File:Lemniscate of Booth.png
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Size of this preview: 800 × 400 pixels. Other resolutions: 320 × 160 pixels | 640 × 320 pixels | 1,024 × 511 pixels | 1,280 × 639 pixels | 3,700 × 1,848 pixels.
Original file (3,700 × 1,848 pixels, file size: 65 KB, MIME type: image/png)
Summary
A graph of the Lemniscate of Booth. Black is c=0.25, red is c=0.5, green is c=0.75, blue is c=1. Creating using MathPad and GraphicConverter. MathPad source is:
lob(x,c)=sqrt(-2+2*c-min(x,0)^2+2*sqrt(1-2*c+c^2+min(x,0)^2)) Xmin=-2 Xmax=2 plot lob(X,0.25) plot lob(X,0.5) plot lob(X,0.75) plot lob(X,1) plot -lob(X,0.25) plot -lob(X,0.5) plot -lob(X,0.75) plot -lob(X,1)
Licensing
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I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law. |
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 03:37, 20 June 2006 | | 3,700 × 1,848 (65 KB) | wikimediacommons>Foobaz | A graph of the w:Lemniscate of Booth. Black is c=0.25, red is c=0.5, green is c=0.75, blue is c=1. Creating using w:MathPad and w:GraphicConverter. MathPad source is: <pre> lob(x,c)=sqrt(-2+2*c-min(x,0)^2+2*sqrt(1-2*c+c^2+min(x,0)^2)) Xmin= |
File usage
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