File:Multiple 4-petal rose curves.svg
Summary
| Description |
English: Flower with 4 petals. Multiple 4-petal rose curves created using maxima and defined by the polar equation with and a from 1 to 20 |
| Date | |
| Source | Own work |
| Author | Adam majewski |
| Other versions |
|
| SVG development | Category:Valid SVG created with Gnuplot code#Multiple%204-petal%20rose%20curves.svg  Category:Translation possible - SVGThis plot uses embedded text that can be easily translated using a text editor. |
| Source code | Gnuplot code/*
Batch file for Maxima CAS
save as a o.mac
run maxima :
maxima
and then :
batch("a.mac");
*/
kill(all);
remvalue(all);
ratprint:false; /* It doesn't change the computing, just the warnings. */
display2d:false;
numer: true;
/*
http://mathworld.wolfram.com/Rose.html
r = a* sin(n*t)
If n is odd, the rose is n-petalled.
If n is even, the rose is 2n-petalled.
If n=r/s is a rational number, then the curve closes at a polar angle of theta=pi*s*p, where
p=1 if r*s is odd
p=2 if r*s is even.
If n is irrational, then there are an infinite number of petals.
*/
RoseCurve_Polar(n, a):=
/* polar(radius, ang, minang, maxang) */
polar(a*sin(n*t),t,0,2*%pi)$
RoseCurves_Polar(n, aMin, aMax, aStep):= block(
[a,l, ll],
ll:[],
for a:aMin step aStep thru aMax do (
l:RoseCurve_Polar(n,a),
ll: cons(l,ll)
),
return (ll)
)$
n:2;
ll:RoseCurves_Polar(n, 1, 20,0.5)$
load(draw);
/* strings */
path:""$ /* if empty then file is in a home dir , path should end with "/" */
FileName: string(n)$
draw2d(
terminal = svg,
file_name = sconcat(path, FileName,""),
title = "",
dimensions = [1000, 2000],
nticks=300,
ll)$
|
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