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#1 2013-07-04 16:55:23

benice
Member
Registered: 2010-06-10
Posts: 112
Website

Tiling by Nested Polygons

Nested polygons generate logarithmic spiral curves and are good examples of contraction mappings.

We can use nested polygons to tile the plane and get beautiful tessellations:

tiling_by_nested_triangles_a1_s_zps0954fa23.png


tiling_by_nested_triangles_a2_s_zps60f104ec.png

These pictures are very easy to make using GeoGebra.

More tessellations and a few GeoGebra examples are here.

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#2 2013-07-04 18:40:31

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 89,048

Re: Tiling by Nested Polygons

Hi;

Very beautiful. Hypnotic too.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2013-07-04 19:04:30

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,469

Re: Tiling by Nested Polygons

hi benice,

Really beautiful artwork.  Thanks.  smile

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#4 2013-07-05 00:30:28

barbie19022002
Member
Registered: 2013-05-24
Posts: 1,314

Re: Tiling by Nested Polygons

wow....its really very very beautiful


Jake is Alice's father, Jake is the ________ of Alice's father?
Why is T called island letter?
think, think, think and don't get up with a solution...

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#5 2013-07-05 00:38:19

Agnishom
Real Member
From: The Complex Plane
Registered: 2011-01-29
Posts: 18,143
Website

Re: Tiling by Nested Polygons

Hi benice,

so glad to hear from you again


'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 have made another human being happy. There is no greater accomplishment.' -bobbym

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