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Solve advanced geometrical problem

This project received 9 bids from talented freelancers with an average bid price of $116 USD.

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9
Project Description

A company producing metal bellows needs someone to create a function, which can be used to calculate the l=length constant in the cases below.

Examples of metal bellows can be seen in these images:
[url removed, login to view]
[url removed, login to view]
[url removed, login to view]:ANd9GcTZMUSw-9T6px24a-BVoVM_ej3lUjciE0AQQQwVMZGfg9eWDinPhg
[url removed, login to view]:ANd9GcTAkkjKff-FmRcMNyqnge6AcTrUX4eFHHul_V00voYA6Pc2eIYM

From the company needing the formula: "It is about forming our metal bellows from thin sheet material. The length of l should be constant, in order to avoid overstretching of the material by forming the convolutions out of a tube."

They have further description of what they are after in the attachment.

I am not competent to answer any questions for clarifications so if you have any questions, you can ask them here (please notify me here when you have asked a question there).
[url removed, login to view]
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