Tag Archives: Philosophy
Many thanks to David Yerle for making me aware of a couple of assumptions I hadn’t made explicit in my last snapshot. I’ve updated my spreadsheet accordingly.
My ability to handle the moderately advanced calculus required to solve this puzzle is frustratingly poor, but at least now I am confident that the ant will indeed reach the end; provided it’s marching upright, has a stride length equivalent to 1cm, and only has one foot on the ground at a time. Alternatively – I suppose – it could hop.
If anyone’s interested in commissioning a look-up table that shows where the ant will be in space and time with respect to any given point on a uniformly stretching rubber band, please don’t hesitate to contact me. The initial taut length of the rubber band and the velocity of P100 can be modified with ease. For a small extra fee I can add an adjustable acceleration component.
Here’s some free information I’ve derived from the spreadsheet so far.
Your Grandma was right for the wrong reasons: rubber bands effectively control ants, but not because they hate the smell or intuitively fear them. They just can’t physically keep their feet in 6 different time zones at once.
The more numbers you need to produce between three equidistant points on a uniformly stretching rubber band in order to model the ongoing path of an ant , the smaller the entropy of the rubber band gets. This would appear to be in direct contradiction with what The Law of Entropy (in our universe) suggests i.e., “that as time passes, less and less energy will become available for use.”
Maybe that rubber band is nothing at all
like the universe it’s meant to represent.