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3D modeling with paper

arvinpoddar.com

21–30 of 52 posts

Re: 3D modeling with paper

#21
I remember paper models being very widespread when I was a kid in the Czech Republic, they were always included in a popular magazine for kids, no idea whether it has changed. Per ChatGPT this is unique for this region - Czech Republic, Poland, Slovakia.

Re: 3D modeling with paper

#22

You could have replaced a bunch of faces with larger cylindrical/conical faces (aka 3D developable surfaces) to get a more realistic look. Paper can bend! I wonder if there are algorithms for approximating arbitrary geometries with a combination of planar, cylindrical and conical faces? Sheet metal fabrication should be facing the same constraints.

That type of shape constraint would be called having a ruled surface with a Gaussian curvature of 0 everywhere, otherwise known as a 'Developable Surface'.

Fitting a -single- such surface to a set of points is nearly trivial; finding a way to best fit -multiple- such surfaces together to approximate a non-trivial shape (cloud of points) where they share edges in a way that could be joined like this paper model.... feels very NP-hard to me. This is a subset of the problem in the 3d-scan-to-CAD industry where you have a point cloud/mesh and you need to detect flat planes, cylinders, fillets, etc of a 3d scan and best-fit primitive surfaces to those areas and then join them into a manifold while respecting a bunch of other geometric and tolerance constraints.

There is a reason why there are only a few software packages that even attempt to do this, and it is almost always human-guided in some way. It's a fascinating problem.

Re: 3D modeling with paper

#25
post #16
post #7

I always wonder what the Elements would have looked like had Euclid had included paper folding as a primitive. Folds are powerful. One can trisect or n-sect any angle for finite n. One still needs the compass though for circle. Straight edge Compass Nuesis Paper folding Makes for a very powerful tool set.

The Greeks were not adverse to studying topics outside of the classic axioms, for example neusis, conic sections, or Archimedes work on quadrature (which presaged calculus): https://en.wikipedia.org/wiki/Neusis_construction https://en.wikipedia.org/wiki/Conic_section https://en.wikipedia.org/wiki/Quadrature_(mathematics) https://en.wikipedia.org/wiki/Quadrature_of_the_Parabola They just preferred the simpler axioms o…

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Re: 3D modeling with paper

#26
This is ridiculous. I’ll tell you why. Here I quote:

“All parts in the assembled model must be made of paper. Each part must be a single, solid color. The parts must not use any printed textures or designs. The model must be represented as a simple polyhedron.”

Must. Must. Must. This is a game. Or an art school exercise.

Modeling is concerned only with attaining the necessary accuracy. Not conforming to a methodology.

Re: 3D modeling with paper

#27
This is super cool. In theory, a lot of this could have been automated. Quad remesher would probably get you close enough to import to the paper software and Cricut like machine for the cutting and scoring(?).

Re: 3D modeling with paper

#28
It is/was quite popular in Poland. 35 years ago, as a kid, I was assembling paper models. Planes were the easiest, usually it took about 2 days to do one. Couple of years ago I wanted to get back to it, so I bought a plane. Well, it turned out that fashion for paper models had changed and now 'reductionist' models are in full swing - being as close as possible to original. That plane has 160 pieces (a lot of them also subdivided), and every part that has size about 10cm in real life, has been modelled. In two weeks I was still in cockpit. Here is paper model of SR-71: https://www.sklep.model-kom.pl/sr-71-model-samolotu-rozpozna... From drawings it looks like it is more than 167+, not including subparts.

Re: 3D modeling with paper

#30

I remember paper models being very widespread when I was a kid in the Czech Republic, they were always included in a popular magazine for kids, no idea whether it has changed. Per ChatGPT this is unique for this region - Czech Republic, Poland, Slovakia.

These were popular in Soviet Union as well. At least in seventies in Baltic states where I grew up.
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