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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Replying to @Plinz
Is there a way to visualize a sphere instead of a circle ?
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Replying to @bloodyquantum
There are many. The most popular one adds a third function to vary the size of circles along an axis (so you get a globe). In our world, most spheres describe the equidistant boundary of a region around a point (for instance, a shock wave).
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Replying to @Plinz @bloodyquantum
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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Replying to @Plinz @bloodyquantum
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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If you only contract the distances in a 3D lattice a little bit, you get a curved 3 space (gravity), but if you go further, it folds up into more dimensions. Unfortunately, rotations in 4D are no longer commutative, in 8D no longer associative, and beyond there are no rotations.
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