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Angular position on a rectangle

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If you imagine a rectangular clock face, I need to calculate the positions where the numbers go (i.e. at the edge of the rectangle).

Calculating the position on a circle is trivial, but my brain is not engaging with how I can get the position on a rectangle this morning...

...can anyone point me in the right direction?

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Actually, I played around with this some more, and the clock anaology is incorrect.


The actual problem is this:

I need to place n tiles on the edge of a rectangle (dimensions w & h), if there's too many pieces to fit then add additionally to w & h so they can...

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