MASTER MODELLERS Modelling Approach

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 From:  AlexPolo
8587.1 
Hi all,

Trying to create a shape similar to this have had various levels of success wondering if any Master Modellers have any pearls of wisdom on approach methods.

Have tried blended lofts and subD skins


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 From:  bemfarmer
8587.2 In reply to 8587.1 
Hi AlexPolo

I've seen this art piece in the past, but never figured out how to do it.
A few years ago I saw it with a red face, and another color face, I think on an artist's site.
There were a few more view angles.

This recent post may be of help. The basic shape of the holes is that of parabolic cyclide, two parabolas
with vertices passing through each others focus, with different size circles ( or spheres) centered on them, and lofted/swept.
http://moi3d.com/forum/index.php?webtag=MOI&msg=8576.5

Do you have a link to the page with the art?

- Brian
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 From:  AlexPolo
8587.3 
Hi Brian,

Thanks for link will delve into it here is link to artists site.

http://www.bridgesmathart.org/art-exhibits/jmm09/friedman.html
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 From:  bemfarmer
8587.4 In reply to 8587.3 
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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 From:  bemfarmer
8587.5 In reply to 8587.4 
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

EDITED: 14 Sep by BEMFARMER

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 From:  bemfarmer
8587.6 In reply to 8587.5 
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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 From:  futagoza (STEFAN)
8587.7 
Looks like a mirrored version of Jotero's Yin Yang. :-)

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



Regards
Stefan
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 From:  mkdm
8587.8 In reply to 8587.7 
Hi Stefan!

Wanderful model! Could you post the 3dm ?

Thanks.

- Marco (mkdm)
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 From:  futagoza (STEFAN)
8587.9 In reply to 8587.8 
Sorry Marco, better not...

Best regards
Stefan
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 From:  mkdm
8587.10 In reply to 8587.9 
OK. No problem.

Bye.

- Marco (mkdm)
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 From:  bemfarmer
8587.11 
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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 From:  AlexPolo
8587.12 
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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 From:  bemfarmer
8587.13 In reply to 8587.12 
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

EDITED: 14 Sep by BEMFARMER

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