	{12,3,3}	20	(3,7)
	sqc10716		I4122	98	tetragonal	{12,3,3}	20	(3,7)
	sqc10736		Fddd	70	orthorhombic	{12,3,3}	20	(3,7)
	sqc10737		Fddd	70	orthorhombic	{12,3,3}	20	(3,7)
	sqc716		Pmmm	47	orthorhombic	{3,12}	5	(2,6)
	sqc4743		P42/mmc	131	tetragonal	{3,12}	10	(2,6)
	sqc4744		P4222	93	tetragonal	{3,12}	10	(2,6)
	sqc4903		P4222	93	tetragonal	{3,12}	10	(2,6)
	sqc4908		P4222	93	tetragonal	{3,12}	10	(2,6)
	sqc4909		P4222	93	tetragonal	{3,12}	10	(2,6)
	sqc4910		Cmma	67	orthorhombic	{12,3}	10	(2,6)
	sqc4913		Cmma	67	orthorhombic	{3,12}	10	(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
	UQC2317	*22222a	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	No s‑net	sqc10697	sqc4743
	UQC2318	*22222a	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	sqc9937	sqc10696	sqc4744
	UQC2319	*22222a	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	sqc10120	sqc10711	sqc4908
	UQC2320	*22222b	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	sqc546	sqc10712	sqc4913
	UQC2321	*22222a	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	No s‑net	sqc10710	sqc4909
	UQC2322	*22222b	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	No s‑net	sqc10713	sqc716
	UQC2323	*22222b	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	sqc4720	sqc10737	sqc546
	UQC2324	*22222b	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	sqc546	sqc10715	sqc4910
	UQC2325	*22222a	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	sqc4035	sqc10716	sqc4903
	UQC2326	*22222b	(2,6,4)	{12,3}	{4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4}	sqc4724	sqc10736	sqc546

Symmetry-lowered hyperbolic tilings

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