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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?

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Paving Paths

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?

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LOGO Challenge 5 - Patch

Using LOGO, can you construct elegant procedures that will draw this family of 'floor coverings'?

LOGO Challenge - Tilings

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2
There are a number of approaches to these tilings but all require you to break the problem down and start by idenitfying units and then how the units fit together.

I often find it useful to see the lines of shapes rather than the groups.

The problem with lines is getting back to the right place to do thenext line. The problem with groupings is working out how these fit together if you wish to go beyond a very confined space.

Its up to you to investigate and the good thing is you will see when it is going well!!