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added stereographic_extrude

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Justin Lin
2017-03-28 09:09:37 +08:00
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# stereographic_extrude
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).
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 `$fn` to controll the sphere resolution.
## Parameters
- `shadow_side_leng` : The side length of a square which can cover the 2D polygon.
- `$fa`, `$fs`, `$fn` : Check [the sphere module](https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Primitive_Solids#sphere for more details.
## Examples
dimension = 100;
render() stereographic_extrude(shadow_side_leng = dimension)
text(
"M", size = dimension,
valign = "center", halign = "center"
);
color("black")
text(
"M", size = dimension,
valign = "center", halign = "center"
);
![stereographic_extrude](images/lib-stereographic_extrude-1.JPG)
For more advanced examples, take a look at [my stereographic_projection collection](https://www.thingiverse.com/JustinSDK/collections/stereographic-projection).