Penta people, the Pentominoes, always build their houses from five
square rooms. I wonder how many different Penta homes you can
Can you make these equilateral triangles fit together to cover the
paper without any gaps between them? Can you tessellate isosceles
An interactive activity for one to experiment with a tricky tessellation
A tetromino is made up of four squares joined edge to edge. Can
this tetromino, together with $15$ copies of itself, be used to
cover an eight by eight chessboard?
What about the other four tetrominoes?
If the set of tetrominoes can fill the board sketch a solution
showing how this can be done and if it is impossible to cover the
board then explain why.