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

You are not logged in.

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

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

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)


My Gallery of Math Art: benice equation

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,301

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,378

Re: Rolling Regular Polygons around a Circle

hi benice,

That's real mathematical beauty.  Excellent!  smile

Bob


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

Offline

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

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

Re: Rolling Regular Polygons around a Circle

Hello everyone!

Thank you for your appreciation. smile

Polygonal Epitrochoid


My Gallery of Math Art: benice equation

Offline

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

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 86,301

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.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

Online

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

John E. Franklin
Member
Registered: 2005-08-29
Posts: 3,562

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

Offline

Board footer

Powered by FluxBB