+2234 Actually, that is the professional way of doing it, when you’re teaching concepts.
Here’s a LaTex formatted, reproduction from
http://mathworld.wolfram.com/CircleDivisionbyLines.html
deriving the general solution formula for circle cutting (pancake cutting) problems in a plane.
F(1)=2F(2)=2+f(1)F(n)=n+f(n−1)Therefore, =n+(n−1)+f(n−2)=f(1)+n∑k=2k=2+12(n+2)(n−1)=12(n2+n+2)
Here’s the specific solution for this problem using the quadratic formula. As expected, this matches Hectictar’s solution.
(n2+n+2)2=16n2+n+2=32n2+n−30=0−1+√12−4⋅1(−30)2⋅1=5−1−√12−4⋅1(−30)2⋅1=−6 (Not used as a solution for this problem in this universe.*
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*The negative six (-6) is a solution in an alternate universe.
I’ve visited that universe. I noticed on the forum there, that Sisyphus is the prolific solution master for mathematics, and CPhill is the well-known rock-roller.
GA
