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Cycloids

I love interesting geometric designs, and the cycloid is one of my all-time favorites. Perhaps you’ve drawn cycloids using a Spirograph toy and a pen or pencil.

Being a nerd, I typically draw cycloids using my computer. Here’s an example of how a computer program draws a hypo-cycloid (an epi-cycloid would have the drawing “gear” on the outside of the big circle)…

“Spirograph” Gear in Position #1 “Spirograph” Gear in Position #2

If you use your imagination, you can see that the small “gear” is rolling along the inside surface of the large circle in a counter-clockwise fashion.

Here are some fun cycloid designs that I made a long time ago…

Cycloid Art #1 Cycloid Art #2
Cycloid Art #3 Cycloid Art #4
Cycloid Art #5 Cycloid Art #6
Cycloid Art #7 Cycloid Art #8
Cycloid Art #9 Cycloid Art #10
Cycloid Art #11 Cycloid Art #12
Cycloid Art #13 Cycloid Art #14
Cycloid Art #15  


Comments

Comment from jeff
Time 2007/09/21 at 9:50 am

These are pretty cool. Did you use an existing program, or write something yourself to generate them?

Comment from Jed
Time 2007/09/21 at 11:16 am

Thanks! I generated them with a program that I wrote in C++ using the Windows GDI+ graphics libraries. Someday I’ll have to post an applet version of the program.

Comment from Anonymous
Time 2007/09/29 at 10:58 pm

These are cool! When are you going to get the “cycloid” back on your website? (When are you going to get your website up again? :) ) I enjoyed using it.

BethanyH

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