h-net: hqc2398

Topological data

Orbifold symbol	*22222
Transitivity (vertex, edge, ring)	(2,7,6)
Vertex degrees	{4,7}
2D vertex symbol	{4.4.3.4}{3.4.4.4.4.4.4}
Delaney-Dress Symbol	<2398.2:15:1 2 3 4 5 7 9 10 11 12 13 14 15,2 4 6 7 10 11 13 15,3 10 5 8 9 12 14 15:4 4 3 4 4 4,4 7>
Dual net	hqc2408

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)
	sqc7092		Fmmm	69	orthorhombic	{4,7}	12	(2,7)
	sqc12060		P4/mmm	123	tetragonal	{7,4}	24	(2,7)
	sqc12047		I4122	98	tetragonal	{7,4,4}	24	(3,8)
	sqc12048		I4122	98	tetragonal	{7,4,4}	24	(3,8)
	sqc12056		I4122	98	tetragonal	{7,4,4}	24	(3,8)
	sqc12058		Fddd	70	orthorhombic	{7,4,4}	24	(3,8)
	sqc12059		I4122	98	tetragonal	{7,4,4}	24	(3,8)
	sqc12062		Fddd	70	orthorhombic	{7,4,4}	24	(3,8)
	sqc12063		Fddd	70	orthorhombic	{7,4,4}	24	(3,8)
	sqc12064		I4122	98	tetragonal	{7,4,4}	24	(3,8)
	sqc12103		Fddd	70	orthorhombic	{7,4,4}	24	(3,8)
	sqc12104		Fddd	70	orthorhombic	{7,4,4}	24	(3,8)
	sqc1471		Pmmm	47	orthorhombic	{7,4}	6	(2,7)
	sqc1479		Pmmm	47	orthorhombic	{7,4}	6	(2,7)
	sqc1484		Pmmm	47	orthorhombic	{4,7}	6	(2,7)
	sqc7013		P4222	93	tetragonal	{7,4}	12	(2,7)
	sqc7025		P4222	93	tetragonal	{4,7}	12	(2,7)
	sqc7087		P4222	93	tetragonal	{4,7}	12	(2,7)
	sqc7093		Cmma	67	orthorhombic	{4,7}	12	(2,7)
	sqc7096		Cmma	67	orthorhombic	{4,7}	12	(2,7)
	sqc7197		P4222	93	tetragonal	{4,7}	12	(2,7)
	sqc7200		P4222	93	tetragonal	{7,4}	12	(2,7)

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
	UQC3149	*22222a	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	No s‑net	sqc12048	sqc7025
	UQC3150	*22222a	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	sqc6310	sqc12047	sqc7013
	UQC3151	*22222b	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	sqc6438	sqc12103	sqc1484
	UQC3152	*22222a	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	No s‑net	sqc12056	sqc7197
	UQC3153	*22222b	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	sqc7092	sqc12104	sqc1471
	UQC3154	*22222b	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	sqc1471	sqc12062	sqc7093
	UQC3155	*22222b	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	No s‑net	sqc12063	sqc1479
	UQC3156	*22222b	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	sqc1471	sqc12058	sqc7096
	UQC3157	*22222a	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	sqc11921	sqc12064	sqc7087
	UQC3158	*22222a	(2,7,6)	{7,4}	{4.4.3.4}{3.4.4.4.4.4.4}	sqc12060	sqc12059	sqc7200

Symmetry-lowered hyperbolic tilings

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