Mobius Strip script

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 From:  bemfarmer
6804.1 
Here is a peek at a draft Mobius Strip script.

Loft, Not Closed, works well, but leaves a gap.
Hide or erase the lines, and do G2 blend of the gap, then Boolean union.

(A closed Loft seems to be much faster, but messes up the closing of the gap.)

(Mobius strips have been done on the forum before.)

I want to try a few more things, including concentrating the twist, or "fold," to limited areas of the band length.
And maybe add some thickness?

By doing a 0.2 offset, and another 0.2 offset flipped, a trefoil Mobius band can be made.

- Brian





EDITED: 2 Apr 2015 by BEMFARMER


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 From:  Mike (MGG942)
6804.2 In reply to 6804.1 
Looks very promising - I hope that you can get the thickness working.

My mother carved a double Mobius strip in wood and I have a longing to do something similar via 3D printing.

I have tried to model it but not got very far and I think that doing surface only as several people have posted may be much less difficult that a solid model.

I've designed (and printed) a couple of simple solid Mobius strips but am completely stuck on a solid double strip.

I hoping to get a decent 3d scanner (Fuel3D) later this year and it'll be interesting to see if that can capture my Mother's Mobius strip adequately. I'm not confident.
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 From:  Mike (MGG942)
6804.3 In reply to 6804.1 
How's the script progressing, Brian?

Thought that my Mother's carving might inspire you!




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 From:  bemfarmer
6804.4 In reply to 6804.3 
Mike, that is a superb carving.

Regarding the "3fold" Mobius,
I've been having trouble with a ribbon wrapped around a cylinder being a portion of a helix, NOT an ellipse,
even though the carving blank has elliptical ends. The math does not jive. I've been thinking about gluing up
a 60 degree triangle out of three broom handle pieces, and doing some wrapping, to see if the concept of ribbon wrapping is faulty.
I have not finished Boolean carving in Moi of a carving blank.

I located a nice tutorial in Adobe Illustrator of how to turn a hexagon with corner fillets into a flat picture of a Mobius 3 fold.
It has rounded corners, which again, are not helixes... http://www.deke.com/content/dekes-techniques-328-draw-a-m%C3%B6bius-strip-illustrator-0

It was fairly easy to use Blend to do a 4-fold (Non-Mobius) 3d model. I used a couple of g2 Blends, with the Bulge set to about 6 to 8 decimal places, by
repetitive number entry, until the Bulge was very close to passing through a certain point, say in the Top View.
I was thinking that it might be helpful to have a two stage bulge slider, for "fine tuning" to adjust decimal points?
The first slider could select two decimal points, and the fine tuning slider add on a few more decimal points.
(Unless there is some way to get a blend to pass through a certain point, or appear to pass through the point, in say Top View.)

I'm down to 1.1 mb upload space. Time to delete some files.

- Brian




EDITED: 7 Jul 2014 by BEMFARMER


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 From:  Mike (MGG942)
6804.5 In reply to 6804.4 
Aah! I see what you mean about ellipses. Maybe that why I get to a certain point trying to wrap a 'ribbon with thickness' around cylinders and then be unable to get the ends to line up.
I found this link which you may have seen (and even posted?) previously. It shows steps to follow in carving a Mobius strip: http://www.whiterivercrafts.com/mobius_ro_page.html

I'm too much of a beginner to follow your blend technique but I'm heartened that I'm slowly acquiring enough experience to increasingly understand more of the forum posts.

Mike.
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 From:  TOM (SIRTOM)
6804.6 In reply to 6804.1 
Trying to model a Moebius "by hand" I now discovered there is a script, another one of BrianĀ“s little gems - wow !

"I want to try a few more things, including concentrating the twist, or "fold," to limited areas of the band length.
And maybe add some thickness?"

Would be awesome to have these features available - any chance to see a "Moebius.2.0" sometimes, Brian ?
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 From:  TOM (SIRTOM)
6804.7 
Brian, have you created these using the script above ?

http://moi3d.com/forum/lmessages.php?webtag=MOI&msg=4326.17
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 From:  bemfarmer
6804.8 In reply to 6804.7 
Based upon 3 years of forgetting, the curvy 3fold Mobius was made with the script.
The straighter edge Mobius was manually made using MoI commands.

A moebius strip based upon physics has been devised, but the advanced mathematics has
made it very difficult to do a script. Someday, maybe...
http://lcvmwww.epfl.ch/publications/data/articles/115/MobiusStarostin.pdf

- Brian
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 From:  TOM (SIRTOM)
6804.9 In reply to 6804.8 
deleted by author

EDITED: 21 Aug by SIRTOM

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