The computer calculated iso-line layout for a normal violin arch with different width for "upper" and "lower" parts

 

This is a correct violin iso-line model

The figure shows computer calculated "iso lines" based upon the described 2D and 3D geometry, after the rotation of the main geometric layouts have taken place.

These iso lines are comparable to the measured ones by Möckel. (Stradivarius and Guarnmeri del Gesu).

The straight (1...4) equal numbered "elements" mark the exact places on the arch surface that are congruent. So the number 2 "elements" in the "upper part " are congruent to the number 2 in the "lower part" in spite of a different (wider-smaller) layout of the isolines.

 

 

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Calculated 3D iso lines with "equal width" by the author

Explanatory text about 3D congruence and element-lines

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Stradivarius iso lines measured by Möckel

Guarneri del Gesu iso lines measured by Möckel

Sacconi "belly" iso lines

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Sacconi "back" iso lines

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