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1-Visitor
August 27, 2014
Solved

Equation guru's

  • August 27, 2014
  • 1 reply
  • 2806 views

Hi all, is it possible to define the curve shape shown in the attached image by equation only? I know this can be done using surfaces & trapar, then just coping the resultant edge, but i was just trying to simplify my approach. (its the star shape i am after).

STAR.JPG

Regards

John

    Best answer by psobejko

    How about this one?star+shaped+curve+from+equation.jpg

    1 reply

    psobejko1-VisitorAnswer
    1-Visitor
    August 27, 2014

    How about this one?star+shaped+curve+from+equation.jpg

    17-Peridot
    August 27, 2014

    yep, pretty straight forward...

    the key element is R

    Cos() and Sin() work similarly; it tells it how to start. Each has a value range of -1 to 1. Sin starts at and ends at 0, cos starts at 1and ends at 1.

    (360*8) is the number of cycles (360 is one full cycle)

    To keep the equation "positive", the initial radius is set to 1

    Theta just says to rotate once (360 degrees) by saying "t*360" it specifies a range from 0 to 360.

    Z... well Z is Z. You can operate on Z is you want somethign like a helix.

    Notice that the "type" of equation is cylindrical. Remember to pick a CSYS.

    star.PNG

    17-Peridot
    August 27, 2014

    ... T is essentially trajpar. Trajpar is always 0 to 1... where in the equation, you can extend the range of T.