h-net: hqc345

Topological data

Orbifold symbol	*2224
Transitivity (vertex, edge, ring)	(2,4,3)
Vertex degrees	{8,3}
2D vertex symbol	{4.4.4.4.4.4.4.4}{4.4.4}
Vertex coordination sequence	[(8, 36, 138, 516, 1926, 7188, 26826, 100116), (3, 8, 34, 137, 516, 1926, 7188, 26826, 100116)]
Delaney-Dress Symbol	<345.2:7:1 2 3 5 6 7,2 4 6 7,1 3 4 5 7:4 4 4,8 3>
Dual net	hqc464

Derived s-nets

s-nets with faithful topology

15 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)
	sqc1179		P4/mmm	123	tetragonal	{8,3}	6	(2,4)
	sqc6403		I4/mmm	139	tetragonal	{3,8}	12	(2,4)
	sqc6421		I4/mmm	139	tetragonal	{3,8}	12	(2,5)
	sqc11730		I4122	98	tetragonal	{8,3,3}	24	(3,8)
	sqc11753		I41/acd	142	tetragonal	{8,3}	24	(2,4)
	sqc11762		I4122	98	tetragonal	{8,3,3}	24	(3,8)
	sqc11781		Fddd	70	orthorhombic	{8,3,3}	24	(3,8)
	sqc11840		Fddd	70	orthorhombic	{8,3,3}	24	(3,8)
	sqc11841		I41/acd	142	tetragonal	{8,3}	24	(2,4)
	sqc1272		I4/mmm	139	tetragonal	{3,8}	6	(2,4)
	sqc6283		P4222	93	tetragonal	{3,8}	12	(2,7)
	sqc6434		P4222	93	tetragonal	{3,8}	12	(2,7)
	sqc6467		Cmma	67	orthorhombic	{3,8}	12	(2,7)
	sqc6527		Cmma	67	orthorhombic	{8,3}	12	(2,7)
	sqc6712		P42/nnm	134	tetragonal	{3,8}	12	(2,4)

s-nets with edge collapse

show / hide

Derived U-tilings

6 records listed.

Image	U-tiling name	PGD Subgroup	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol	P net	G net	D net
	UQC510	*2224	(2,4,3)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc1179	sqc11753	sqc6712
	UQC511	*2224	(2,4,3)	{8,3}	{4.4.4.4.4.4.4.4}{4.4.4}	sqc6403	sqc11841	sqc1272
	UQC3000	*22222a	(2,7,5)	{8,3}	{4.4.4}{4.4.4.4.4.4.4.4}	sqc11298	sqc11730	sqc6283
	UQC3001	*22222a	(2,7,5)	{8,3}	{4.4.4}{4.4.4.4.4.4.4.4}	sqc11437	sqc11762	sqc6434
	UQC3002	*22222b	(2,7,5)	{8,3}	{4.4.4}{4.4.4.4.4.4.4.4}	sqc5755	sqc11781	sqc6467
	UQC3003	*22222b	(2,7,5)	{8,3}	{4.4.4}{4.4.4.4.4.4.4.4}	sqc6421	sqc11840	sqc6527

Symmetry-lowered hyperbolic tilings

show / hide