# 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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### Parametrization of intersections

How may we find (at least one real) intersection parametrizations $x(t),y(t),z(t)$ between two implicit surfaces? p=9; ContourPlot3D[{x^2-y-(z-1)^2==1,(x+1)^2+2Sin[3y]-3z==4},{x,-p,p},{y,-p,p},{z,-p,...
82 views

### Speeding up RegionIntersection of multiple sets of rectangles

There is a set of disjoint rectangles shadow that change position over time. I want to find their intersection with another set of small rectangles ...
1 vote
62 views

### Weird slowdown on data returned by compiled function (bug?)

Mathematica 13.1 - I was cleaning up some computations and I got a x3 time increase when I reduced things to loop over. Full context is a bit convoluted, I stripped the most I could but the problem ...
1 vote
52 views

### Intersection of region with triangular lattice in 2D

Is there a function that finds all points that lie in specified region and also are part of triangular lattice defined by {Sqrt i, 3 (2 j + Mod[i, 2])} for ...
133 views

### GraphicsMeshFindIntersections not working in Mathematica 13.3

I just updated my Mathematica for Windows to 13.3 and when I tried to use the "Graphics MeshFindIntersections" command it doesn't seem to work. Have they replaced it with some other command ...
85 views

The following code draws the intersection of a surface N: eqNcar=0 with three other surfaces defined by eq1=0, ...
65 views

### Crossing out region on surface

Consider the following Wolfram Mathematica code ...
183 views

### Representation of the intersection between a sphere and a plane

Consider the plane $N: x+y+z-3 q=0$ where $q$ is fixed and the sphere $S: (x-q)^2+(y-q)^2+(z-q)^2=r$ where $r$ is fixed. I would like to make a 3D plot of $N$ and of $S\cap N$. Here is my command ...
1 vote
69 views

### faster way to find intersections?

I'm writing a g-code generator for a CNC hot wire foam cutter. I have a block of foam (blue cuboid), and two airfoils that define the root and tip of a wing (shown as black curves on the ends of the ...
41 views

### Finding the first and last intersection points from a lists of plots

I am trying to reproduce Figure 4 from this paper (page 7), for which I need to use the line $\tilde{T_p}$ from this figure: in the output of this figure: Now by varying the value of $\tilde{Q}$, I ...
167 views

### Intersection point of two lines given starting points and ending points of both lines

I'm creating a program which requires me to get intersection point of two lines. I have tried using different formulas but none of them works perfectly for me. Following is one example which I found ...
281 views

1 vote
154 views

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

I have the following function: ...
400 views

### 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 ...
86 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
60 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, ...
282 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 ...
190 views

### 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: ...
657 views

### Finding all intersection point between two time series

I've the following time series in smoothedData: ...
1 vote
77 views

### Determine if intersection of Polygon and HalfLine is non-empty

I have a concrete example: ...
97 views

### 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: ...
63 views

### 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 ...
1 vote
214 views

### 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 ...
113 views

### How to generate randomly points that belong to the given range?

Consider some rectangle called ExperimentLocation, and a circle ParticleAzimuthalCoverage: ...
1 vote
629 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....
100 views

### 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 ...
193 views

### 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 ...
274 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: ...
89 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 ...
1 vote
118 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 $\{0<x<1,0<y<1/2, z>y\}$ ...
1k views

### 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: ...
190 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 $x^2/a^2+y^2/b^2=1$, ...
230 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 ...