How to infer this geometry more exactly?

I have a plastic pipe which has a “squarish” shape (not perfectly circular) and I’m trying to infer the exact actual geometry based on the following four (4) measurements:

  1. Bigger diameter : 39.5 mm
  2. Smaller diameter: 35.5
  3. There’s a fillet radius in the “corners” of approx. 2.5 or 3 mm.
  4. The maximum diagonal diameter is 40.5 mm.
  5. The radii of the bent sides are not known/measured (but they obviously do not conform to the measured diameters)

Q: Can the “true” geometry (like the exact position of the corner radii, and it follows, the radii of the sides) be exactly calculated based on the above dimensions?

I made a manual approximation based on the above dimensions, but I hope that someone smarter than me can infer a more exact geometry:

//Rolf

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You would have to build it using parametrics, to then see what the degrees of freedom (dof) are.

There might be 2 to 4 dof’s still.

untitled111.3dm (108.5 KB)

Greetings! My thoughts are that you need one more dimension in order to get an accurate representation. This could be an angle or other reference dimension, as is in Blue in this file. Chosen for its relative ease of measurement.

Or… Scan it as a .tiff and use the scan as a tracing template. Tiff is 1:1 from the scanner.

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