Full Version: MASTER MODELLERS Modelling Approach

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There are 3+ views of the carved 10" X 6" limestone, of carved wood here:
http://breezyhillturning.com/Minimal-surfaces/minimal-surface-turnings.html

Copy of paper by professor Nat Friedman:
http://math.unipa.it/~grim/21_project/21_charlotte_FriedmanPaperEdit.pdf

Note that the soap film, figure 3d, has two holes with two surfaces, and the same trefoil knot is shown in figure 7c,
as a two hole knot, which is formed by manipulating the one hole, one surface, trefoil knot of figure 7a.

I have not found a surface evolver model yet.

- Brian

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There is a tinfoil model of the knot here, as well as 1/4" copper wire.
http://t.archive.bridgesmathart.org/1998/bridges1998-139.pdf

So making such a trefoil knot in wire, and dipping it in soap and glycerin, popping the two holes,
should give a physical model...

Surface evolver is the other option...

- Brian

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The program for surface evolver, for a different sculpture, between an unknot and a trefoil, is explained here:
https://www.thingiverse.com/thing:1559227

- Brian

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Looks like a mirrored version of Jotero's Yin Yang. :-)

http://moi3d.com/forum/index.php?webtag=MOI&msg=5529.1



Regards
Stefan

Image Attachments:
Jotero's Yin Yang.jpg 

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Hi Stefan!

Wanderful model! Could you post the 3dm ?

Thanks.

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Sorry Marco, better not...

Best regards
Stefan

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OK. No problem.

Bye.

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That is the one I half remembered, only 5 years ago!
Time to try again...
As far as I know, there is not a .3dm available.
- Brian

The front view and the left view are symmetrical.

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Hi All,

Thanks for the leads cant believe the historical trail needles in a haystack falling in the same pile - MOI a great forum with a diverse range talents!

Will digest posts contained.

Best regards

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IMHO, the "yin-yang" is a seifert minimal surface on a trefoil knot.
Using the flat crossing knot diagram of the trefoil knot, showing two holes, the "braid" type,
there is a procedure to make a seifert surface by replacing the crossings by bands rotated 90 degrees.
Unrotating the central band orients the two holes to 90 degrees, and the flat surface becomes 3D.

- Brian

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