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## #1 2013-04-14 09:24:37

berliner
Member
Registered: 2013-04-02
Posts: 69

### Berliner's aperiodic tiling

We all know what are the tessellations. If you just look at a tiled floor you see a regular tiling, then there are aperiodic tiling, which don't have a pattern. Here there are two aperiodic tiling. In picture 1 there is an aperiodic tiling with two tiles. In picture 2 you will see where I got the tiles. In picture 3 there's another aperiodic tiling whit one only tile.

Mathematichs is the queen of sciences - C. F. Gauss

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## #2 2013-04-16 06:41:30

berliner
Member
Registered: 2013-04-02
Posts: 69

### Re: Berliner's aperiodic tiling

Hi everyone;

I made a new tessellation. I hope you enjoy it!

Mathematichs is the queen of sciences - C. F. Gauss

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## #3 2013-04-16 13:32:38

Agnishom
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From: Riemann Sphere
Registered: 2011-01-29
Posts: 24,859
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### Re: Berliner's aperiodic tiling

Looks wonderful

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'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
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## #4 2013-04-16 16:57:30

berliner
Member
Registered: 2013-04-02
Posts: 69

### Re: Berliner's aperiodic tiling

Thanks! I would like to make these more bigger, but I have a problem to post the picture beacuse of its size.

Mathematichs is the queen of sciences - C. F. Gauss

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## #5 2013-04-24 04:07:19

berliner
Member
Registered: 2013-04-02
Posts: 69

### Re: Berliner's aperiodic tiling

New tessellation. I hope you enjoy it!

Mathematichs is the queen of sciences - C. F. Gauss

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## #6 2013-04-24 05:53:30

Mrwhy
Member
Registered: 2012-07-02
Posts: 52

### Re: Berliner's aperiodic tiling

How did you invent these tilings

can it be done in 3 dimensions?

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## #7 2013-04-24 07:36:53

berliner
Member
Registered: 2013-04-02
Posts: 69

### Re: Berliner's aperiodic tiling

I never thought to did these in 3D, I will think...
The picture shows the tilings

Mathematichs is the queen of sciences - C. F. Gauss

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## #8 2013-04-25 12:19:32

Mathegocart
Member
Registered: 2012-04-29
Posts: 1,965

### Re: Berliner's aperiodic tiling

berliner wrote:

We all know what are the tessellations. If you just look at a tiled floor you see a regular tiling, then there are aperiodic tiling, which don't have a pattern. Here there are two aperiodic tiling. In picture 1 there is an aperiodic tiling with two tiles. In picture 2 you will see where I got the tiles. In picture 3 there's another aperiodic tiling whit one only tile.

Wow,cool! "):cool::cool:

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