![Made with Sage; code is as 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), (x, 0, 1), thickness=0.5), figsize=[4, 4], ticks=[2.5, 2.5], xmin=-10)](http://upload.wikimedia.org/wikipedia/commons/5/59/Splined_epitrochoid.svg)
Size of this PNG preview of this SVG file: 369 × 363 pixels. Other resolutions: 244 × 240 pixels | 488 × 480 pixels | 781 × 768 pixels | 1,041 × 1,024 pixels | 2,082 × 2,048 pixels.
Original file (SVG file, nominally 369 × 363 pixels, file size: 51 KB)
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Summary
This diagram was created with SageMath.
| Description |
Made with Sage; code is as 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), (x, 0, 1), thickness=0.5),
figsize=[4, 4], ticks=[2.5, 2.5], xmin=-10)
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| Date | (UTC) |
| Source |
This file was derived from: Splined epitrochoid.png:  |
| Author |
|
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This is a retouched picture, which means that it has been digitally altered from its original version. Modifications: Vectorized. The original can be viewed here: Splined epitrochoid.png: .
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Licensing
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This work has been released into the public domain by its author, dino, at the English Wikipedia project. This applies worldwide. In case this is not legally possible: |
Original upload log
This image is a derivative work of the following images:
- File:Splined_epitrochoid.png licensed with PD-user-w
- 2010-07-25T20:52:50Z Aleksd 400x400 (27936 Bytes) {{Information |Description=made 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 rota
Uploaded with derivativeFX
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 08:28, 29 January 2012 | | 369 × 363 (51 KB) | InverseHypercube | proper domain and ticks |
| 08:20, 29 January 2012 |  | 366 × 373 (41 KB) | InverseHypercube | == {{int:filedesc}} == {{Information |Description=Made with Sage; code is as follows: <source lang="python"> # Five-petaled epitrochoid via splining the points: # Draw an epitrochoid, fixed circle radius R, rotating circle # of radius r, pen at distance |
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