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# Triple Cubes

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Age 5 to 11

Challenge Level

Well, here I've placed a
group of cubes. They are in threes and coloured differently.

What do you notice about
them?

You could get $8$ triple
cubes like these, each triple a different colour. Don't separate
the triple but use them as building blocks to see what you can
make.

For some of you it
would be good to keep the eight triple cubes facing their own ways
and not turn them around. In this way we keep eight arrangements
that are different.

We can now use these as
building blocks to make interesting arrangements and shapes. Here
is one to start us off.

Notice how I've joined
them together with square faces touching. This might be the
way that you decide to build.

Or, you may include some
"edge" joining as in this one.

So now it's your turn to
see what you can make from these eight triple cubes.

How many different ways can you find to join three equilateral triangles together? Can you convince us that you have found them all?

Two children made up a game as they walked along the garden paths. Can you find out their scores? Can you find some paths of your own?