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Customizable pendant

by kakaroto, published

Customizable pendant by kakaroto Feb 14, 2013

Description

This is a customizable pendant of the rhodonea curve and other curves.
This is taken from my curve generator and made into a pendant : thingiverse.com/thing:50249

Recent Comments

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oh, just saw the picture you uploaded, it looks nice! thanks for making it :)

Thanks!
Cool, would love to upload a picture of that. Since I don't have a 3D printer, I couldn't print it and upload a real image of it.

nice pendant used a jade green to make it..............

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Instructions

*UPDATE*: Now supports up to 5 different types of curves. See updated instructions below for more information.

This script will generate a pendant with an artistic rendering of a mathematical curve inside.
It was originally a generator for the Rhodonea curve (Rose).
Here are the equations used for each one of those curves :
Rhodonea curve : x=cos(a/b*t)*sin(t); y=cos(a/b*t)*cos(t)
Epicycloid : x=(a+b)*cos(t)-b*cos(((a/b)+1)*t); y=(a+b)*sin(t)-b*sin(((a/b)+1)*t)
Epitrochoid : x=(a+b)*cos(t)-c*cos(((a/b)+1)*t); y=(a+b)*sin(t)-c*sin(((a/b)+1)*t)
Hypocycloid : x=(a-b)*cos(t)+b*cos(((a/b)-1)*t); y=(a-b)*sin(t)-b*sin(((a/b)-1)*t)
Hypotrochoid: x=(a-b)*cos(t)+c*cos(((a/b)-1)*t); y=(a-b)*sin(t)-c*sin(((a/b)-1)*t)
(See also en.wikipedia.org/wiki/Rose_%28mathematics%29 )


You can set the 'a, 'b', and 'c' parameters to affect the look of the pattern (see en.wikipedia.org/wiki/File:Rose-rhodonea-curve-7x9-chart-improved.svg for example) and chose which pattern type to generate.
The patterns can vary a lot depending on the parameters, even for the same type of curve, so experiment and see what you like. I've created a few remixes that show some of the possibilities.

You can define the thickness of the pattern and outer wall as well as the height of pendant The rose radius will set the radius of the pendant.
The epitrochoid, epicycloid, hypotrochoid and hypocycloid patterns may not fit entirely in the outer circle of the pendant, so you can adjust the "Ring Adjustment" property to make them fit completely, or even to make them go beyond the borders if you think it's nicer that way.

Experiment, create and enjoy!

Note: This is my second attempt at using openscad (the first being thingiverse.com/thing:49590).
This was a lot of work since openscad wasn't made for drawing curves, and it seems I'm the first one to achieve somehting like that.
Thanks for all those who liked the design!

Comments

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andmerr on Mar 8, 2013 said:

nice pendant used a jade green to make it..............

kakaroto on Mar 12, 2013 said:

oh, just saw the picture you uploaded, it looks nice! thanks for making it :)

kakaroto on Mar 9, 2013 said:

Thanks!
Cool, would love to upload a picture of that. Since I don't have a 3D printer, I couldn't print it and upload a real image of it.

geek4ever on Mar 3, 2013 said:

Awesome script.

Did you know that the Epicycloid never touches the outside no matter what settings you choose?

Is it possible to modify the script so that the circles on the outside of the Epicycloid is the actual outside ring?

kakaroto on Mar 4, 2013 said:

Thanks!
Yes, I noticed the epicycloid (and I think hypocycloid too) don't always fit the outer circle, that's because it depends on the parameters, sometimes it will be smaller, and sometimes larger. That's why I added the ring adjustement configuration parameter, it should allow you to make the curve bigger/smaller so it fits and merges with the outer ring of the pendant.

kakaroto on Feb 22, 2013 said:

Note: I've updated the script, hopefully with more realistic values for the radius/thickness/height. I'd love to get a 3D printer to print this to actually see how it appears in real life. so if someone can do that and maybe some me a picture, that would be great!

cyclone on Feb 20, 2013 said:

See now this is a pretty cool customizer script. Well done.

kakaroto on Feb 20, 2013 said:

Thanks! :) I was surprised to see that no one wrote a curve generating script until now :) I had a lot of fun doing it.

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