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## Homework Statement

There was the times 100 years ago, N.Herreshoff was designing giant J Boats, America s Cup boats by only carving a wood piece in few hours ,without drawing calculating anything and builders were measuring the wooden half model and building a multi million dollar yacht wins the Cup against England in the ocean.

There are lots of yacht designs but this N. Herreshoff is unique with his design method.

Now I know string theorists are busy to transition making from one manifold to other by order of diff and integral calculation.

Can we take a reference shape for example sphere and can we write a formula that says how sphere transitioned to Herreshoff Yacht manifold ?

I mean, Does Diff. formulas of 5 yachts say something about that genius if we start to find diff. formulas of simple manifold - sphere -to complex manifold - yacht -topological transition of Herreshoff designs ,

And how this is done ?

## Homework Equations

diff and integral and topology