Unrolling mobius strip

Hi guys!

So I have an intersecting mobius strip and I am trying to unroll this into a straight rectangular surface that has the same u and v domain, which I will use to punch holes through and remap it on the mobius strip.

What step should I take to make the surface into a regular grid so that it can unroll into a rectangle than a curved surface.

I was trying to deconstruct the domain of the surface and create a new surface with a controlled domain, but I have no idea what to do next.

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Permalink Reply by Joseph Oster on October 7, 2015 at 6:31pm

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intersectingmobiusstrip_2015_Oct7a.gh, 15 KB

Permalink Reply by Yoonho Oh on October 7, 2015 at 6:46pm

I did it in a different way but I think this is better!

Thanks!

Permalink Reply by Joseph Oster on October 7, 2015 at 7:13pm

Looking at it further, I'm pretty sure it isn't correct... I've tried a few variations and am seeing some weird stuff. Cool project though!

Do you really need to unroll it? Maybe you can cut the holes in the twisted surface?

There appears to be a discontinuity where the ends meet?

Looking at other Möbius strip efforts in GH...

http://www.grasshopper3d.com/video/untitled-2

http://www.parametricmodel.com/Mbiusstrip/69.html

Permalink Reply by Yoonho Oh on October 7, 2015 at 8:33pm

Sorry I didn't know having multiple threads will be a problem. I just had a new thread because I solved what I asked for on this thread so I thought creating a new one would make sense.

Anyways yea I think the unrolled surface you made for me is incorrect length wise. So I am using what I had previously, but I am having trouble with it where the circles don't get mapped the way I wanted to.

It seems like the vertical part where the start and end of the unrolled strip meet has a longer distance between two circles than the other parts. I calculated the start point of the array of circles so that it starts at half length of the distance between two circles so that the start and end meet and make the right distance between each other.

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unroll.jpg, 104 KB

Permalink Reply by Joseph Oster on October 8, 2015 at 7:13am

This isn't easy! I tried making the Möbius strip 3D (w/ thickness), like in your image, but can't figure out how to cut holes in it (colored cylinders). 'Sweep 1' failed horribly (upper left) but 'Loft' looks pretty good, though still a slight discontinuity where end returns to beginning...

Not sure what else to do except forget thickness and go back to 'Map Srf', though I'm not sure I have to unroll before creating a surface with holes...

P.S. Thanks for sticking to one thread; can you re-post your code from the other thread to this one?

Permalink Reply by Yoonho Oh on October 8, 2015 at 7:24am

Can you help me out making a flat one without any thickness? I would prefer using the unroll method for this project.

Permalink Reply by Yoonho Oh on October 8, 2015 at 7:26am

And here are the codes

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intersectingmobiusstrip.gh, 14 KB
intersectingmobiusstrip.3dm, 49 KB

Permalink Reply by Yoonho Oh on October 8, 2015 at 7:32am

Something like this

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intersecting mobius strip.jpg, 19 KB

Permalink Reply by Yoonho Oh on October 8, 2015 at 8:04am

I would prefer using the copy trim component for remapping the unrolled surface to the mobius strip

Permalink Reply by Joseph Oster on October 8, 2015 at 8:15am

This looks great! (yours, below) What's the problem? Holes are egg shaped instead of round? Have you played around with params to change sizes, number of holes? Your original image has 27 holes and a larger radius for the strip, relative to holes diameter.

Permalink Reply by Yoonho Oh on October 8, 2015 at 8:19am

No this is just an image I found

Permalink Reply by Yoonho Oh on October 8, 2015 at 8:23am

The holes are still at the wrong spot because for some reason, the start and end part of the strip has a longer distance between the two holes than the other parts

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