The term "mathematics" and the verbal means we use to communicate it with are a potential facade, but call it what you want there is a natural pulse or rhythm to life and all living that is potentially the only realm truth there is no matter how you care to express it.

I've spent a few weeks in Morocco. A fantastic venture indeed!

Don't forget Thailand!! It's fantatsic!

Costa Rica and Colombia just after moving to NYC

It's been a few years since I led people down, but last venture they required reservations dates be made 6 months prior to your hike. There's always the chance of cancellations, but you never know. The harder and less public the trail, the greater the opportunity...also usually the least amount of known water sources on the trail besides making down to the colorado river.

Midspring and during the fall are prime times to head down into the GC. Fewer people and temperatures are good. Up top it's chilly even in the summer, but down in the bottom it's sweltering. Summer can be done, but plan on hiking early mornings...lunching/napping/hidding under rocks for shade then hiking after the sun has cooled can be done though.

Have a blast!