Sine and cosine represent the movements you need to draw a unit circle (with a two axis plotter). It is unfortunate if we don't introduce them like that.https://twitter.com/ThingsWork/status/1089272107119325185 …
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The nicest I know works by creating a flat space filling curve or a flat lattice and then shorten some of the distances in regular intervals to induce positive curvature, so the lattice rolls itself up into a ball.
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If you add links that connect points that are not adjacent in 2D, you create a 3rd dimension. If you don't overdo it, this will just be a curved 2D space. If you add more links over longer distances, the 2D space can fold into a full 3D space. It also works for going to 4D.
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