All I used was paint and a free gif animation program - I've got a whole load more cheapo animations on my (now very) old website - I was about fifteen at the time
I reckon I can make the 500 tonight...
Last person to post here wins
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this game reminds me of a question from my math final exam last term:
alice and bob are playing a game, where they take truns picking a closed interval on the real number line. each interval must be contained in the previous interval picked. the intervals may not be degenerate (ie if I = [a, b], then a < b) and also the nth interval, In must be of length less than 1/n. they play an infinite number of turns until the interval contains only a single number. if the number is rational, alice wins. if the number is irrational, bob wins. does either one have a winning strategy (a way to ensure their own victory regaurdless of how the other plays)? and if so, which one of them and what is the strategy?
there is a winning strategy, by the way, but i'll leave it up to you people (or the math inclined ones) to figure out what it is.
alice and bob are playing a game, where they take truns picking a closed interval on the real number line. each interval must be contained in the previous interval picked. the intervals may not be degenerate (ie if I = [a, b], then a < b) and also the nth interval, In must be of length less than 1/n. they play an infinite number of turns until the interval contains only a single number. if the number is rational, alice wins. if the number is irrational, bob wins. does either one have a winning strategy (a way to ensure their own victory regaurdless of how the other plays)? and if so, which one of them and what is the strategy?
there is a winning strategy, by the way, but i'll leave it up to you people (or the math inclined ones) to figure out what it is.
Last edited by kroner on Wed Feb 23, 2005 6:20 am, edited 2 times in total.
DOOM!
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nitefyre
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