Here is a page of dice chess puzzles!
Updated 4-12-2002
Rules
Introductory puzzles
Novice puzzles
Advanced puzzles
Send any questions to
David Yuen
Introductory Puzzles
Online solutions pre rovided for introductory puzzles so as
to give you a flavor.
Novice Puzzles
Hints are available for some novice puzzles.
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Puzzle 0.1: White to Win
Hint
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Puzzle 0.2: White to Win
Hint
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Puzzle 0.3: White to Win
Hint
(Be careful if you want full credit on this puzzle.)
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Puzzle 0.4: White to Win
Hint
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Puzzle 0.5: White to Win
Note: The White King and Rooks have not yet moved.
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Puzzle 0.6: White to Win
Note: The White King has already moved.
Advanced Puzzles
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Puzzle 1: White to Win (Dec 2000)
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Puzzle 2: White to Win (Dec 2000)
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Puzzle 3: White to Win (Jan 2001)
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Puzzle 4: White to Win (Jan 2001)
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Puzzle 5: White to Win (Jan 2001)
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Puzzle 6: White to Win (Apr 2002)
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Puzzle 7: White to Win (Apr 2002)
Puzzle under revision.
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Puzzle 8: White to Win with a Pawn roll: Suppose White just rolled a Pawn.
White would be forced to capture the Rook and promote.
what should White promote the pawn to?
(Give all possible answers) (Apr 2002)
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Puzzle 9a and 9b: White to Win: Two variations.
(Apr 2002)
Note:
Puzzle 9a requires correcting as follows:
Move Na8 to Nc6, Ba7 to Bb6, Bb8 to Bc7.
Dice Chess Puzzle Rules
- White to win means that...
- You must give a complete strategy for white to win with probability 1.
- This means that if your strategy even gives Black a positive epsilon
probability of winning, no matter how small a chance, then you have failed.
- The puzzle calls for a probability 1 win, no matter what the expected
number of moves may be. (For example, Puzzle 0.1 above has roughly an expected
749 moves before capturing the king occurs; this can be calculated precisely
using Markov chains.)
