Dissection Puzzles 125shifting the pieces and putting them together after the first cut, only you must
not bend or fold the paper in any way.355. SQUARE TABLE TOP
From a square sheet of paper or
cardboard, divided into smaller
squares, 7 X 7, as in the diagram, cut
out the eight pieces in the manner in-
dicated. The shaded parts are thrown
away. A cabinetmaker had to fit
together these eight pieces of veneer
to form a small square table top,
6 X 6, and he stupidly cut that piece
number eight into three parts.
How would you form the square
without cutting anyone of the pieces?
- TWO SQUARES IN ONE
Two squares of any relative size can be cut into five pieces, in the manner
shown below, that will fit together and form a larger square. But this involves
cutting the smaller square. Can you show an easy method of doing it without
in any way cutting the smaller square?
357. CUTTING THE VENEER
A cabinetmaker had a 7 X 7 square checkerboard of beautiful veneer which
he wished to cut into six pieces to form three separate squares, all different
sizes. How can this be done without any waste, and by cutting only along the
lattice lines?