Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#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

Offline

#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

Offline

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

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 17,134
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'
'You made a human being happy! There is no further achievement.' -bobbym

Online

#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

Offline

#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

Offline

#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?

Offline

#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

Offline

#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.

Offline

Board footer

Powered by FluxBB