# Questions tagged [intersection]

Questions on finding intersections of geometric objects: lines, planes, regions etc. with possible aid of ContourPlot, Interval, InfinitePlane and others.

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### Kernel quits upon computing RegionIntersection

Using 12.1.1.0 on MacOS BigSur I observe quitting Mathematica kernels when evaluating RegionIntersections on two regions that apparently only touch. Example for Regions that cause the Kernel to quit ...
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### How to get a manipulated plot of the intersection points of two curves without finding them numerically?

I have four 2-variables functions for $0<x<3$ and $1<y<3$ ...
• 463
1 vote
161 views

### Plotting the solutions of the equation $e^{-z}=z$ in the complex plane

I would like to plot in the complex plane the solutions of the equation $$e^{-z}=z.$$ I tried this: I took $z=a+ib$ and took the real and imaginary part of the equation: ...
1 vote
111 views

### Plot the intersection of a plane with the volume of a function

I have the following function: ...
• 291
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### How to plot a point in the intersection of two functions?

I'm trying to plot the intersection of a Sum function with a horizontal line and automatically highlight the intersection points. The code below shows my knowledge of Mathematica and for different ...
65 views

### intersection between box and convex set

I have a task to make an intersection between the convex set and the box , the equation describing the convex set is r1r2r3 - r1 -r2 - r3 + 2 cos(phi) > 0, phi = 45 ,and I plot it using p2 = ...
1 vote
44 views

### Finding the shared edged between two polygons

Imagine I have two convex polygons pol1 and pol2 with a shared edge. Take, as an example, ...
• 4,388
201 views

### Find intersection points between ParametricRegion and other curves

How do you instruct Mathematica to return intersection points between curves as numerical values, when using ParametricRegion to represent at least one of the ...
• 217
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### Mysterious Intersection on Association

This bug has been fixed in version 13.0 I have try to do an intersection on list of associations and the result is astonishing. Here an example: ...
• 331
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### Finding all intersection point between two time series

I've the following time series in smoothedData: ...
• 900
1 vote
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### Determine if intersection of Polygon and HalfLine is non-empty

I have a concrete example: ...
• 2,314
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### Circular graph construction to minimize overlaps

I wish to create a set of circular graphs with 23 vertices. An example is shown below: This may be constructed by taking, for example, a random sample of the range: ...
• 1,549
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### How to speedup RegionIntersection?

Consider a circle circle located at the origin of a coordinate frame and with a radius ROffAxisArb (it is parametrized by two ...
• 4,106
1 vote
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### How to Add Vertical Line and Intersection in Manipulate-Plot-Row Diagram

I would like to represent i) the K^s value as a vertical line in the right diagram and ii) identify the intersection of the vertical line with the downward-sloping curve with "E" (as well as ...
• 183
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### How to generate randomly points that belong to the given range?

Consider some rectangle called ExperimentLocation, and a circle ParticleAzimuthalCoverage: ...
• 4,106
1 vote
222 views

### How to find the intersection points of two 3D surfaces in Mathematica?

I have two equations consisting of two variables and I'm plotting those two functions in 3D by defining the range of the two variables. I need to find the points of intersection of these two functions....
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### A condition for one domain to be included in another domain?

Consider two domains: domain1 = Rectangle[{-2.5, -2.5}, {2.5, 2.5}]; domain2[R_] := Disk[{0, 0}, R] I would like to check whether the second domain is completely ...
• 4,106
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### How to find the area of circle inside the rectangle?

Consider a circle located at the origin circ[R_] := Circle[{0,0},R] and an arbitrary rectangle ...
• 4,106
205 views

### How do you turn a normal intersection to a strict one for arbitrary number of sets?

What is the best way to generalize the following interaction of 3 sets to any number of sets: ...
• 8,417
76 views

### RegionIntersection: extra intersections

I have got an array of points, which can be represented as a ListLinePlot. Then I am trying to find the number of intersections of this ListLinePlot with a certain line. Obviously, in the demonstrated ...
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1 vote
64 views

### How to determine the domain (intersection and disjoint set) of two functions define on a set? [closed]

Suppose I have two multivariate functions $f(x,y,z)$ and $g(x,y,z)$ such that $0<x<1,0<y<1,0<z<1$. $f(x,y,z)$ is defined on values satisfying $\{0<x<1,0<y<1/2, z>y\}$ ...
• 147
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### Find the equidistance curve between two curves

I have three function $f(x)=x^x$, $g(x)=\ln(x)^{\ln(x)}$, $h(x)=\ln(x)^2$ and I want to find (numerically) $C$ the center of the circle tangent to the three curves. I think that one way is to find ...
44 views

### CountourPlot3D problem when intersecting semiplanes

I have the following code: ...
142 views

### Plot ellipses in a exponential curve

I am trying to produce a single plot, where the ellipses fits neatly within the given curve function, and with each intersecting the curve at exactly 4 points. The ellipses is $x^2/a^2+y^2/b^2=1$, ...
154 views

### Intersection between a right elliptical cone region and a plane region

I am encountering difficulties in finding the intersection between a region defined as an elliptical cone and another region. For the time being the other region is a simple ...
• 187
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### 3D plot of Intersection of sphere with plane (basic)

I should be able to get this from the answer here - but, with apologies, I'm afraid I can't figure it out. I have a sphere and a plane as follows: ...
• 2,005
1 vote
129 views

### Find the intersection coordinate of a line and a 3D surface defined by a contour plot

I have two points, for instance {1, 1, 1} and {10, 11, 15} that connected to form a line. I also have an enclosed surface region ...
• 367
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### Join two lists by using the first element

I have two lists, which as a simple example can take the form: l1 = {{a1,a2,a3},{b1,b2,b3},{c1,c2,c3}} l2 = {{a1,n1},{c1,n2}} How can I merge them by the first ...
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### Symbolic Set Difference

Suppose I have two symbolic set containing 2-points like A={(m,n)| for m,n belonging to whole numbers}. So m,n=0,1,2,... and I have another set containing 2-points ...
• 1,092
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### Find x-intercept when maximum slope of tangent intersects a point

If I have the following data: https://pastebin.com/ZY4zFJYK and the following code: ...
• 1,531
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### Is there a method to simplify RegionIntersection between 2 spheres?

I use RegionIntersection to find the circle between 2 spheres, but Mathematica returns : ...
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### Finding mesh elements within a given region

I write a code that generates the following mesh. I would like to find out the elements that completely lie within a certain circular region inside this meshed area. How do I do that? The code that I ...
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### Intersection of two lines

I have two lines: line1=InfiniteLine[{{0,1},{4,2}}] line2=InfiniteLine[{{1,2},{4,8}}] I used RegionIntersection to get intersection of these lines, but I can't ...
• 21
1 vote
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### Selecting Shared Edges from a Mesh

Consider the following mesh mesh0 = VoronoiMesh[RandomReal[1, {50, 2}]] I can select interior polygons with ...
• 4,388
173 views

### GraphicsMeshFindIntersections get extra intersections

Why am I getting some extra intersection points? ...
• 1,611
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### Rounding an Irregular Polygon

Consider a random irregular convex polygon, for example, the 6-side polygon I want to define a function that, given a certain parameter r (roundness), rounds each ...
• 4,388
1 vote
128 views

### The intersection point of a line crossing a surface is not displayed correctly In 3D Graphics

This is my code: ...
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• 8,417
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### Is there a way to Plot intersection point in Manipulate?

I've tried to plot this . But It seemed useless in MeshFunctions ...
• 1,611
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### All positive integer points up to a certain distance from a hyperplane

I have the hyperplane $\sum_{i=1}^{d} x_i c_i = z$ for $x \in \mathbb{R}^d$, defined by the vector of postivive numerical coefficients $c_i \in \mathbb{R}, c_i > 0$, and the value $z > 0$. I ...
• 1,268
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### Remove zig-zag part in the intersection curve

I would like to show the intersection between the plane $2x-y-2=0$ and the surface $z=\sqrt{4-x^{2}-y^{2}}$. This is what I tried: ...
• 425
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### Intersection between shape and line

I have a shape with some lines. Both are graphics in Mathematica. ...
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If I have two lists of points ${x,y}$, say list1 and list2 and I need to find a continuous function $y(x)$ that goes above all ...