OK, I'm not mathemetician. In fact, I've just found that I can't even spell the word.
But the other night I had a weird experience. I was thinking about something completely different, just dropping off to sleep, when I suddenly sat bolt upright, only vaguely aware of what I was doing, and blurted out: "3 cubed plus 4 cubed plus 5 cubed equals 6 cubed." Then I found I was incredibly alert and buzzing - couldn't possibly go back to sleep until I'd got out of bed and checked whether that calculation was accurate.
If I did my sums right, it is. But now I have loads of questions.
Is this something that is commonly known in maths circles? (Ha! Maths circles! So many possible jokes. None quite good enough to type here.)
Is there a general rule about come cubes being the some of three other cubes, the same way Pythagoras' Theorem applies to square numbers?
Have I just made an amazing discovery?
Can we call it "Joe's Theorem"?
Find out next week on The Saga of Mathematical Adventure, with idiot savant, Joe Craig.