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Fun Shapes with Pedal Equation

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B+:

--- Quote from: Mike Lobanovsky on April 11, 2017, 10:33:48 PM ---Isn't it supposed to be called "peTal", not "pedal", equation?  ;)

--- End quote ---

I was checking out Andy's Superformula reference
https://en.wikipedia.org/wiki/Superformula

and linked to
superellipse

but no not that ???

somewhere I ran into a description of Superformula that called the main exponent n/(n+1) Pedal equations.

funny I don't remember these:
https://en.wikipedia.org/wiki/Pedal_equation

https://en.wikipedia.org/wiki/Pedal_curve

So this code might just be special cases of Superformula, not Pedal, though Superformula has -1/n1 as main exponent.

Aurel:
wait a moment ...
I don't know how i miss this topic  :-X
It looks to me that this superformula can draw patterns ..right?
based on given shape

i have a look on wikipedia and found this :

function sf2d(n, a)
  u = [0:.001:2 * pi];
  raux = abs(1 / a(1) .* abs(cos(n(1) * u / 4))) .^ n(3) + abs(1 / a(2) .* abs(sin(n(1) * u / 4))) .^ n(4);
  r = abs(raux) .^ (- 1 / n(2));
  x = r .* cos(u);
  y = r .* sin(u);
  plot(x, y);
end

I don't know GNU octave ..so what should be blue part with varible u  ::)
u

ZXDunny:
Aurel: https://octave.org/doc/v4.0.1/Ranges.html

Aurel:
Hi Paul
.so this is array with 3 element
or array with 3 dimension ... i am confused  ::) or am I too rusty  ;D
by the way on link you give me it is represented as ranges ??
i don't know any BASIC which have ranges  ???

ok so far i get this polarPlott
with just circles it looks little bit ...like antenna polar plot

Tomaaz:

--- Quote from: Aurel on May 02, 2019, 05:10:10 PM ---.so this is array with 3 element
or array with 3 dimension ... i am confused  ::) or am I too rusty  ;D

--- End quote ---

I don't know Octave, but it looks like it represents all numbers between 0 and 2 * pi step 0.01.

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