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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How to find the intersection of sets A and B?
Given the set A={x|-5<x^3<5} and the set B={-3,-1,0,2,3}, how to find the intersection of sets A and B?
I tried the ...
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How to draw the boundary line of intersecting region of a ContourPlot3D and a Graphics3D?
I have mathematical expressions of a cylinder (oriented along the x-axis) and a parabola. And I can easily plot both the surfaces using ContourPlot3D as shown below.
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Strategy to speed up two polygons (or region) intersection
Basically, I want to compare the overlap between two polygons (or regions).
First, I have a reference particle ring that can form a simple polygon, but this type of ring is very thin and long, and its ...
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Conic sections: intersection of a plane and a cone. How can I change the equation of the plane to get conic sections automatically?
I tried to draw intersection of a plane and a cone.
Hyperbola
...
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Plot a surface between three intersecting curves using 3D data sets
I would like to plot a surface between the intersecting points of three 3-dimensional curves. The curves are created using ListLinePlot3D, from the following lists:
List1:
...
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2
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162
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How can I determine coordinates of vertex of parabola as intersection of a plane and a cone?
I want to determine the point I as vertex of the parabola that is the intersection of the plane plane = InfinitePlane[{{0, myy, 0}, {0, myy, -1}, {1, myy, -3}}]; ...
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How can I draw the intersection of a cone and a plane?
I have a cone and a plane myQ = x - 4 y + z + 4 == 0;. How can I draw the intersection of the cone and the plane myQ?
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Trying to surround the area produced by intersecting surfaces with a boundary line
With MMA 12, I have a cone & sphere in 3D, that intersect. The area where they intersect I've managed to color (yellow), but I would like to surround that area with a more prominent line of a ...
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3
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Efficiently fill an ellipse with a k-many random ellipses
So, I can create a circle filled with circles of the same radius that gives this example picture:
with this code:
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- 114
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Finding intersection points graphically
"Code used in Mathematica version 13.3.1 on a Microsoft Windows (64-bit) (July 24, 2023) system"
I used @cvgmt's code to find the intersection points from a parametric plot graphically:
<...
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Finding intersection points from ParametricPlot
"Mathematica version 13.3.1 for Microsoft Windows (64-bit) (July 24, 2023)"
I have the following Mathematica code:
...
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190
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Finding intersection of two curves using mesh functions
I have the following code which finds intersection of two curves using mesh functions:
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1
answer
102
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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,...
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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 ...
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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 ...
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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[3] i, 3 (2 j + Mod[i, 2])} for ...
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Graphics`Mesh`FindIntersections 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 ...
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Understanding the MeshShading options
The following code draws the intersection of a surface N: eqNcar=0 with three other surfaces defined by eq1=0, ...
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3
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2
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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 ...
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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 ...
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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 ...
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Intersection points of two-variable polynomials
Let $h$ and $g$ designate two multivariable polynomials:
$$\!\!h(x,y)=-96\! \left(32 x^2\!+\!8 x (3\!-\!8 y)\!+\!40 y^2-28 y+5\right) \left(10 x^2+x (4 y-2)+\quad\quad\quad\\ \quad\quad+(1-2 y)^2\...
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Identifying lattice squares that are intersected by a closed curve
Given a lattice of unit squares I would like to find the number of squares that a curve (in the example below the curve is a circle) passes through and the number of squares that totally reside inside ...
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145
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How to generate a random point inside this region/discretize it?
Consider the following region:
...
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How to include sparse points in a ContourPlot if any?
I'm working with the following expressions:
$$\left(\frac{1-\tanh (X)}{\tanh (X)+1}\right)^{-k}=\pm\frac{P_2^{(k,-k)}(\tanh (X))}{P_2^{(-k,k)}(\tanh (X))}$$
where $X\in[0,5]$ and $k\in\left[-\sqrt{\...
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How to evaluate open intervals in ContourPlot?
I want to ContourPlot an expression over an interval that excludes some points. Since i dont know how to do it I wrote
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Show only countourplot lines inside regionplots, without displaying the regionplots [solved]
I have a countorplot (Fun1) which important curves are those inside one of the two regionplots I'm working on (funA1 or funB2).
The minimal example of what I want to do is the following:
...
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1
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RegionIntersection extremely slow before throwing error
I am dealing with polygons admitted by using other region functions (like RegionDifference), some of which have insidious problems.
Consider those below;
...
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Crash when repeatedly calling RegionIntersection (and/or Mesh functions)
My kernel (v13.1.0 Windows 64-bit) crashes when repeatedly (~9 times) calling Region functions like RegionIntersection upon ...
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2
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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 ...
2
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1
answer
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not being able to find the a good picture of the intersection of two surfaces
I'm having trouble finding a good picture around the origin of the intersection curve of the following surfaces
$z - \dfrac{x^2}{2} - \dfrac{x^3}{12 \sqrt3} + \dfrac{y^2}{2} + \dfrac{x y^2}{4 \sqrt 3}=...
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Identifying the intersection between a ConditionalExpression and a parametric curve
I'm trying to determine the intersection of lines over a surface (if they exist). My problem is that one of the lines is defined as a conditional expression and for the others I only have a parametric ...
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Calculate the "intersection" for the given case?
Consider the following task:
There are two cross-sections: the first one is located in the $yz$ plane (the case 1), and the second one is in the $xy$ plane (the case 2). In the spherical coordinate ...
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Intersection of a set of structurally homogeneous inequalities and extracting a combination of numbers to fully satisfy it
There are a number of structurally homogeneous inequalities:
$\begin{array}{l}
\left| s_1\right| \leq \sqrt{4 s_2} \\
\left| s_2\right| \leq \sqrt{4 s_4} \\
\left| s_3\right| \leq \sqrt{4 s_6} \\
\...
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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$
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3
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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:
...
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2
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Plot the intersection of a plane with the volume of a function
I have the following function:
...
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439
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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 ...
3
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1
answer
91
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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 = ...
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Finding the shared edged between two polygons
Imagine I have two convex polygons pol1 and pol2 with a shared edge. Take, as an example,
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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 ...
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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:
...
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Finding all intersection point between two time series
I've the following time series in smoothedData:
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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:
...
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0
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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 ...
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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 ...
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How to generate randomly points that belong to the given range?
Consider some rectangle called ExperimentLocation, and a circle ParticleAzimuthalCoverage:
...
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