Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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**benice****Member**- Registered: 2010-06-10
- Posts: 110

**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**.

My Gallery of Math Art: benice equation

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,219

Hi;

Very beautiful. Hypnotic too.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**bob bundy****Moderator**- Registered: 2010-06-20
- Posts: 6,376

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'

'Humanity is still kept intact. It remains within.' -Alokananda

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