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## #1 2011-11-21 01:41:30

benice
Member
Registered: 2010-06-10
Posts: 114
Website

### Rolling Regular Polygons around a Circle

Rolling Regular Polygons around a Circle:

(1) Polygonal Epicycloid

Last edited by benice (2011-11-27 22:14:22)

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## #2 2011-11-21 01:46:54

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,418

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #3 2011-11-21 01:52:10

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,918

### Re: Rolling Regular Polygons around a Circle

hi benice,

That's real mathematical beauty.  Excellent!

Bob

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

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## #4 2011-11-27 01:51:00

benice
Member
Registered: 2010-06-10
Posts: 114
Website

### Re: Rolling Regular Polygons around a Circle

Hello everyone!

Polygonal Epitrochoid

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## #5 2011-11-27 02:16:09

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,418

### 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.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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## #6 2011-12-01 11:59:49

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,588

### 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

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