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If you ask real experts in probability theyll say this is not random because its far too uniform, you know. Really, Poisson That kind of thing would have more gaps and so forth. But its random enough and what Im about to show you works with any sufficiently random dots. OK. Now, I photocopied this on a transparency. The exact copy, I put one on top of the other. The result is this. Interestingly boring, shall I say, really amazingly boring. But now, lets shift the transparency against the bottom sheet a little bit and what you see is this. You see those concentric circles around a common center, and the reason, actually in retrospect, is not too surprising because whatever Im doing to the transparency is a Euclidean motion and we know that a Euclidean motion in 2D is always a rotation. Actually it could be a translation, but a translation is a rotation with a center at infinity. So its always a rotation. So you see those traces of rotation, so to speak, under your eyes. What
