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If you're making lots of clothes, you'll want to be able to find ways
to lay patterns out efficiently - that will require geometry, probably
algebra, and maybe even calculus.
If you want to set up a manufacturing process, you would probably want
to be familiar with control theory, and perhaps calculus.
If you're really trying to be creative, topology might be useful in
helping you think up new ways to get clothes onto and off of bodies.
(For example, pants normally have three 'holes' in them - one for the
waist, and one for each leg. But diapers have _no_ holes in them - you
wrap them around the baby and fasten them. It might be interesting to
take a few minutes to think about why they are designed that way.)
If you want to design cloth patterns, it would be useful to study
tessellation's, and perhaps abstract algebra.
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