How many different ways can I lay 10 paving slabs, each 2 foot by 1
foot, to make a path 2 foot wide and 10 foot long from my back door
into my garden, without cutting any of the paving slabs?
Using LOGO, can you construct elegant procedures that will draw
this family of 'floor coverings'?
Can you recreate these designs? What are the basic units? What
movement is required between each unit? Some elegant use of
procedures will help - variables not essential.
A triomino is a flat L shape made from 3 square tiles.
A chess board is marked into squares the same size as the tiles and just one square, anywhere on the board, is coloured red.
Chess boards for this game are of size 2 k by 2 k where k is any whole number
For example 2 by 2, 4 by 4, 8 by 8 etc.
The aim is to cover the board with triominoes, not overlapping, so that only the red square, wherever it is, is exposed. Is this possible? Investigate. Explain.