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Parametric Formula Plugin
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In his website, Paul Bourke provides an interesting formula called the SuperEllipse

Transformed to Softimage Parametric_Formula it is:

sign(cos(u)) pow(abs(cos(u)),c1) sign(cos(v)) pow(abs(cos(v)),c6)
sign(sin(u)) pow(abs(sin(u)),c1)
sign(cos(u)) pow(abs(cos(u)),c1) sign(sin(v)) pow(abs(sin(v)),c6)

bounded by u from 0 to 2
*PI and v from 0 to PI

For c1 between 0.2 and 3 and for c6 between 0.2 and 3, we get quite interesting shapes.

Here some examples. Try It!



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  • Nensi
  • Posted: 04 June 2010 06:19 PM

That seems pretty good to me and I hope you will keep up the good work in future as well.



640-822 and 352-001 study guide 1z0-146 and 1z0-047

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Thank you Nensi.

I have had to stop working on the plugin for a bit due to higher work priorities but things are slowing down now that I can go back to it.

Future work includes:

a.  New create mesh button to create a polygon mesh instead of converting nurbs to mesh.
b.  Automatic UV for mesh
c.  Optimization of the plugin
d.  Implicit formulas
e.  Help file

f.  Maybe even try to use ICE to create the shapes (that would be interesting, got some ideas a la Grasshopper/Rhino but I need to dig very deep on that one, I don’t take “you can’t do it” for an answer)

I have generated some interesting seashell shapes. I will put the formulas up soon.

Cheers!

Author: Daniel Brassard

Replied: 05 June 2010 02:51 PM  
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  • langdon
  • Posted: 08 June 2010 11:10 AM

Thanks for sharing this.



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  • xbox360
  • Posted: 16 November 2010 05:30 AM

You eliminate theta.
cos theta = x + 4
sin theta = y - 1
But cos^T + sin^2T = 1
Equation of circle is (x + 4)^2 + (y - 1)^2 = 1



xbox360

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Hi XBox360

What is your question?

BTW cos^2T + sin^2T = 1 therefore

(x+4)^2+(y-1)^2=1 will be the unit circle centered at position (-4,1)



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Seashell formula experiments with PFormula.



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For those interested,

Using my work on the Parametric Formula plugin, I am moving to ICE with the added flexibility of dynamic controls. This thread is a good example on how to create topology with ICE.

See you over at SI-Community!

http://www.si-community.com/community/viewtopic.php?f=41&t=1942

Cheers!

Dan



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