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My mom knows I like geometry, so when she saw these hexagonal
cake pans, she knew she had to get them for my birthday. I'm going
to use the pans to make four gingerbread cakes this weekend.
I won't put any icing on the cakes, but will make some whipped
cream that my friends can help themselves to.
Five friends and I are going to cut one of the cakes into six
congruent pieces.
We can do this by making three straight cuts that connect opposite
vertices of the hexagon and cross in the center.
This gives us six congruent equilateral triangles. We'd like to
split each of the remaining three cakes into six congruent pieces.
However, we don't want to cut any two cakes in the same way.
Figure out and describe how we could cut each of the remaining
cakes.
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