# Questions tagged [intersection]

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

196 questions
Filter by
Sorted by
Tagged with
129 views

### 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 ...
• 4,852
144 views

...
• 1,232
145 views

### 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. ...
• 187
125 views

### 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 ...
• 71
158 views

### 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 ...
• 4,317
90 views

### 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: ...
162 views

### 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}}]; ...
• 4,317
1 vote
106 views

### 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? ...
• 1,680
88 views

### 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 ...
• 734
504 views

### 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: ...
• 114
162 views

### 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: <...
• 2,553
1 vote
95 views

### Finding intersection points from ParametricPlot

"Mathematica version 13.3.1 for Microsoft Windows (64-bit) (July 24, 2023)" I have the following Mathematica code: ...
• 2,553
190 views

### Finding intersection of two curves using mesh functions

I have the following code which finds intersection of two curves using mesh functions: ...
• 2,553
102 views

### 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,...
• 3,224
86 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
63 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
62 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[3] i, 3 (2 j + Mod[i, 2])} for ...
• 21.3k
240 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 ...
• 2,553
113 views

The following code draws the intersection of a surface N: eqNcar=0 with three other surfaces defined by eq1=0, ...
• 592
75 views

### Crossing out region on surface

Consider the following Wolfram Mathematica code ...
• 592
208 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 ...
• 592
1 vote
77 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 ...
178 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 ...
310 views

1 vote
191 views

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

I have the following function: ...
• 291
439 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 ...
91 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
78 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, ...
• 4,933
318 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
196 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: ...
• 421
793 views

### Finding all intersection point between two time series

I've the following time series in smoothedData: ...
• 960
1 vote
88 views

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

I have a concrete example: ...
• 2,499
101 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: ...
• 1,589
67 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 ...
• 5,919
1 vote
253 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 ...
• 383