Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#1 2007-04-18 18:07:48

Stanley_Marsh
Member
Registered: 2006-12-13
Posts: 345

FreeCell

I believe most of you have played the card game FreeCell .  I have played a hundred games of it , and I believe it's always solvable. I wonder is there a way to prove it.


Numbers are the essence of the Universe

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#2 2007-04-18 19:42:40

Zhylliolom
Real Member
Registered: 2005-09-05
Posts: 412

Re: FreeCell

Actually there are some unsolvable games (although they are a "set of measure zero"). Here is a proof. smile

http://www.cs.uu.nl/~hansb/d.freecell/freecellhtml.html

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#3 2007-04-19 02:23:37

George,Y
Member
Registered: 2006-03-12
Posts: 1,379

Re: FreeCell

Freecell is frustrating, so I play foolproof games instead. LoL~


X'(y-Xβ)=0

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#4 2007-04-19 02:56:12

pi man
Member
Registered: 2006-07-06
Posts: 251

Re: FreeCell

An easy way to see 2 unsolvable ones:   Use the "Select Game" option and when it asks you to enter a number between 1 and 1000000, enter -1 or -2 instead.

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