Mastodawn

Freya Holmér Jul 26, 2024

you've heard of sine and cosine

now get ready for uh squine and cosquare

Oblomov Jul 26, 2024

@acegikmo very peculiar (though it took me a while to catch it because the color choice for the plots isn't too colorblind-friendly).

I'm trying to think if they satisfy an equation similar to that of sin/cos, but abs(s) + abs(c) = 1 doesn't work. Is it something like abs(s+c) + abs(s-c) = 1 maybe?

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PlasmaGryphon

@oblomov @acegikmo I think you just apply the metric to the point (s,c). So ||(s,c)||_M = 1. If we rotated the square by 45 degrees so it was the L_1 metric (aka taxicab or Manhattan metric), you would get abs(s)+abs(c)=1. This is L_inf (aka Chebyshev) metric, so max(abs(s),abs(c))=1.