Monday, March 21, 2011

[uumhhirf] Four squares

There are other symmetric ways to put four squares of size 1 into a square of size 2 (area 4).

Place each small square against one of the edges of the large square, centered on the edge.  The squares will overlap; some parts of the large square will not be covered.  But it's nice and symmetric.  Draw the same design in each of the small squares.

Similarly, place a corner of each small square -- diamond -- on the midpoint of each edge of the large square.

The other way, obvious, is to divide the square orthogonally into 4.

(A solution in search of a problem?)

No comments :