Math Photo: Riemann Shadows

Published by MrHonner on

Riemannian Shadows 2

The shadows fall like approximating rectangles under a sine curve.  This brings to mind a basic approach in computing the area of curved regions:  approximating the curved region with a series of flat regions, whose areas are easy to compute.

Riemann Sum Sine blue

The angle of the sun makes the shadows more like approximating parallelograms, though.  So we’d probably need a change-of-coordinates to complete our calculation!



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