All Questions
Tagged with mathematics unorthodox-pieces
5
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How many different kinds of fairy units?
A recent question Is there a Fairy Chess Piece that Combines the Gnurider and Queen? suggested the following:
Assuming we are only operating on a 8x8 board, how many functionally distinct fairy pieces ...
- 13.1k
11
votes
3
answers
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How to solve this puzzle of Martin Gardner?
Martin Gardner mentioned the following "chess" problem in his column, Mathematical Games, for Scientific American (he got it from Smullyan, who learned about it from a high school math ...
- 221
1
vote
1
answer
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What arrangement of 8 each of these 4 different compound leapers has the "strongest coverage properties" on a 16x16 board?
The 4 compound leapers I'd like to look at are:
(1,2), (0,3), (2,2); knight+threeleaper+alfil
(1,2), (0,2), (1,1); knight+kirin
(1,2), (1,3); knight+camel
(1,2), (2,3); knight+zebra
What arrangement ...
- 308
7
votes
1
answer
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16 roses, 16x16 board; maximum double-attacked squares while all 256 squares are attacked at least once?
The rose is a piece that is best described as a "circular nightrider", able to reach up to 32 other squares from the center of a 13x13 area by making consecutive knight jumps in a rotating fashion in ...
- 308
5
votes
2
answers
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What is the maximum number of squares 8 queens and 8 nightriders can attack on a 16x16 board?
Including but still obstructed by occupied squares, what is the maximum number of squares on a 16x16 board that 8 queens and 8 nightriders can collectively attack at least once each? Even if attacking ...
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