File: Cockroach Dream.swf-(396 KB, Game)
[_] /f/ is good today. Anonymous 02/07/13(Thu)18:53 No.1879455
Some stuff I haven't seen yet.
>> [_] Anonymous 02/07/13(Thu)21:31 No.1879583
You know, this'd be a great math problem.
>> [_] Anonymous 02/07/13(Thu)21:41 No.1879589
>>1879583
Let the lower-left corner of the game be located at (0,0) and the upper-right be located at
(h,l). The man can be represented by a rectangle with opposite vertices at (0,l/3) and
((2h)/3,0). A cockroach can be represented by a single point, and can enter from any point upon
either the left, top, or right side of the screen. For t iterations of the timer, (t^2)/2
cockroaches are present on the screen, rounded down to the nearest whole number. For every
iteration of the timer, t/3 cockroaches will move, rounded up to the nearest whole number. They
will move h/6 units at r radians; r is any real number with equal probability. What is the
probability that, after a given time t, one of the cockroaches will have stepped on this poor
bastard?
