Linked Questions

69
votes
4answers
5k views

Can Mathematica solve Plateau's problem (finding a minimal surface with specified boundary)?

Given a closed curve $\mathcal C$ in three dimensions, is it possible to use Mathematica's built-in functionality to compute a minimal surface whose boundary is $\mathcal C$? For simplicity, let us ...
52
votes
2answers
2k views

A geometric multigrid solver for Mathematica?

Cross posted to community.wolfram.com Mathematica ships a variety of linear solvers through the interface LinearSolve[A, b, Method -> method] the most ...
22
votes
6answers
2k views

How to obtain the cell-adjacency graph of a mesh?

In addition to the accepted answer, see also the answer by Chip Hurst. This functionality is built in, but not documented. Given an arbitrary mesh region, how can I efficiently obtain the graph ...
11
votes
2answers
1k views

Catmull-Clark and Doo-Sabin Subdivision Implementations

I want to work on subdivision surfaces. Unfortunately, I don’t have any source code to start with. I need some Mathematica codes for applying Catmull-Clark and Doo-Sabin methods. I would like to ...
9
votes
4answers
420 views

How to make a random pebble?

I would like to generate a random smooth convex body, like a pebble or a potato (but strictly convex, that's necessary). My attempts: ...
9
votes
3answers
564 views

How to smoothen a surface given as a mesh?

I am trying to "smoothen" meshes. For example, if starting from a cuboid, I would like something similar to a rounded cuboid. There are many ways to smoothen a surface, but I am not going to give a ...
5
votes
2answers
270 views

How to upsample a (non-boundary) mesh region

I have a simple 2D triangle mesh embedded in a 3D space; note that it is not a BoundaryMeshRegion, but it is a MeshRegion. What ...
7
votes
2answers
829 views

Improve export resolution of a 3D arrow

Here's a pretty red arrow: ...
3
votes
1answer
721 views

How can I create a minimal surface with trefoil knot as inner edge and circle as outer edge?

This minimal surface is the subject of Michael Foster's beautiful wood-turned sculpture "Inversion" (see http://breezyhillturning.com/styled-2/photos-2/index.html). In addition, how can one create 2D ...
3
votes
1answer
101 views

How to turn a collection of contour lines into a printable object (mesh, etc)?

Inspired by Henry Segerman's developing fractal curves, I decided to try to convince Mathematica to do something similar. The inspiration for cf, f, and g below came from How to make this Dragon Curve?...