rcs(privately)>Gosper: one more possible way to solve the pizza/3 problem:
the function z e^(-z) has a nice power series inversion,
I.e., Lambert W
and converges out to the expected radius 1/e or whatever. Maybe turn this into a Kepler reversion?
If you expand the inner (Kapteyn) series in Lagrange's solution to Kepler's equation and then sumswap, you get a sum of derivatives of Lambert Ws. The derivation assumes epsilon (eccentricity) < 2/e, but it seems to work fine for epsilon = 1. So http://www.tweedledum.com/rwg/pizza.htm is tweaked yet again. Re Segway, a 17 yr old mechanical genius at the local TechShop built himself a wild one that has slightly injured even experienced riders. I'll try to learn what he spent, and add an estimate for speed limitation! (Keep this quiet or we'll have yet another helmet law.) --rwg UNBRACED BEANCURD TRACKSHOE SHORTCAKE COLINEAR POINTS IN LOCO PARENTIS