I do like looking for thematic links among the comic strips that mention mathematical topics that I gather for these posts. This time around all I can find is a theme of “nothing big going on”. I’m amused by some of them but don’t think there’s much depth to the topics. But I like them anyway.
Mark Anderson’s Andertoons gets its appearance here with the May 25th strip. And it’s a joke about the hatred of fractions. It’s a suitable one for posting in mathematics classes too, since it is right about naming three famous irrational numbers — pi, the “golden ratio” phi, and the square root of two — and the fact they can’t be written as fractions which use only whole numbers in the numerator and denominator. Pi is, well, pi. The square root of two is nice and easy to find, and has that famous legend about the Pythagoreans attached to it. And it’s probably the easiest number to prove is irrational.
The “golden ratio” is that number that’s about 1.618. It’s interesting because 1 divided by phi is about 0.618, and who can resist a symmetry like that? That’s about all there is to say for it, though. The golden ratio is otherwise a pretty boring number, really. It’s gained celebrity as an “ideal” ratio — that a rectangle with one side about 1.6 times as long as the other is somehow more appealing than other choices — but that’s rubbish. It’s a novelty act among numbers. Novelty acts are fun, but we should appreciate them for what they are.