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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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #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

Online

### 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.
Probability is the most important concept in modern science, especially as nobody has the slightest notion what it means.
90% of mathematicians do not understand 90% of currently published mathematics.

## #6 2011-12-02 10:59:49

John E. Franklin
Star Member

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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.

Imagine for a moment that even an earthworm may possess a love of self and a love of others.