[math-fun] muffin(2,3,5)

Taking up an earlier suggestion about looking for corefinements of 1 into several sets of unit fractions ... Define Muffin(a,b,...) be the minimum piece size of a corefinement of 1 into pieces of size 1/a, and of 1/b, etc. Muffin(2,3,5) seems to be the smallest interesting case. I get M(2,3) = 1/6, M(2,5) = 1/10, and M(3,5) = 1/12. The M(3,5) split, normalized to 60ths, is 4*5 + 2*6 + 4*7. Thirds: 20 = 4*5 = [2]*(6+7+7). Fifths: 12 = [4]*(5+7) = 6+6. This also works for M(2,3,5): 30 = [2]*(5+5+6+7+7). So M(2,3,5) = 1/12. Rich