Questions tagged [geometry]
Questions on the application of Mathematica to geometric problems. You might also consider adding the [graphics] tag, if appropriate.
941 questions
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Possible configurations of the four self-intersection points of a closed plane curve
While reading A. Kato's recent question about computing the parameters of self-intersections of a closed plane curve, I took a closer look at the same spline example used there and noticed an ...
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Points between which the region distance was measured
RegionDistance is quite effective. But can we extract positions of points between which this distance was measured (without using other methods to recompute them)? ...
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How can I find the center-point of a circle given three 3D points on its boundary, without dealing with huge expressions?
I've been using Wolfram Engine 14.3 for a personal project, one part of which required finding the center-point of a circle in 3D space when given the coordinate-triples of three points on the circle'...
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How can I modify this code so that it can solve this geometric problem?
I encountered the following geometry problem:
Quadrilateral $ABCD$ is a parallelogram with $AB = 8$. Let $E$ be a point on side $AD$. Reflect point $D$ across line $CE$ to obtain point $F$. The point $...
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Observation about concave mesh
When testing ConcaveHullMesh I made an interesting observation.
Apply it iteratively. Let’s start with a small number of randomly selected points and build their concave mesh.
Next we define centroids ...
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How can I find the length of $BF $ in this plane geometry problem?
I encountered some issues while using Mathematica to solve the following geometry problem:
Geometry problem: Quadrilateral $ABCD$ is a parallelogram with $AB = 6$ and $BC = 8$. Point $E$ lies on ...
- 447
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Self-intersecting polygons types and their area
Here we have two polygons - first of type "simple polygon" and second of type "polygon with holes". Everything makes sense and their area is computed correctly - the area of the ...
- 38.1k
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CollinearPoints returning True for noncollinear points
I think there might be an issue with CollinearPoints at least in the 14.2 Windows version I'm using. The issue arises where there are duplicate points and mixed ...
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How should we formulate angle geometry constraints in Mathematica to help the solving system work more efficiently and speed up the solution process?
Quadrilateral $ABCE$ is a parallelogram. Point $D$ lies on segment $AE$. The diagonals of quadrilateral $ABCD$ intersect at point P. If $△ABP∼△CBD$ and $AB<BC$, find the ratio $\frac{AB}{BC}$.
The ...
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Are there any good ways to improve this code so that it can solve the geometry problem？
While using Mathematica to solve the following geometry problem, my computation has been running for a long time without producing any result.
The geometry problem is:
Quadrilateral $ABCE$ is a ...
- 447
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Find all cases of shortest curve on 3D surface
There are cases when there exist several different shortest curves with exactly the same length.
Do you have a better idea than mine which is adding obstacles to first found curve so that algorithm is ...
- 38.1k
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How to improve the symbolic computation speed for plane geometry with multiple constraint conditions？
This is the simple geometry problem I want to solve:
In triangle ABC with side lengths a, b, c respectively, there is a point D on side AB, where AD = d. Find the length of CD.
When solving this ...
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Is there a built-in function or custom function that can perform symbolic solving under `GeometricScene` constraints？
In the new version of Mathematica, there is a new function called GeometricSolveValues that can solve for unknown geometric quantities in a geometric scene with ...
- 447
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How to improve the accuracy of the coordinates generated by the GeometricScene and RandomInstance functions?
When using the GeometricScene function and RandomInstance function, I noticed that the coordinate precision appears insufficient ...
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CircularArcThrough[points] does not return a circular arc through points
Bug introduced in 14.2 or earlier, fixed in 14.3.
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