Square the Steps
Can you cut the shape below into four identical shapes that will fit together to form a square?
Cells within Cells
Can you move exactly two of the load cells to new squares, so that all the rows and columns will have an even number of load cells? Word is: there are 12 distinct solutions. Let us know if you can find a 13th!
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Jousting Knights
Using their regulation chess movements, can you swap the positions of the white and black knights? Each piece may make multiple consecutive moves but may only move in the manner of a knight, and all moves must land within the grid.
Answers Below
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Square the Steps
Cut as shown:
Then reassemble:
Cells Within Cells
Here are twelve possiblities:
Jousting Knights
While it would certainly be possible to move the knights around on the grid and solve the puzzle eventually. Here is perhaps a better way to visualize the solution:
Number the squares as shown, noting that a knight can move in order from square 1 to square 9 and back. In addition the knight can also move to square 10 from the square 4 (but from 10 can only go back to square 4). This “parking place” is very helping in solving the problem!
Now we can lay out all the possible moves in a linear arrangement (with the knights starting positions shown):
And below are the series of moves required to reverse the knight’s positions:
