Re: Super elipse's

>Any one know the formula for creating a "super elipse" I hear that there is a
>formula for it like for the "golden section".
>
>Thanks in advance...
>
The only reference I have to super-ellipses is from Martin Gardner who
referred to someone designing the plan of Sergel's Square in Stockholm to
one. The formula is:

abs(x/a)^m + abs(y/b)^m = 1

where abs(...) means absolute value of ...
a, b define the bounding rectangle
m defines how 'rounded' the super-ellipse is

In the case of Sergel's square, a/b = 6/5 and m = 2.5
A value of m=2 generates an ellipse. Greater than 2 generates a
superellipse, sort of an ellipse that thinks its a rectangle. When m =
infinity, the result is a rectangle. M < 2 gives weird shapes.

Garry Stevens
Dept of Architectural and Design Science
University of Sydney
NSW 2006
AUSTRALIA
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