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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
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Re: Berliner's aperiodic tiling

Looks wonderful


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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: 2,226

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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