# Tag Info

### Distributing points on boundary (roughly) evenly

Edit For the original code,we can subdivide the line to add some points. ...
• 72.7k
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### Visualizing region outlines

3. Inspired by chayong's answer, a direct way to identify the boundary edges using RegionMeshMeshCellNormals: ...
• 395k
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### GraphicsMeshFindIntersections not working in Mathematica 13.3

\$Version "13.3.1 for Microsoft Windows (64-bit) (July 24, 2023)" ...
• 72.7k
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• 395k

### How to recursively subdivide a quadrilateral?

a starting point. ...
• 72.7k
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### Finer mesh for selected subregion of a solid 3D cylinder

Version 1 One way to do it could be to generate a 2D disk mesh with an appropriate refinement and the extrude that to 3D. ...
• 39.8k
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• 53.7k
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• 395k
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### Calculate in which Voronoi cell a coordinate pair lies

The Voronoi diagram cells represent regions with the same nearest point, so you can easily do this with Nearest[coords->"Index"] to get the index of ...
• 25.3k
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### RegionDifference imperfection

Rationalizeing the two volumes before taking the region difference fixes the issue: ...
• 395k

### Solving a nonlinear PDE on a mesh with a variable density

Setting a large enough constant InitialSeeding for FEM seems to help :D : ...
• 66.2k
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### Mean curvature calculation of a mesh (Surface Evolver)

Not sure what the Surface Evolver does, but the following should be a quite quick an appropriate approximation of the squared mean curvature integral. Note that I am using code from this post: https://...
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### ToElementMesh with OpenCascadeShape returns incomplete region

Clear[bmesh]; bmesh = OpenCascadeShapeSurfaceMeshToBoundaryMesh[cyl, "ShapeSurfaceMeshOptions" -> {"AngularDeflection" -> 0.05}] <...
• 72.7k
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### Finding intersection of two curves using mesh functions

This maybe works like before: ...
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### How can I transform a 2D mesh to 3D?

If the 2D mesh is watertight, you can create a BoundaryMeshRegion from it and then call DiscretizeRegion on it. The result fills ...
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### How to get finer discretization of 3D polytope?

Edit I found that "Length" -> .2 work when we use ...
• 72.7k
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### Generating (or Obtaining) the 3D Mesh (Boundary or Element) from an Anatomy3D Image

You'd need to use DiscretizeGraphics[img] because AnatomyPlot3D returns a Graphics3D and not a 3D image.
• 39.8k
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### Plotting the z(x,y) = 0 plane with Plot3D. How can I make the Mesh in polar coordinates?

Try Plot3D[0, {x, -10, 10}, {y, -10, 10},MeshFunctions -> {(Sqrt[#1^2 + #2^2]&), ArcTan[#1, #2] & } , MaxRecursion -> 4, PlotPoints -> 100]
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### Visualizing region outlines

Updated BoundaryMesh is not needed, faster than the previous version ...
• 15.5k
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### Finding area under a region of a Parametric Plot using mesh functions

Hope I understood your question correctly. Using P3 as start, first take all the points ...
• 53.8k
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### Graphing the locus of points a unit distance from a rectangular prism

One way is RegionDilation according to a unit ball Ball[{0, 0, 0}, 1]. ...
• 72.7k

### Distributing points on boundary (roughly) evenly

Resample discrete points using LineScaledCoordinate. ...
• 784

### Coarse mesh of a tube (cylinder surface)

For 2 dimension embeded in 3 dimension,sometimes use MaxCellMeasure -> {"Length" -> #} or ...
• 72.7k
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### Solving a nonlinear PDE on a mesh with a variable density

Transformation u[x,y]->1+v[x,y] enables a solution without InitialSeeding: ...
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• 158k
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• 395k
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• 72.7k