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© Copyright 2002, Jim Loy
On the left, we see the sum of several sine waves (drawn using
Geometer's Sketchpad and
Paint Shop Pro). There is a great deal of
self-similarity here. Each sub-mountain is a copy of the whole mountain. The
function is this:
y=sin(x)+sin(2x)/2+sin(4x)/4+sin(8x)/8+sin(16x)/16+sin(32x)/32+sin(64x)/64+sin(128x)/128+sin(256x)/256+sin(512x)/512