Euclidean Patterns in Non-Euclidean Tilings

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sqc882

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« sqc881	sqc883 »

Vertex Degree:	{4,4,6}
Transitivity (vertex,edge):	(3,3)
Nodes/Primitive Unit Cell:	5
Nodes/Asymmetric Unit:	3
Other Names:	--
Spacegroup:	P4/mmm
Symmetry Class:	tetragonal
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
1.61998	1.61998	2.08903	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	6	0.00000	0.50000	0.00000
2	4	0.00000	0.50000	0.50000
3	4	0.50000	0.50000	0.50000

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
6	22	46	82	126	182	246	322	406	502
4	16	36	74	112	174	232	314	392	494
4	12	36	66	108	174	216	334	352	542

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.50000	0.00000	-0.50000	0.00000	0.00000
0.00000	0.50000	0.00000	0.00000	0.50000	-0.50000
0.00000	0.50000	0.50000	-0.50000	0.50000	0.50000

3D Systre Key

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Edges

Cell Vectors

1	2
1	2
1	2
1	2
1	3
1	3
2	4
2	4
3	5
3	5
4	5
4	5

0	0	0
0	0	1
1	0	0
1	0	1
0	0	0
0	1	0
0	0	0
0	1	0
0	0	0
0	0	1
-1	0	0
0	0	0

This Systre Net is generated by the following 2 U-tiling(s):

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UQC3268 via the D

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UQC3269 via the P

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc254	*2244	(3,3,2)	{6,4,4}	{4.5.5.4.5.5}{5.5.5.5}{5.5.5.5}