David and Detlef,
Geometry tells us that the only cross-section that produces a uniform width when viewed from several angles is a circle (or a circular object with many small facets). I believe the pictures show that this is not a flat tang, nor a square tang.
I would like to put it through a computerized tomography (CT) scanner, but those are expensive pieces of equipment found only in hospitals and radiology clinics and are not readily accessible. A CT scan would definitively answer if the tang was round in cross-section.
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