A few years ago, I reverse-engineered a 10 number in 32 plays balanced wheel. Here's one way to go about it: first, get all combos of the 10 numbers, which has 252 records (all possible combinations). We can see that 32 plays would have 160 slots (5*32). Since we want a balanced wheel divide 160 by 10 so we know each of the 10 numbers is used 16 times in the 32 plays matrix. Extrapolate the same logic for other sizes of wheels. I used Excel's countif function to see which rows from the 252 to select (32 selected rows) to get each of the 10 numbers used and equal number of times (16 for this example). Once you look at it in Excel, it's pretty obvious where in the grid to pick to get an even distrobution; it took a minimal amount of trial and error for me to get the 32 records. When I get the time, I want to look at deriving an abbreviated wheel from the full or balanced wheel. I haven't figured it out yet but I'll keep trying.
