#Minimize Crease Length

13 messages · Page 1 of 1 (latest)

cloud wigeon
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A normal A4 piece of paper is folded in accordance to the image of dimensions a, asqrt(2). Let x be the length of the dotted line. Let theta be the angle between x and the crease L. Find functions x(theta), L(theta), and find a value for theta which minimises L.

cunning foxBOT
minor marlin
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"let theta be the angle between x and theta" a bit confusing

cloud wigeon
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my bad, i made a typo while translating the problem.

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theta is the angle between L and the lower dotted line

minor marlin
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what is x?

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L you mean?

cloud wigeon
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x is the length of the lower dotted line so theta is also the angle between x and L

minor marlin
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yeah so take the drawing, write every length you can find depending on theta

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and every angle

cunning foxBOT
cloud wigeon
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.close