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Originally Posted by kato13
I like it. However I have a few questions. If a 5d20 produces 2 or more 1 would you get 2 or more chances on the d6 tree. I did not think your graph presented that, but was not sure.
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Just one D6, regardless of the number of 1's turning up. When I considered using on D6 per '1', I realized the "dent" in the line would be even worse.
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I was also thinking of using different dice like a d12 for 5d20, a d10 for 4d20, a d8 for 3 d20, etc.
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My main concern with different dice sizes is the lag in remembering what dice to use, and the math to get the final result. If it is people used to juggle numbers, I don't think it would matter much. But I think it might affect the speed for quite a few.
My design parameter in this case is however "the fastest system of those that are good enough for me."

Change those words just a little, or have another threshold of "good enough", and the D6 solution might not cut it anymore.