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Poppy Y6

I started with the head of the worm on the number 34.
First of all I began by trying out the different shapes - see page 1 of the PPT.
I rotated each shape through north, east, south and west.

I then realised that some of the shapes had a reflection.

I started with the L shape and noticed whilst some of the numbers were different that there were repeated totals.

I began to investigate why this happened - see the algebra for each of the L shaped totals.

I then looked at the S shaped worm and saw that the reflections came up with repeated totals.

I found that there 16 different totals but 24 different calculations that could be made by rotating or reflecting the worms.