# 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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### 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 $x^2/a^2+y^2/b^2=1$, ...
71 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 ...
85 views

### 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: ...
69 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 ...
62 views

### 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 ...
29 views

### 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 ...
93 views

### 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: ...
201 views

### Is there a method to simplify RegionIntersection between 2 spheres?

I use RegionIntersection to find the circle between 2 spheres, but Mathematica returns : ...
123 views

### 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 ...
45 views

### Selecting Shared Edges from a Mesh

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

### GraphicsMeshFindIntersections get extra intersections

Why am I getting some extra intersection points? ...
926 views

### 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 ...
57 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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### Is there a way to Plot intersection point in Manipulate?

I've tried to plot this . But It seemed useless in MeshFunctions ...
44 views

### 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 ...
234 views

### 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: ...
121 views

### Intersection between shape and line

I have a shape with some lines. Both are graphics in Mathematica. ...
282 views

### Fitting a curve between two sets of points

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 ...
45 views

### points of intersection along curve and horizontal line [duplicate]

I'm trying to find the intersection points of the following plot with the given boundaries. How would I do so in the bounds set by the above plot? I've tried FindRoot by setting the lines equal to ...
86 views

### To find the point of Intersection of two line in Mathematica

How to find the intersection point of two lines exactly, the lines are generated using some data. The x-axis is on the logarithmic scale and the y-axis is on a linear scale. ...