# 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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### 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 ...
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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 ...
53 views

### GraphicsMeshFindIntersections get extra intersections

Why am I getting some extra intersection points? ...
883 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 ...
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### 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 ...
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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 ...
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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: ...
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### Intersection between shape and line

I have a shape with some lines. Both are graphics in Mathematica. ...
252 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 ...
44 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 ...
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### 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. ...
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### Circle-Line intersection

I'm trying to find a way to use Module when plotting a circle and line intersecting at two points on the circle ie: p1 to ...
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### MeshFunctions didn't behave as my expectation

Plot[{Tan[x], x Sin[x]}, {x, -8, 8}, MeshFunctions -> {Tan[#] - # Sin[#] &}, Mesh -> {{0.0}}, MeshStyle -> Directive[Red, PointSize[Large]]] Just ...
1k views

### How to compute intersections of circles on a lattice

Take a set of points in the plane and draw a circle of a given radius at each point. The resulting pattern of circles may look something like this: ...
121 views

### Determine intersection between a circle and list of data points

I have radius to draw circle using formulation below: rhom = 0.262707; circle = Table[{rhom*Cos[Theta*Degree], rhom*Sin[Theta*Degree]}, {Theta, 1, 360}] // N; I ...
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### Take data point from Circle

I would like to draw a circle within triangle. In this case, I make it from 3 points. then I followed program below: ...
283 views

### Intersection between knot and plane

I have to find, with Mathematica, the intersection between the curve defined by a knot and a plane defined by three points, in 3D space. I tried to find the intersection with ...