Full Version: Modeling of a Mobius strip?

From: AlexS (ALEKSEI)

8 Jun 2011 [#1]

How to modeling of a Mobius strip? Tried a variety of tools, nothing happens. There would be tools such as Twist, Bend, and the like ...

Thanks...

From: Frenchy Pilou (PILOU)

8 Jun 2011 [#2] In reply to [#1]

Here one concept ;)
Some headaches in perspective !
By Alain Lesculier

From: Nick (NVANLAAR)

8 Jun 2011 [#3] In reply to [#2]

It's not as elegant, but you could use a 3D curve(s) as rails for a sweep of a line. Here's a quickie:

Attachments:
mobius.3dm

Image Attachments:
mobius.png

From: amur (STEFAN)

8 Jun 2011 [#4]

Here's my approach...

well since i'm to tired i simply imported 24 open lines forming the strip and then did two (open) lofts to create the moebius strip in MoI. I did that also a couple of years ago in ViaCAD and used 12 open lines for that. The construction of the lines i did in the following way. I created 12 circles which would form a torus shape and in each circle, consisting of 12 control points, (starting at 12 o clock) i drew one line until i reached 12 o clock again and then did a loft of those lines. Hope i explained it well enough.

Regards
Stefan

Image Attachments:
moebiusstrip.jpg

From: Michael Gibson

8 Jun 2011 [#5] In reply to [#4]

The lines method + loft that Stefan shows may be the easiest...

You wont' be able to use the "Closed" option in Loft because that tries to make a regular closed surface and in this case you want opposite corners of the surface to be touching instead.

So leave a small gap in the surface, and then fill in the gap with a second step - one convenient way to fill in the gap is the Blend command - hide the line cross-sections that were used to make the Loft surface and then you can select the ending edges of the loft and run Construct > Blend to build a smooth surface between them filling it in.

- Michael

From: DannyT (DANTAS)

9 Jun 2011 [#6]

Using Pilou's example....

Cheers

Attachments:
mobius_strip.3dm

Image Attachments:
Mobius.JPG

From: Frenchy Pilou (PILOU)

9 Jun 2011 [#7] In reply to [#6]

Cool try!
Model by Danny

if you are interested I have made this little prog :)
It's for Processing (free) but you can adapt for any language :) http://processing.org/
A little fractal effect
Just put your image in the Data folder and copy past these few lines : it's all ;)

code:

size(1024,512);                                  // your image's size in pixel
PImage pilou = loadImage("your image.png");     // any image with a subject + transparent background
 int t = 8;                                    //  minimum height size in pixel
for (int k = 8; k &lt; 513; k = k + t) {      // increase width and height
   for (int y = 0; y &lt; 513; y = y + k) {  //position x,y of each new image on the screen
     for (int x = 0; x &lt; 1023; x = x + k*2) {
     image(pilou,x,y,k*2,k) ;             // draw an reducted image at the x,y position on the screen
     }                                   // end loop x
  }                                     // end loop y
filter(INVERT);                        // invert colors between each new screen, you can erase it
t=t+8;                                // increase  height size in pixel can be anything
}                                    // end loop k
image(pilou,0,0);                   // draw at the end your image :)

Have fun fractalising !

a little model by me :)

From: AlexS (ALEKSEI)

9 Jun 2011 [#8]

Thank you all for your answers!

Michael, but better in the next version of tools to make the deformation geometry, such as Twist, Bend, and so on. This much reduces the time to create complex models, such as Möbius strip, and increase the chances of your wonderful program!

Once again, thank you, all you really helped me!

Alex.

From: Ambimind

10 Jun 2011 [#9] In reply to [#7]

and Pilou has been doing this since zbrush v1 :)
Doesn't this indicate there is a concept :)
And yet, they are still beautiful :)

From: Michael T. (MICTU_UTCIM)

10 Jun 2011 [#10]

Here is one I did a while back. I hope to do a video tutorial someday :-)

Michael T.

Image Attachments:
Mobius-Strip-110610.png

From: YFF (DFSWYF)

10 Jun 2011 [#11] In reply to [#10]

Looks nice! Thank you.

From: amur (STEFAN)

10 Jun 2011 [#12] In reply to [#11]

Ouch, my description was wrong...it tells you to do a 360 degree rotation of the lines and not a 180 degrees rotation, sorry. With a 360 degree rotation of the lines someone can create a cutting object* for a split torus model (Keizo Ushio stone sculpture)...;-)

*Simply cut a torus with it in two halves and then arrange the parts shown like shown in the picture.