We can say a bit more about the Princess’s escape.
Amazingly, an optimal path for the Princess is to swim in a half circle of radius 1/8 that of the lake, then dash out to the edge.
We’ll give an analytic proof, but we could give a totally synthetic (geometric) proof as well.
The conclusion to the banana & camel puzzle.
With enough time and patience and bananas, can we go as far as we please?
A classic puzzle reveals why rockets require so much fuel, even for wee payloads.
Albert Einstein is often quoted as saying that compound interest is the most powerful force in the universe. He didn’t really say that, but the sentiment is valid. If you compound more and more frequently, is there a limit on the interest one can earn?
How to do infinitely many things in a few minutes!
An old jalopy zooms up and down Arkansas hills…
The Math Factor in iTunes
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