#29 Four by four
Set by Howard Williams
By only cutting along the lines of a 4-centimetre-by-4-centimetre square grid, it can be divided into two halves of equal area and of identical shape. The simplest method for achieving this is a 4-centimetre cut, straight across the middle.
Ignoring rotational and reflectional symmetries, there are two ways (shown above) of using a 6-centimetre cut to divide the grid into equal areas of identical shape.
By making an 8-centimetre cut, can you divide the grid into two identical shapes?
With a 10-centimetre cut, it’s possible to do this in two ways. Can…
