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What sort of projection is this that turns a 3-dimensional space into a triangle! Fancy projection math is only for after coffee!
by cadamsdotcom 8mo ago
What sort of projection is this that turns a 3-dimensional space into a triangle!
Fancy projection math is only for after coffee!
- jonahx 8mo agohttps://en.wikipedia.org/wiki/Simplex https://en.wikipedia.org/wiki/Simplex Common for visualizing mixtures of three things!
- vl 8mo agoWhile you are technically correct, since any triangle is a simplex, this is not relevant to this visualization. For this visualization: get positive quantities in 3D space, normalize to 1, now you have dot on a triangle on 1-sphere in a positive octant. Project triangle into 2D space a this is your visualization.
- Paracompact 8mo ago2-sphere, I believe you mean to say.
- moultano 8mo agoIt's easy, if you normalize it so that it sums to one, it drops a dimension, and becomes an equilateral triangle.