The properties of "hair pi"

Perhaps in an effort to prove how utterly geeky I am, and chase away any potential suitors... I follow up on comments left in another thread. And shoot- since M's the only one who even knows this blog exists, you can blame yourself for this!

What do we mathematicians know about "hair pi"? Here are some facts:

• hair pi is irrational
  definitely true
  
• hair pi is transcendental
  a bit grandiose, but I wouldn't disagree
  
• because of the nature of hair pi, a hairy circle can't be turned into a hairy square
  and who would want to?
  
• the volume of a hair cylinder is length times width squared times hair pi, divided by four.
  Umm... my width- turned into a square, then divided by four??? Ouch... sounds painful


• if a hair cylinder with the same length as a hair gap, then it has a probability of hair pi of actually landing on the gap when falling down towards it.
  That seems like low odds for my hair cylinder. Maybe being a mathematician isn't the way to score some serious "gap" action.


• Given a flow from a hairy place... the direct distance from the source of the hair flow to the mouth, divided into the actual distance required to get there, results in a ratio of hair pi!
  A trifle obtuse, but sadly, actual math was used in the generation of this fact.


• if we put hair pi through a log, we do not know if it is irrational
  Excuse me, but don't we normally try to put the log into the hair pi? No wonder mathematicians don't score much gap action- they've got it all backwards!


• it is not known if hair pi is normal to any base.
  No comment

Jeez... I'm almost embarassed to have spent so long building up this list. And I don't know which is worse- that I spent 30 minutes whipping up these fact, or that I'm actually posting them out in a semi-public forum...