What connects sound and shape

This is Viola d’amore in the state before assembling.
The usual making method is to accurately imitate the model. I searched various images of viola d’amore on the Internet and used the general shapes as a reference.These shapes were created by purely listening to the sound ( tapping tone) and molding it so that the tone would be aligned.
Since the sound determines the shape of the musical instrument, it is fundamentally different from the method of measuring thickness with a measuring instrument.
It looks like a living thing.
Doesn’t it look like a freshly picked vegetable or mollusk?

The shape created by sound is the shape of life. If you are guided by the sound and continue to scrape, no matter who does it, it will take on this shape. It is generally thought that the shape of the instrument determines the sound, but in fact, the sound determines the shape of the instrument. Furthermore, the shape of the instrument cannot be drawn with a ruler or compass.

So how can we create a shape that is reminiscent of life?
With a ruler or compass, you can draw a Ferrari but not an eggplant or cucumber in a field. Traditional geometry geometricizes time and makes it a parameter, but life does not exist in such time.
Is it possible to create new geometry by rethinking about the concept of time?
The geometry of sound (the geometry of life) should be such a geometry.

So, by examining the relationship between sound and form, I am considering the possibility of such a new geometry.