Euclidean Patterns in Non-Euclidean Tilings

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sqc2147

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« sqc2146	sqc2148 »

Vertex Degree:	{3,3,8}
Transitivity (vertex,edge):	(3,3)
Nodes/Primitive Unit Cell:	9
Nodes/Asymmetric Unit:	3
Other Names:	--
Spacegroup:	I-4m2
Symmetry Class:	tetragonal
Long Vectors:	N

Full image

CrystalMaker Unit Cell CM File

Unit Cell:

a	b	c	alpha	beta	gamma
2.96983	2.96983	2.86139	90.0	90.0	90.0

Atoms:

Number	Coord	X-pos	Y-pos	Z-pos
1	8	0.00000	0.00000	0.00000
2	3	0.23810	0.23810	0.00000
3	3	0.00000	0.16261	0.30603

Coordination Sequences:

c1	c2	c3	c4	c5	c6	c7	c8	c9	c10
8	16	20	54	92	92	140	222	232	280
3	11	28	45	71	114	149	181	246	307
3	11	27	41	66	113	144	175	244	299

Edges:

Start Position (X,Y,Z)			End Position (X,Y,Z)
0.00000	0.00000	0.00000	-0.23810	-0.23810	0.00000
0.00000	0.00000	0.00000	-0.16261	0.00000	-0.30603
0.00000	0.16261	0.30603	-0.26190	0.26190	0.50000

3D Systre Key

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Edges

Cell Vectors

1	2
1	3
1	4
1	5
1	6
1	7
1	8
1	9
2	6
2	7
3	5
3	7
4	8
4	9
5	9
6	8

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

This Systre Net is generated by the following 1 U-tiling(s):

Full image

UQC895 via the G

And the following 1 h-nets:

Image	Tiling	Orbifold	Transitivity (Vert,Edge,Face)	Vertex Degree	Vertex Symbol
	hqc86	*488	(2,2,2)	{3,8}	{8.12.12}{12.12.12.12.12.12.12.12}