Math Is Fun Forum

benice

Member

Registered: 2010-06-10

Posts: 117

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:

These pictures are very easy to make using GeoGebra.

More tessellations and a few GeoGebra examples are here.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Tiling by Nested Polygons

Hi;

Very beautiful. Hypnotic too.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Bob

Administrator

Registered: 2010-06-20

Posts: 10,621

Re: Tiling by Nested Polygons

hi benice,

Really beautiful artwork.  Thanks. 

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

barbie19022002

Member

Registered: 2013-05-24

Posts: 1,314

Re: Tiling by Nested Polygons

wow....its really very very beautiful

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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...

Agnishom

Real Member

From: Riemann Sphere

Registered: 2011-01-29

Posts: 24,996

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Re: Tiling by Nested Polygons

Hi benice,

so glad to hear from you again

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'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'
I'm not crazy, my mother had me tested.