3D modeling with paper
21–30 of 52 posts
Re: 3D modeling with paper
#22You 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.
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
#23https://creativepark.canon/en/categories/CAT-ST01-0071/top.h...
Re: 3D modeling with paper
#24https://www.homeworldaccess.net/infusions/downloads/download...
Re: 3D modeling with paper
#25I 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…
Re: 3D modeling with paper
#26“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
#27Re: 3D modeling with paper
#28Re: 3D modeling with paper
#29Re: 3D modeling with paper
#30I 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.