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. Can you cover
the board with trionimoes so that only the square is exposed?
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'?
NRICH members have enquired about more ideas for particular tilings
of the plane, namely those where - NOT all corners of the tile are
vertices of the tiling.
Three such examples of this type of tiling are reproduced
Again, you might like to produce an elegant program to replicate
one or all of these.
This develops some of the ideas in
LOGO Challenge Triangles-squares-stars