New answers tagged polygons
3
votes
How to Find "n" for n-th Triangular Number
WolframLanguageData["PolygonalNumber", {"VersionIntroduced",
"DateIntroduced"}]
Using ...
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2
votes
Accepted
Generate A Point Inside An Arbitrary Concave Polygon
Here's a fast algo: 1) find convex vertices, 2) from those find one with the maximum Cross between its segments, 3) then pick a point using bisector and a small ...
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2
votes
Generate A Point Inside An Arbitrary Concave Polygon
I posted a hasty answer which without having Mathematica. I have deleted that one. Here is a better version if someone else wants a go.
Take two points A, B on a polygon side.
If A is B and the side ...
- 121
2
votes
Accepted
How to Handle Non-Coplanar Vertices in BoundaryMeshRegion Constructed from ParametricPlot3D?
The same way as
https://mathematica.stackexchange.com/a/302959/72111
https://mathematica.stackexchange.com/a/306411/72111
https://mathematica.stackexchange.com/a/306683/72111
https://mathematica....
- 84.1k
6
votes
How to Handle Non-Coplanar Vertices in BoundaryMeshRegion Constructed from ParametricPlot3D?
There are a couple issues with your current approach.
(1) You're trying to make a Polygon cell from the points on a spiraling line (red line shown in plots). I'm not sure what your intention is here, ...
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7
votes
Generate A Point Inside An Arbitrary Concave Polygon
decomposition the polygon into several triangles (or convex set) before select points.
...
- 84.1k
13
votes
Generate A Point Inside An Arbitrary Concave Polygon
We can use mesh regions instead. For $n = 1000$ here's timings on my machine:
SeedRandom[1];
RandomPoint@Polygon[points]; // AbsoluteTiming
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8
votes
Accepted
How can I make all the lines within the polygon turn gray in that region?
RegionFunction with RegionMember.
To make difference color, we use ConditionalExpression.
<...
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