“Squaring the circle” is a geometry problem so infamous that it became a metaphor for an unachievable task. The challenge: construct a square with the same area as a given circle using only a compass and straight edge. It’s impossible because the area of a circle is a multiple of π (3.14159265…), a number with an endless stream of digits that can’t be translated into a square with those tools.
Nevertheless, centuries of crackpots have tried to square the circle. Including me.
A similar problem is trisecting an angle: it has been proven impossible to divide an arbitrary angle into three equal parts using a compass and straight edge.
I can’t tell you how much time and paper I wasted trying to trisect an angle until I satisfied myself that it was at least impossible for me.
Perpetual motion is the ultimate futile challenge. No device, no matter how you arrange its weights, pulleys, magnets or gears, can run forever without putting energy into it. Friction and other thermodynamic waste grind every machine down until it stops. No system is 100 percent efficient.
I know that. I believe that.
And yet the number of times I’ve thought, “But what if . . .”
For as long as I can remember, whenever someone told me something was impossible, I set out to prove them wrong, or at least prove to myself they were right. At worst, it provides light mental exercise. At best, there’s a Nobel Prize in it for me.
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