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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.

View Image: bberliner.png View Image: berliner1.png View Image: longsquare.png

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!

View Image: penrose4.png

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

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 15,375
Website

Re: Berliner's aperiodic tiling

Looks wonderful


'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'
'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'
'Humanity is still kept intact. It remains within.' -Alokananda

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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!

View Image: Aperiodic tiling2.png

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

View Image: square.png

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

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

mathgogocart
Member
Registered: 2012-04-29
Posts: 1,426

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:


Hey.

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