# Tagged Questions

Questions on the application of Mathematica to geometric problems. You might also consider adding the [graphics] tag, if appropriate.

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### Having a 2D Parametric Function Wrap Around a Geometric Region

I am trying to study curves on the flat torus (the unit square where opposite edges are identified with each other) and I was wondering if there is a simple way for me to take a parametric curve that ...
48 views

### Showing a polygon in Mathematica

Could anyone be able to construct two shapes, a $n$-gon $P$ and a regular $n$-gon $Q$, say $n=5$?
166 views

### Intersection coordinates of two spheres

I am trying to obtain a list of coordinates at which two spheres intersect. Take for example the spheres: sp1=Sphere[{0, 0, 0}, 1] and ...
109 views

### Inflate and unite a list of 0D to 2D regions

I've got a List of BoundaryMeshRegions, created via ConvexHullMesh: ...
117 views

### Find biggest Circle having all points close to a List of Polygons

Setting Imagine a List of polygons polys (type: BoundaryMeshRegion, polygons may also overlap): ...
48 views

### ConvexHullMesh fails for collinear points

I've got a List of PointLists, of which some contain only collinear points. I now want to obtain all ConvexHullMeshes of my PointLists. For more than two ...
81 views

### Union of a List of ConvexHullMesh

How can I create a Union of a List of several ConvexHullMesh? My List is of variable length and the containing BoundaryMeshRegions may overlap. I want to create ...
130 views

### How to calculate the probability exactly

I random chioce three points from unit disk.I want to calculate the probability exactly that they circumcircle is contained within the unit disk still.Of curse,we can use the Monte Carlo to estimate ...
151 views

### Projecting a Graphics3D object onto a plane

I would like to project a 3-dimensional cone onto a plane and mark the intersection (which is an ellipse) with a line. I find cone2 by performing a transformation ...
67 views

### Obtaining arc from a DXF file

I have a DXF file that contains an arc. I did the procedure to import a DXF file and generate a Graphics3D as below: ...
80 views

### RegionPlot with rank constraint

I am trying to plot the feasible region of a rank constrained semidefinite program shown below: The Mathematica code that I am using is the following: ...
120 views

### The new introduced EulerMatrix problem

In the present version of Mathematica, there is a new command EulerMatrix[{α, β, γ}])// MatrixForm I read its document and I still don't understand it. For me, ...
165 views

### Solving my graduation exam geometry problems with Mathematica [closed]

How capable is Mathematica when it comes to typical school geometry problems? Is there a way to throw constraints at it and get it to spit out a solution? Here are two geometry problems from my ...
122 views

### Getting Area of a region transformed by GeometricTransformation

I tried this: Clear[b1, b2, A, p] b1 = {-1, 1}; b2 = {1, 1}; A = {{2, 1}, {-1, 1}}; p = Parallelogram[{0, 0}, {b1, b2}]; Then drew this: ...
564 views

### how to get $n$ equidistributed points on the unit sphere

We can get $n$ equidistributed points in the unit circle using CirclePoints. But how do you get $n$ equidistributed points on the unit sphere(surface of a ball)? ...
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### A shift of a trapezoid and a connect to the original

I have: Graphics[{ Line[{{0, 0}, {30, 0}, {55, 50}, {-25, 50}, {0, 0}}] }] Now, I'd like to keep it in place, then shift a copy up and to the right, then ...
481 views

### Is there a numerical method/built-in to calculate the boundary of a set of graphs?

Recently, I encounted a geometry problem in my work. For a curve-family that owns the following parametric equation: $$E(t,\theta)= \begin{pmatrix} x_E(t,\theta) \\ y_E(t,\theta) \end{pmatrix}$$ ...
158 views

### How to make a two letter monogram in 3d like the one on www.mymo.is? [duplicate]

I want to achieve the same effect like the project on http://www.mymo.is/. By taking two letters and combine them in 3d, you can get a complex shape that looks like one letter on the one side and the ...
793 views

### Max & min distance between two moving points

I am trying to find the minimal and maximum distance between two moving points with Mathematica in an interval. For example, ...
305 views

### Probability of a random point inside the intersection of two triangles

I hope I can explain this problem clearly. It has been bothering me for sometime and I do not know how to solve it even with Mathematica's help. I finally stumbled upon an idea, see my answer below. ...
45 views

### How to apply a shear matrix?

I have curves that I made to create a design using graphics[], and I wanted to apply a shear to this. I know/think that a shear comes in the {1,lambda}{0,1} form, and that I'm supposed to my multiply ...
105 views

### Angle between two vectors in spherical coordinates [closed]

I have two vectors: H = {1, 0, π/4}; EA = {1, 0, 0}; Which I want to be in {r, Phi, Theta} - which would should give an angle between the two vectors as ...
143 views

### Draw Vectors in Spherical Shell and then Animate

I want to draw three vectors inside a spherical shell. One of the vectors will be moving, the others will be stationary. However, the animation is the next step. For now, I would like to get the ...
150 views

### HIghlight intersection of two disks [duplicate]

I tried this: reg1 = Disk[{0, 0}, 1]; reg2 = Disk[{1, 0}, 1]; reg3 = RegionIntersection[reg1, reg2]; Then this: ...
212 views

### geodesics' on torus

Is it possible to draw geodesics between the points in a path on a torus - toroidal surface? geodesics: generalization of the notion of a "straight line" to "curved spaces" ...
177 views

### Bug in RegionMember?

Bug persisting through 10.4.1 RegionMember (new in V10) appears to have a bug. For some polygons it finds points that are clearly outside to be "members" of the ...