Sketching a Superellipse

[Paulzuki]

Hi,





I have been looking into sketching a Superellipse from an equation. The first equation I triedwas based on cartesian's so not suitable for Pro/E.I have been trying to use the parametric varient but with no sucess. Has anyone tried to sketch a superellipse from an equation with any sucess. Any help would be appreciated.


Regards,


Paul

 

[jeff4136]

Math beyond simple arithmetic makes me dizzy,
but I don't think ...
"based on cartesian's so not suitable for Pro/E"
... makes any sense at all.


Try something like
x = 4 * cos(t * 360)^3
y = 3 * sin(t * 360)^3


You'll probably find that, except for odd integer
exponents you'll want to solve for (t*90) and mirror.
As ...
x = 4 * cos(t * 90)^8
y = 3 * sin(t * 90)^8
or
x = 4 * cos(t * 90)^(2/5)
y = 3 * sin(t * 90)^(2/5)


If you're wondering why ...
(-1)^(1/2) = ?
(-1)^2 = ?


Not sure what the object of the game is, but you
might also consider using sketcher conics.


(Watch the ends. Something like ^.1 leaves them shy
of the mark.)

(mathworld.wolfram.com does have a polar expression for
the curve. Over my head but you might want to check
it out.)

 

[Paulzuki]

Jeff,


Thanks for the info. You first statement is correct, what I actually meant to say was the form of the quation Iwas originally given did not lend itself to the form that could be given to Pro/e so that it would work.


I managed to solve the problem yesterday using the (t*90) and mirroring as you have suggested.





Once again thanks for your help.





Paul