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35 lines
1.4 KiB
Markdown
35 lines
1.4 KiB
Markdown
# stereographic_extrude
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Takes a 2D polygon as input and extends it onto a sphere. If you light up a lamp on the north pole of the sphere, the shadow will return to the original 2D polygon. For more information, take a look at [Stereographic projection](https://en.wikipedia.org/wiki/Stereographic_projection).
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The 2D polygon should center at the origin and you have to determine the side length of a square which can cover the 2D polygon. Because the 2D polygon will be extended onto a sphere, you can use `$fa`, `$fs` or `$fn` to controll the sphere resolution.
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## Parameters
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- `shadow_side_leng` : The side length of a square which can cover the 2D polygon.
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- `$fa`, `$fs`, `$fn` : Check [the sphere module](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Primitive_Solids#sphere) for more details.
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## Examples
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use <stereographic_extrude.scad>
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dimension = 100;
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stereographic_extrude(shadow_side_leng = dimension, convexity = 10)
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text(
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"M", size = dimension,
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valign = "center",
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halign = "center"
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);
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color("black")
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text(
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"M", size = dimension,
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valign = "center",
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halign = "center"
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);
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![stereographic_extrude](images/lib3x-stereographic_extrude-1.JPG)
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For more advanced examples, take a look at [my stereographic_projection collection](https://www.thingiverse.com/JustinSDK/collections/stereographic-projection). |