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# Maths problem Watch

1. We have been given a diagram grid thingy (pictured below) of a cake. we have to cut the cake and all the pieces need to be the same size, shape and each need a cherry on the top. any suggestions on how to do it?

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3. (Original post by Alice Moody)
We have been given a diagram grid thingy (pictured below) of a cake. we have to cut the cake and all the pieces need to be the same size, shape and each need a cherry on the top. any suggestions on how to do it?
Four spirals would do it.

Note that the cherries would be in different places on each slice.

Aside: From a practical point of view it would be far easier to cut the cake into 4 smaller squares and move the cherries.
4. (Original post by ghostwalker)
Four spirals would do it.

Note that the cherries would be in different places on each slice.

Aside: From a practical point of view it would be far easier to cut the cake into 4 smaller squares and move the cherries.
thank you for replying, but as four spirals, how do you mean? i've tried spirals, and they ended up being different shapes. could show me what you mean please?

and it would be far easier to move the cherries, but unfortunately we are not allowed. in fact it was one of the first questions i asked. lol
5. (Original post by Alice Moody)
thank you for replying, but as four spirals, how do you mean? i've tried spirals, and they ended up being different shapes. could show me what you mean please?
I'm reluctant to just give you the solution - it would spoil the enjoyment if nothing else.

I suggest working on all four spirals simultaneously. Start at the centre, and use colours.

So your four centre squares will all be different colours. Then choose the next square for one spiral, and this will determine the second square for all the the other spirals (you have rotational symmetry - at least the way I did it.). And repeat.

It should soon become clear what will work and what won't.

I'll post a solution tomorrow if you've still not resolved it.
6. (Original post by ghostwalker)
I'm reluctant to just give you the solution - it would spoil the enjoyment if nothing else.

I suggest working on all four spirals simultaneously. Start at the centre, and use colours.

So your four centre squares will all be different colours. Then choose the next square for one spiral, and this will determine the second square for all the the other spirals (you have rotational symmetry - at least the way I did it.). And repeat.

It should soon become clear what will work and what won't.

I'll post a solution tomorrow if you've still not resolved it.
That makes much more sense now. thank you. I will have a go late tonight, and let you know if i do it or not. I really hope i manage to do it tonight

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