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#1 2013-07-05 14:55:23

benice
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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:

http://i1216.photobucket.com/albums/dd371/benice_chen/tiling_by_nested_triangles_a1_s_zps0954fa23.png


http://i1216.photobucket.com/albums/dd371/benice_chen/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.


My Gallery of Math Art: benice equation
 

#2 2013-07-05 16:40:31

bobbym
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Re: Tiling by Nested Polygons

Hi;

Very beautiful. Hypnotic too.


In mathematics, you don't understand things. You just get used to them.
I have the result, but I do not yet know how to get it.
All physicists, and a good many quite respectable mathematicians are contemptuous about proof.
 

#3 2013-07-05 17:04:30

bob bundy
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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
 

#4 2013-07-05 22:30:28

barbie19022002
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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...
 

#5 2013-07-05 22:38:19

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

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