I digitized these curves and used a CAD-program to arrange them in different ways in order to find some kind of clue to the geometry. The curves could roughly be represented as NURBS-curves with two control points in the application Rhinoceros (Rhino).
Arranged in this way, the endpoints seemed to lie along two circles with the diameter 4/5 of the curves length. The displacement between the circles was 1/4 of the diameter.
I measured angles and distances in order to understand, but could not see any connections.
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Purpose of this page
When you bend a thin strip of an elastic material you get a beautifully shaped curve. What geometry does this curve follow? Please help unravel this mystery by commenting these posts!
(Upside down) Because this is a "blog", oldest posts are shown last. To get the story straight - read from bottom to top!
Type of bending
I'm looking at the type of bending that is elastic (not plastic), meaning the material will spring back to its original shape when the force is released. Most materials break or deform permanently before they can reach an 'elastic and beautiful curve', but I think all 'elastic deformation' follow the same principals and therefore the same geometry.
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