Image:Splined epitrochoid.png

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[edit] Summary

Description	Boulder, Colorado By name
Source	self-made
Date	March 05, 2008
Author	dino (talk)
Permission (Reusing this image)	See below.

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[edit] Licensing

I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible,

I grant any entity the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

I made this with SAGE; code follows:

# Five-petaled epitrochoid via splining the points:
# Draw an epitrochoid, fixed circle radius R, rotating circle
# of radius r, pen at distance d from center of rotating circle.

R=5; r=2; d=3; rotations = ((R+r)/r).denom(); v = []; step = 0.2
for t in srange(0, 2*pi*rotations, step):
  v.append(((R+r)*cos(t)-d*cos(((R+r)/r)*t),(R+r)*sin(t)-d*sin(((R+r)/r)*t)))
x_spline = spline([(RDF(i)/len(v), v[i][0]) for i in range(len(v))]+[(1,v[0][0])])
y_spline = spline([(RDF(i)/len(v), v[i][1]) for i in range(len(v))]+[(1,v[0][1])])
show(points(v, rgbcolor=(1,0,0), pointsize=10) + parametric_plot((x_spline, y_spline),0,1,thickness=0.5), figsize=[4,4] )

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	Date/Time	Dimensions	User	Comment
current	02:47, 6 March 2008	400×400 (27 KB)	Dino (Talk \| contribs)	({{Information \|Description=By name \|Source=self-made \|Date=March 05, 2008 \|Location=Boulder, Colorado \|Author=~~~ \|other_versions= }})