[math-fun] Polyomino question
For polyominoes A and B, let A ~ B if A and B each tile the same nonempty polyomino. Is A ~ B an equivalence?
no. the I and Y pentominoes both tile this region: xooooo ooooox the X and Y pentominoes both tile this region: xoxxx oooox xoooo xxxox but the I and X pentominoes are incompatible. erich
For polyominoes A and B, let A ~ B if A and B each tile the same nonempty polyomino. Is A ~ B an equivalence?
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Are N and O tetrominos incompatible? On 7/12/2011 7:38 PM, Erich Friedman wrote:
no.
the I and Y pentominoes both tile this region:
xooooo ooooox
the X and Y pentominoes both tile this region:
xoxxx oooox xoooo xxxox
but the I and X pentominoes are incompatible.
erich
For polyominoes A and B, let A ~ B if A and B each tile the same nonempty polyomino. Is A ~ B an equivalence?
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no, 4 of each tile the following region: xooxx xoooo ooxoo oooox xxoox erich
Are N and O tetrominos incompatible?
On 7/12/2011 7:38 PM, Erich Friedman wrote:
no.
the I and Y pentominoes both tile this region:
xooooo ooooox
the X and Y pentominoes both tile this region:
xoxxx oooox xoooo xxxox
but the I and X pentominoes are incompatible.
erich
For polyominoes A and B, let A ~ B if A and B each tile the same nonempty polyomino. Is A ~ B an equivalence?
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participants (2)
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David Wilson -
Erich Friedman