File:Torus revolution plot.png
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Torus_revolution_plot.png (346 × 252 pixels, file size: 111 KB, MIME type: image/png)
Captions
Captions
An illustration of the generation of a torus as a surface of revolution
Summary
[edit]
This diagram was created with Mathematica.
| Description |
English: An illustration of the generation of a torus as the surface of revolution of a circle. The circle that the torus is derived from is shown in black, and the torus has a gradient opacity to better depict the process of revolving the circle. An arrow in the center shows the axis around which the circle is revolved. |
| Date | |
| Source | Own work |
| Author | Lemondoge |
| Source code | Mathematica codek[a_, b_, t_] := a + (b - a)*t^3
donut = Show[
RevolutionPlot3D[{2 + Cos[t], Sin[t]}, {t, 0, 2 Pi},
ColorFunction ->
Function[{x, y, z, t, \[Theta]},
RGBColor[k[0.880722, 0, \[Theta]], 0.611041,
k[0.142051, 1, \[Theta]], 1 - \[Theta]^3]], Boxed -> False,
Axes -> False, PlotRangePadding -> None],
ParametricPlot3D[{2 + Cos[t], 0, Sin[t]}, {t, 0, 2 Pi},
PlotStyle -> {Thick, Black}],
Graphics3D[{
Thick, Arrow[{{0, 0, -1}, {0, 0, 1}}]
}]
];
Export["fileNameHere.png", ImageCrop[Rasterize[donut, Background -> None]]]
|
Licensing
[edit]
I, the copyright holder of this work, hereby publish it under the following license:
 
|
This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
|
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 18:57, 23 May 2023 | | 346 × 252 (111 KB) | Lemondoge (talk | contribs) | Now properly cropped, and transparent. I would've made it higher resolution, but Mathematica mysteriously breaks one of the mesh lines if I do. |
| 01:30, 23 May 2023 |  | 480 × 374 (92 KB) | Lemondoge (talk | contribs) | removed a little bit of excess padding | |
| 01:07, 23 May 2023 |  | 480 × 374 (79 KB) | Lemondoge (talk | contribs) | Uploaded own work with UploadWizard |
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