File:Epitrochoid512.svg

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Epitrochoid512.svg‎ (SVG file, nominally 256 × 256 pixels, file size: 25 KB)

[edit] Summary

Description

Epitrochoid made with gnuplot (see code below) whose parametric equations are:

x = (R + r)\cos\theta - d\cos\left({R + r \over r}\theta\right),\,
y = (R + r)\sin\theta - d\sin\left({R + r \over r}\theta\right).\,

where R = 5, r = 1, d = 2.
Date

26 January 2008(2008-01-26)
Source

Own work
Author

Ote
Permission
(Reusing this image)

See below

[edit] Gnuplot code

R=5.0
r=1.0
d=2.0
a=pi/4
set size ratio -1
set nokey
set nox2tics
set noy2tics
set zeroaxis lt -1
set grid
set noborder
set style line 1 linecolor 3 linewidth 3
set style line 2 linecolor -1 linewidth 3
set style line 3 linecolor 1 linewidth 3
set style line 4 linecolor 1 linewidth 5 pointtype 0 
set style line 5 linecolor -1 linewidth 5 pointtype 0 
set style line 6 linecolor -1 linewidth 1
set arrow from (R+r)*cos(a),(R+r)*sin(a) to (R+r)*cos(a) - d*cos((R+r)*a/r),(R+r)*sin(a) - d*sin((R+r)*a/r) nohead ls 6
set parametric
set samples 300
x1(t)=R*cos(t)
y1(t)=R*sin(t)
x2(t)=(R+r)*cos(a)+r*cos(t)
y2(t)=(R+r)*sin(a)+r*sin(t)
x3(t)=(R+r)*cos(t) - d*cos((R+r)*t/r)
y3(t)=(R+r)*sin(t) - d*sin((R+r)*t/r)
plot x1(t),y1(t) ls 1, x2(t),y2(t) ls 2, x3(t),y3(t) ls 3, '-' using ((R+r)*cos(a) - d*cos((R+r)*a/r)):((R+r)*sin(a) - d*sin((R+r)*a/r)) ls 4, '-' using ((R+r)*cos(a)):((R+r)*sin(a)) ls 5
0	0
e
0	0
e

[edit] Licensing

Public domain 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 anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current13:52, 27 January 2008Thumbnail for version as of 13:52, 27 January 2008256×256 (25 KB)Ote (talk | contribs) (== Summary == {{Information |Description=Epitrochoid made with gnuplot (see code below) whose parametric equations are: :<math>x = (R + r)\cos\theta - d\cos\left({R + r \over r}\theta\right),\,</math> :<math>y = (R + r)\sin\theta - d\sin\left({R + r \over)
19:40, 26 January 2008Thumbnail for version as of 19:40, 26 January 2008256×256 (24 KB)Ote (talk | contribs) ({{Information |Description=Epitrochoid made with gnuplot (see code below) whose parametric equations are: :<math>x = (R + r)\cos\theta - d\cos\left({R + r \over r}\theta\right),\,</math> :<math>y = (R + r)\sin\theta - d\sin\left({R + r \over r}\theta\righ)

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