Step 1: Cut the tire
Of course, your first step is to get a tire. Try your local freecycle group or craigslist for a tire somebody wants to get rid of.
I used a reciprocating saw to start with. Keep pouring water on the tire to make it easier to cut. Most tires have metal bands on the insides--you'll have to cut these out first.
Use the saw to cut across the tire first, then cut the bands out. If you get a wide truck tire, I recommend cutting the sidewalls off too--they get in the way and you'll have to cut them off anyway.
Make a pattern using a shoe that you like--make sure you've got plenty of room on the sides of your feet--you'll need 1/8-1/4" later.
Cut off a piece of the tire a bit larger than your pattern.