Dave wrote:
"First, Burgy, Glenn is right on the matter of Sierpinski's gasket. Note
that the point moves half the distance toward another point. Even if we get
a large number of moves in the same direction, the moving point can only
approach the fixed point. "
If this happens, we get a straight line of course. I suppose one could call
this a very degraded form of the gasket case, in which case you would be
correct.
Was it not Lincoln who, when asked how many legs a dog would have if we
called the tail a leg, answered wisly, "Four. Calling the tail a leg does
not make it one."
Burgy
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