An old problem asks how many queens may be placed on a standard chess board so that none of them attacks another. It has been asked at least once in this forum.
Let's now permit some hostility. We ask the maximum number of queens that can be placed on a standard chess board such that each queen attacks exactly one other queen. Escalating, what is the maximum number where each queen attacks exactly two others? Three others? Four others?
For each answer, show the placement: with a sketch, codebox or chess notation, where a1 is the lower left, and h8 is the upper right corner.
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bonanova
An old problem asks how many queens may be placed on a standard chess board so that none of them attacks another. It has been asked at least once in this forum.
Let's now permit some hostility. We ask the maximum number of queens that can be placed on a standard chess board such that each queen attacks exactly one other queen. Escalating, what is the maximum number where each queen attacks exactly two others? Three others? Four others?
For each answer, show the placement: with a sketch, codebox or chess notation, where a1 is the lower left, and h8 is the upper right corner.
Have fun, and please use spoilers.
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