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## #1 2011-11-22 00:41:30

benice
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### Rolling Regular Polygons around a Circle

Rolling Regular Polygons around a Circle:

(1) Polygonal Epicycloid

(2) Polygonal Epitrochoid (new!)

Last edited by benice (2011-11-28 21:14:22)

My Gallery of Math Art: benice equation

## #2 2011-11-22 00:46:54

bobbym

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### Re: Rolling Regular Polygons around a Circle

Hi benice;

Good use of geogebra!

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 2011-11-22 00:52:10

bob bundy
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### Re: Rolling Regular Polygons around a Circle

hi benice,

That's real mathematical beauty.  Excellent!

Bob

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

## #4 2011-11-28 00:51:00

benice
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### Re: Rolling Regular Polygons around a Circle

Hello everyone!

Polygonal Epitrochoid

My Gallery of Math Art: benice equation

## #5 2011-11-28 01:16:09

bobbym

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### Re: Rolling Regular Polygons around a Circle

Hi benice;

Those are really cool! Here is my favorite:

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.

## #6 2011-12-02 10:59:49

John E. Franklin
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### Re: Rolling Regular Polygons around a Circle

When a corner is pivoting, all is easy, however, when the edge of the polygon is rolling of the circle, things get harder, in my "at a glance" opinion.  Consider rolling along a flat edge  instead of a circle, then the edge rolling doesn't happen.

igloo myrtilles fourmis