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.

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 for more details.

Examples

use <stereographic_extrude.scad>

dimension = 100;

stereographic_extrude(shadow_side_leng = dimension, convexity = 10)
   text(
        "M", size = dimension, 
        valign = "center", 
        halign = "center"
   );
   
color("black") 
   text(
        "M", size = dimension, 
        valign = "center", 
        halign = "center"
   );

For more advanced examples, take a look at my stereographic_projection collection.

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stereographic_extrude

Parameters

Examples

1.4 KiB

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