Polyomino Investigation A polyomino is a shape made from squares Polyominoes Polyomino Investigation A polyomino is a shape made from squares

Polyominoes Monominoes Mono from the greek word monos for one Dominoes Duo from the latin word duo for two Triominoes Tri from the greek word tries for three Tetrominoes Tetra from the greek word tettares for four Pentominoes Penta from the greek word pente for five Hexominoes Hex from the greek word hex for six

The rules for joining the squares Polyominoes Poly-ominoes means Many-squares The rules for joining the squares There must be full edge to edge contact ONLY. 

? ? Polyominoes Remember, rotations and reflections are not allowed! Monomino Domino Triominoes There is only 1 There is only 1 There are only 2 Find all of the Tetrominoes ? Is this a new Domino? Are these new Triominoes? Remember, rotations and reflections are not allowed! Draw them in your book ? There are only 5

Polyominoes The pentominoes Find and draw all of the pentominoes.? There are 12 altogether

Mr Hodson’s names The cross The odd-ball Capital T C Small t W Capital L Small l The duck The swan The van......why? The straight

The number of different Polyominoes Monominoes 1 Dominoes 2 Triominoes 2 Tetrominoes 5 Pentominoes 12 Hexominoes 35 Heptominoes 108 Octominoes 369

Polyominoes There are 12 pentominoes. Each one has 5 squares, so there are 12 x 5 = 60 squares altogether. The pentominoes can be arranged into four rectangles. 15 x 4 10 x 6 20 x 3 12 x 5 Here are some solutions

There are 2339 different solutions! This is one of them! Polyominoes The 10 x 6 There are 2339 different solutions! This is one of them!

There are 1010 different solutions! This is one of them! Polyominoes The 12 x 5 There are 1010 different solutions! This is one of them!

There are 368 different solutions! This is one of them! Polyominoes The 15 x 4 There are 368 different solutions! This is one of them!

There are ONLY 2 different solutions! This is one of them! Polyominoes The 20 x 3 There are ONLY 2 different solutions! This is one of them!

Try to find a solution of your own! Polyominoes Make the 12 pentominoes using card, make each square 2 cm x 2 cm. Put them together in a rectangle. Try to find a solution of your own!