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Modeling A Wavy Ring


mgajewski

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I'd like to model a wavy ring - just picture a sinusoidal wave that you then bend into a perfect circle such that the side view is a wave and the top view is a circle - as shown in my attached (clumsy) sketch.

 

Any tips would be greatly appreciated smile.gif

post-1600-1116948457_thumb.jpg

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If you are trying to create something like in the image attached, you can create it with cylinders and the TriBall. Create your base ring size with extra thickness. Add a h-cylinder to cut the thickness. Use the Triball to Rotate Copy and then add blends to the remaining edges. Then Mirror the h-cylinders and ad blends to that side. Hope That helps.

Cary

ring.gif

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Thanks, Alex - that is a clean and elegant solution - I'm going to experiment with it.

 

You might want to check out http://www1.kcn.ne.jp/~iittoo/us27f_mobi.htm

- they explain formulas that describe the edge and surface of a Mobius strip.

 

I've also found this:

 

A parametric representation of a Mobius strip, with its centre-line a circle of radius r in the xy plane, and with a width of (2 * w), is as follows:

x = ((r + (t * cos(u / 2))) * cos(u))

y = ((r + (t * cos(u / 2))) * sin(u))

z = (t * sin(u / 2))

0 ≤ t ≤ w

(0 ≤ u ≤ (4 * π))

r = 5 and w = 1 draws a pretty good Mobius strip.

 

The parameterisation also works with the intervals:

-w ≤ t ≤ w

(0 ≤ u ≤ (2 * π))

 

 

Mark

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Cary,

 

Thanks for the tip.

 

I'll have to try this - I want to see if the sine curve will wrap itself all the way around the cylinder (360 degrees) without getting distorted. I thought that projecting curves worked like slide projection (parallel)... or am I missing something from your suggestion?

 

Mark

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Over all it would be nice to have a collection of formulas for that tool.

As a mathematic NoNo I have absolutely no idea what I might type in.

So it would be nice to have the collection with a preview picture.

Carlo

Edited by cborer
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Guest IronKevin

There are a number of sample formulas listed under the Settings drop-down menu in the Formula Curve dialog.

 

IK

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