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

benice
Member
Registered: 2010-06-10
Posts: 112
Website

Rolling Regular Polygons around a Circle

Rolling Regular Polygons around a Circle:

(1) Polygonal Epicycloid

(2) Polygonal Epitrochoid (new!)


polygonal_epitrochoid_parameters.gif

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

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 105,270

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.
No great discovery was ever made without a bold guess.

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

bob bundy
Moderator
Registered: 2010-06-20
Posts: 7,651

Re: Rolling Regular Polygons around a Circle

hi benice,

That's real mathematical beauty.  Excellent!  smile

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: 112
Website

Re: Rolling Regular Polygons around a Circle

Hello everyone!

Thank you for your appreciation. smile

Polygonal Epitrochoid

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 105,270

Re: Rolling Regular Polygons around a Circle

Hi benice;

Those are really cool! Here is my favorite:

polygonal_epitrochoid_n5_k3_theta0_5t2_dbplusa.gif


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
No great discovery was ever made without a bold guess.

Online

#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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