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Not trial and error! Have another look at Step 1. The table is there to help you choose. My suggestion is to choose some outer ring and inner gear tooth numbers that give you the highest number of unique combinations across a wide range of resulting number of points. Prime numbers will always give you the least number of combinations.
Row "1" entries are the number of teeth on the outer ring.Column "A" entries are the number of teeth on the inner gear.The lookup result tells you the number of "points" on the resulting figure when the spirograph is used.This table is useful to select gear sizes. I like sizes that give you a lot of different options. Fifty-four seems like a good outer ring tooth count because it can yield many different types of figures. Some tooth counts, like 71, which is prime, don't give you a lot of options.
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