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submitted 9 months ago by fossilesque@mander.xyz to c/science_memes@mander.xyz

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[-] jtk@lemmy.sdf.org 16 points 9 months ago* (last edited 9 months ago)

Pythagoras ▄︻デ══━一 Gauss

Edit: Oops, that doesn't quite work without specifying why it obviously needs to be a 101 by 100 triangle, which I can't do on weed. Something about 1 side including 0-100 maybe?

[-] mycus@kbin.social 5 points 9 months ago* (last edited 9 months ago)

picture a square that is n times n, grid size 1. cut it diagonaly, you have n²/2, but that leaves out the bunch of triangles that are 1/2 each. how many of these triangles are there? n.

so we are left with n²/2 + n/2.

which is (n² + n)/2.

which is n(n + 1)/2.

edit.: maybe using an irl example like counting steps on a staircase and their area could help ilustrate it better, idk.