File:Horn torus interior.png
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Size of this preview: 754 × 599 pixels. Other resolutions: 302 × 240 pixels | 604 × 480 pixels | 966 × 768 pixels | 1,280 × 1,018 pixels | 1,776 × 1,412 pixels.
Original file (1,776 × 1,412 pixels, file size: 1.34 MB, MIME type: image/png)
Captions
Captions
A horn torus
Summary
[edit]
This diagram was created with Mathematica.
| Description |
English: A visualization of a horn torus, with a gradient opacity that allows the interior to be seen. The circle that the torus is derived from is shown in black. |
| Date | |
| Source | Own work |
| Author | Lemondoge |
| Source code | Mathematica codek[a_, b_, t_] := a + (b - a)*t^3
donut = Show[
RevolutionPlot3D[{1 + 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[{1 + Cos[t], 0, Sin[t]}, {t, 0, 2 Pi},
PlotStyle -> {Thick, Black}]
];
Export["fileNameHere.png", ImageCrop[Rasterize[donut, Background -> None, ImageResolution -> 500]]]
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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.
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 22:17, 23 May 2023 | | 1,776 × 1,412 (1.34 MB) | Lemondoge (talk | contribs) | Enhance precision of torus slightly by increasing sampling density, because why not? (PlotPoints -> 350, MaxRecursion -> 10) |
| 19:09, 23 May 2023 |  | 1,771 × 1,410 (1.34 MB) | Lemondoge (talk | contribs) | Now transparent, properly cropped, and significantly higher resolution. | |
| 01:35, 23 May 2023 |  | 480 × 413 (94 KB) | Lemondoge (talk | contribs) | removed a little bit of excess padding | |
| 01:07, 23 May 2023 |  | 480 × 413 (80 KB) | Lemondoge (talk | contribs) | Uploaded own work with UploadWizard |
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