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**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**.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 94,576

Hi;

Very beautiful. Hypnotic too.

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

**If it ain't broke, fix it until it is.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,913

hi benice,

Really beautiful artwork. Thanks.

Bob

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

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

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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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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