Today’s XKCD reminded me of an idea I thought of the other day. I’m sure most of my readers have encountered triangles before. X, Y, Z: pick two. Probably the best known is good/fast/cheap, but there’s the CAP Theorem, Zooko’s Triangle, even a few I’ve devised. So here’s my meta-triangle, of properties a triangle itself (especially in the customary equilateral presentation) might have.

  • Easy to understand.
  • Useful or insightful.
  • Accurately reflects reality.

Pick two. In particular, pick which two properties that triangle itself has, and which one it lacks. Ouch, now my brain hurts.