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December 9th, 2011, 02:41 AM  #1 
Newbie Joined: Jan 2011 Posts: 25 Thanks: 0  [Dynamic Spirograph] Circle Rolling around Rolling Circle Circle Rolling around Rolling Circle (1) [color=#0099FF]Circle 1[/color] rolls around inside of the fixed [color=#009900]base circle[/color]. [color=#0000FF]Circle 2[/color] rolls around inside of [color=#0099FF]Circle 1[/color]. 
December 9th, 2011, 05:27 AM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: [Dynamic Spirograph] Circle Rolling around Rolling Circl
This is my favorite animation yet!

December 11th, 2011, 06:45 AM  #3 
Member Joined: Aug 2011 Posts: 85 Thanks: 1  Re: [Dynamic Spirograph] Circle Rolling around Rolling Circl
A pentagram. Which is abundant in phi relations. Is there anywhere phi does not show up?

January 9th, 2012, 06:10 PM  #4 
Newbie Joined: Jan 2011 Posts: 25 Thanks: 0  Circle Rolling around Rolling Circle (2) Circle Rolling around Rolling Circle (2) Circle 1 rolls around inside of the fixed base circle. Circle 2 rolls around outside of Circle 1. 
January 10th, 2012, 06:46 PM  #5 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: [Dynamic Spirograph] Circle Rolling around Rolling Circl
Very mesmerizing! It reminds me a bit of spirographic programs I used to write when I "discovered" trigonometry. 
January 27th, 2012, 10:41 AM  #6 
Newbie Joined: Jan 2011 Posts: 25 Thanks: 0  Re: [Dynamic Spirograph] Circle Rolling around Rolling Circl Circle Rolling around Rolling Circle (3) Circle 1 rolls around outside of the fixed base circle. Circle 2 rolls around inside of Circle 1. Circle Rolling around Rolling Circle (4) Circle 1 rolls around outside of the fixed base circle. Circle 2 rolls around outside of Circle 1. Sumo Wrestler Insectlike Spirograph . 
February 8th, 2012, 06:12 PM  #7 
Newbie Joined: Jan 2011 Posts: 25 Thanks: 0  Re: [Dynamic Spirograph] Circle Rolling around Rolling Circl 

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