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'?
Show how this pentagonal tile can be used to tile the plane and
describe the transformations which map this pentagon to its images
in the tiling. The lengths AE and ED are 1 unit and the length CD
is 2 units. The angles B and E are right angles and the angles A, C
and D are 120°.
Here is an animation that may help you....
The create button makes new tiles.
You can then rotate, flip vertically or delete each tile.
Here is a printable copy for you to
download, print and try yourself.