(Maybe you could find an odd one this time?) But given the amount of computational power required to find Mersenne primes, you might be better off with some other branches of math. If you’d prefer to keep the celebration mathematical, you could of course go looking for the next perfect number. You’ll have to stick with the exercises in your nearest physics textbook to experience any of those perfect objects. Unfortunately, the labs are all out of them. There are perfect fluids and perfect gases.
Physics is lousy with perfection: perfectly frictionless surfaces, perfectly rigid bodies, and perfectly elastic collisions abound. (You get bonus points if any of you have perfect pitch.) And a couple hours studying your favorite language's grammar may help you perfect the perfect tense. You could also sing organum with friends to celebrate the musical intervals of perfect fifths and octaves. Suggested activities include bowling a perfect game (or as close as you can get) and rooting for a perfect game at your favorite baseball stadium. What is the appropriate way to observe this perfect day? First things first: the parfait is the appropriate food, its name coming from the French for perfect. But if you choose to celebrate perfect numbers today instead of circle constants, you can transcend the transcendental number battle. Tau is the ratio of a circle’s circumference to its radius, and it is arguably a better constant than pi, the ratio of circumference to diameter. Mathematical date enthusiasts will note that today is also Tau Day, if you didn’t get enough circle constant celebration in March. The last time that happened was in 496, and the next time is over 6,000 years away, in 8128. Perfect numbers are few and far between, so don't hold out for a celebration in which the year is perfect as well. A perfect number is a number that is the sum of its factors besides itself, and 6 (1+2+3) and 28 (1+2+4+7+14) are the first two perfect numbers. Whether you write it 6/28 or 28/6, today is a perfect day. Image: David Eppstein, via Wikimedia Commons. The Paley graph of order 9 is a perfect graph, making it an appropriate object of veneration and study on June 28, a perfect day.
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