Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -

Login

Username

Password

Not registered yet?

#1 2013-04-15 07:24:37

berliner
Full Member

Offline

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.


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


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

#2 2013-04-17 04:41:30

berliner
Full Member

Offline

Re: Berliner's aperiodic tiling

Hi everyone;

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


Uploaded Images
View Image: penrose4.png      


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

#3 2013-04-17 11:32:38

Agnishom
Real Member
Award: Wink Sherlock

Online

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'
'Who are you to judge everything?' -Alokananda
 

#4 2013-04-17 14:57:30

berliner
Full Member

Offline

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
 

#5 2013-04-25 02:07:19

berliner
Full Member

Offline

Re: Berliner's aperiodic tiling

New tessellation. I hope you enjoy it!


Uploaded Images
View Image: Aperiodic tiling2.png      


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

#6 2013-04-25 03:53:30

Mrwhy
Full Member

Offline

Re: Berliner's aperiodic tiling

How did you invent these tilings

can it be done in 3 dimensions?

 

#7 2013-04-25 05:36:53

berliner
Full Member

Offline

Re: Berliner's aperiodic tiling

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


Uploaded Images
View Image: square.png      


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

#8 2013-04-26 10:19:32

mathgogocart
Super Member

Offline

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! ")coolcool


Hey.
 

Board footer

Powered by FluxBB