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?
Using LOGO, can you construct elegant procedures that will draw
this family of 'floor coverings'?
Stage: 3 Challenge Level:
If three adjacent angles add up to 360 degrees, what do the other
three angles add up to?
The shape given in the problem does tessellate. Call the unmarked
angles D, E and F and label the angles of the polygons accordingly
in the tessellation. What do you notice?
Draw some different hexagons that satisfy the criteria and see what
happens. It may be best to work on square and/or isometric dotty
paper so that the angles can be worked out accurately and the
tessellations drawn easily.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the
NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to
embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities
can be found here.