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Jul
25
comment Probability that a stick randomly broken in two places can form a triangle
All right. That's basically what I did to check your answer; I guess I was just thrown off by your change in names. Thanks for the clarification.
Jul
25
revised Probability that a stick randomly broken in two places can form a triangle
deleted 54 characters in body; added 8 characters in body
Jul
25
asked Probability that two people see each other at the coffee shop
Jul
25
comment Probability that a stick randomly broken in two places can form a triangle
I'm actually confused as to how you arrived at 1/4 using your method. If you use the three inequalities from my answer (below), only 1/8 of the unit square satisfies all three. This doesn't work out for essentially the same reason as the Monte Carlo simulation, except this time, both x and y are chosen uniformly and 1-x-y is forced into a tiny range of values. How'd you get 1/4?
Jul
25
comment What property of certain regular polygons allows them to be faces of the Platonic Solids?
Oh, I misread your question completely! I thought you were asking, "Why is it that only regular polygons can be faces of the Platonic solids?".
Jul
25
comment Probability that a stick randomly broken in two places can form a triangle
Thanks! I was about to go to sleep but then I stumbled upon your question and the opportunity to solve it and figure out the mystery was just too great to pass up. :P
Jul
25
revised Probability that a stick randomly broken in two places can form a triangle
deleted 9 characters in body
Jul
25
answered Probability that a stick randomly broken in two places can form a triangle
Jul
25
comment Your favourite maths puzzles
V pnyphyngrq gur ahzore bs cbffvovyvgvrf sbe obgu, naq vg ybbxf gb zr yvxr gurl'er gur fnzr. V'z fher gurer'f n terng rkcynangvba ohg V'z abg frrvat vg evtug abj.
Jul
25
comment Your favourite maths puzzles
Kaestur Hakarl: That's the fastest way that I know of.
Jul
25
revised Balance chemical equations without trial and error?
deleted 73 characters in body
Jul
25
comment Balance chemical equations without trial and error?
Just edited; better now?
Jul
25
revised Balance chemical equations without trial and error?
added 270 characters in body
Jul
24
awarded  Commentator
Jul
24
comment How many knight's tours are there?
Tomer Vromen: I'd repost that as an answer.
Jul
24
comment Why is the derivative of a circle's area its perimeter (and similarly for spheres)?
This doesn't explain why the coefficients match up.
Jul
24
answered Balance chemical equations without trial and error?
Jul
23
asked Counting how many hands of cards use all four suits
Jul
23
comment Your favourite maths puzzles
If the size is fixed, it's easy to create a tiling that prevents finding a monochromatic triangle, but if I remember correctly, the answer is unknown in the general case.
Jul
23
comment Your favourite maths puzzles
One answer (from Proof Without Words book): gurmeetsingh.files.wordpress.com/2008/10/calissons.png