Title: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on December 11, 2011, 12:53:33 AM Circle Rolling around Rolling Circle (1) (http://benice-equation.blogspot.com/2011/12/circle-rolling-on-rolling-circle-1.html)
* Circle 1 rolls around inside of the fixed base circle. * Circle 2 rolls around inside of Circle 1. (http://i1216.photobucket.com/albums/dd371/benice_chen/hypo_hypotrochoid_001.gif) (http://benice-equation.blogspot.com/2011/12/circle-rolling-on-rolling-circle-1.html) Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on January 10, 2012, 04:01:32 AM Circle Rolling around Rolling Circle (2) (http://benice-equation.blogspot.com/2012/01/circle-rolling-on-rolling-circle-2.html)
* Circle 1 rolls around inside of the fixed base circle. * Circle 2 rolls around outside of Circle 1. Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on January 27, 2012, 09:07:43 PM Circle Rolling around Rolling Circle (3) (http://benice-equation.blogspot.com/2012/01/circle-rolling-on-rolling-circle-3.html)
* Circle 1 rolls around outside of the fixed base circle. * Circle 2 rolls around inside of Circle 1. Circle Rolling around Rolling Circle (4) (http://benice-equation.blogspot.com/2012/01/circle-rolling-on-rolling-circle-4.html) * Circle 1 rolls around outside of the fixed base circle. * Circle 2 rolls around outside of Circle 1. Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on January 27, 2012, 09:14:43 PM Sumo Wrestler (http://benice-equation.blogspot.com/2011/12/sumo-wrestler.html)
(http://i1216.photobucket.com/albums/dd371/benice_chen/sumo_wrestler_320x320.gif) (http://benice-equation.blogspot.com/2011/12/sumo-wrestler.html) Insect-like Spirograph (http://benice-equation.blogspot.com/2012/01/spiro-insect.html) Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on January 27, 2012, 09:24:59 PM Fractal Spirograph (Fractal Roulette) (http://benice-equation.blogspot.com/2012/01/fractal-spirograph.html)
(http://i1216.photobucket.com/albums/dd371/benice_chen/fractal_spirograph_001.gif) (http://benice-equation.blogspot.com/2012/01/fractal-spirograph.html) Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: eiffie on January 28, 2012, 06:11:16 PM I really like these and have been meaning to try them in 3d. More please!
Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: DarkBeam on January 28, 2012, 07:10:12 PM Oh well! Torus knots are a torical spirograph-thingy. :dink: Only, you must twist using two different axis. :surf:
"Fractal spirograph" :surprised: sounds too funny! :dance: Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: knighty on January 28, 2012, 07:24:55 PM Nicely done fractal spirograph. Awesome!
Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: cKleinhuis on January 28, 2012, 07:27:17 PM dudes, the fractal spirograph looks like the front (- real axis ) of the mandelbrot!
Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: bib on January 28, 2012, 07:28:37 PM Remember the "fracta"l spirographs from Jason Padgett? http://fineartamerica.com/profiles/jason-padgett.html
Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: eiffie on February 02, 2012, 05:16:17 PM I had to try it in 3d. Couldn't think of a distance estimate to the path so I cheated and used lights.
http://www.youtube.com/watch?v=PlIJT__eFR0 Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: marius on February 02, 2012, 06:14:11 PM I had to try it in 3d. Couldn't think of a distance estimate to the path so I cheated and used lights. fantastic! Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: yv3 on February 02, 2012, 08:21:26 PM a very nice "try"!
Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on February 02, 2012, 11:34:15 PM Hi All,
You are welcome and thanks for your appreciation. Hi bib, Thanks for the link to Jason Padgett's page. Hi eiffie, Your 3d light printer is really awesome. In the picture of Reply #4, the ratio of the radii of any two adjacent circles is 3. And the speeds of the rolling circles are 1, -5, 20, -80, 320, .... Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: matsoljare on February 03, 2012, 12:15:55 PM Any chance for a Flash or Java version of this?
Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on February 09, 2012, 11:56:12 PM Any chance for a Flash or Java version of this? GeoGebra is written in Java. But I am not familiar with Java.Title: Happy Valentine's Day Post by: benice on February 09, 2012, 11:59:10 PM Making Love ♥ (http://benice-equation.blogspot.com/2012/02/making-love.html)
(http://i1216.photobucket.com/albums/dd371/benice_chen/making_love_heart.gif) (http://benice-equation.blogspot.com/2012/02/making-love.html) Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: Sockratease on February 10, 2012, 01:00:12 AM OK, that it.
These are Wonderful O0 You have to post a tutorial of how to do these things! This is GeoGebra, right? I downloaded it, installed it, but haven't had much time to explore it :'( Is there a tutorial out there for making any such animations? If not (and you have some spare time), please make a short one, just showing the basics of what steps are involved would be really helpful. These look like entirely too much fun to play with! Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: benice on February 10, 2012, 11:06:56 PM Is there a tutorial out there for making any such animations? Animationhttp://wiki.geogebra.org/en/Animation (http://wiki.geogebra.org/en/Animation) Title: Re: Fun with Dynamic Spirograph: Circle Rolling around Rolling Circle Post by: Sockratease on February 11, 2012, 01:20:47 AM Many Thanks O0 I completely missed the link to the wiki. I'll be sure to post if I come up with something interesting. |