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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3
votes
1answer
107 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 $x^2/a^2+y^2/b^2=1$, ...
2
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1answer
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 ...
2
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3answers
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: ...
1
vote
0answers
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 ...
4
votes
1answer
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 ...
3
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0answers
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 ...
0
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1answer
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: ...
4
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2answers
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 : ...
3
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2answers
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 ...
2
votes
1answer
68 views

Change color of overlapping convex hull

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2
votes
1answer
60 views

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 ...
1
vote
2answers
45 views

Selecting Shared Edges from a Mesh

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

Graphics`Mesh`FindIntersections get extra intersections

Why am I getting some extra intersection points? ...
14
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3answers
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 ...
1
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1answer
57 views
3
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1answer
111 views

How to display an intersection of two geo regions?

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3
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1answer
85 views

Is there a way to Plot intersection point in Manipulate?

I've tried to plot this . But It seemed useless in MeshFunctions ...
0
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1answer
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 ...
6
votes
1answer
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: ...
5
votes
1answer
121 views

Intersection between shape and line

I have a shape with some lines. Both are graphics in Mathematica. ...
4
votes
4answers
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 ...
0
votes
1answer
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 ...
2
votes
2answers
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. ...
0
votes
1answer
112 views

Find the points closest to and farthest from the origin for a region in $\mathbb{R}^6$

Given $A$ being the intersection set between $x + y + z + u + v + w = 1$ and $x^2 + y^2 + z^2 + u^2 + v^2 = 1$, find the closest and farthest points to the origin that belong to $A$ in the space $\...
2
votes
3answers
103 views

Intersection of two functions

Could you please try to find the intersections points of this two functions: $ y = x $ and $y=(a+x) \ {\rm e}^ {-2(a+x)} $ with $x\geq0$ Thanks for your help
0
votes
1answer
33 views

Finding a coefficient that satisfies and intersecting condition

Suppose I have the following polynomial: ...
3
votes
2answers
143 views

Intersection of a plane with surface of ListSurfacePlot3D

If I have a list of points in 3D space that are only roughly located on a surface, this surface can be visualized with ListSurfacePlot3D. How can I find the ...
3
votes
2answers
184 views

Bug or undocumented behaviour in Intersection

I have two lists consisting of element pairs: a1 = Table[{i, i^2}, {i, 10}] // N; a2 = Table[{2 i, Sqrt[i]}, {i, 5}] // N; I want to pull out from both lists ...
9
votes
3answers
1k views

How can I solve for the intersection points of two ellipses?

I need to find the points at which the two ellipses implicitly defined by $\qquad y^2=4-4\,x^2 \quad[E1]$ and $\qquad (1-(x/2))^2+(y-1)^2=1 \quad[E2]$ intersect. So I isolated $y$ in E2 and ...
6
votes
2answers
230 views

How to plot a crossection of a ParametricPlot3D?

I'm plotting a surface using ParametricPlot3D. Ideally I would like to plot an intersection of the surface with a plane just as seen in another question (Cross Sections or slices of 3d figures - ...
7
votes
3answers
151 views

Discretisation of region intersection in 3D

If I try to discretise the intersection (BoundaryDiscretizeRegion), of a shell in a cuboid, some of the regions (that are found with RegionIntersection) are lost in the discretising process. I tried ...
2
votes
1answer
62 views

Finding intersections of circles with some parameter

I have a set of 5 points which depend on a parameter r, with 0 < r < 1, defining 3 circles and I want to show that the intersection points of the 2 circles lies inside the 3rd one. My points ...
5
votes
2answers
141 views

Plot and find intersection points of multiple curves

I tried to plot and find the coordinates of the intersectrions of more than two curves in a the plot. Is there a special way to do this? Here's my code so yu can visualize the whole thing. ...
1
vote
2answers
83 views

Finding positive region of continous function

I want to find (and plot) the positive region (within a certain domain say x<3,y<3) of a function ...
0
votes
1answer
80 views

How can I find the intersection of two sets and how can I sample elements from this intersection?

I've solved a non-linear system of equations and the numerical solution I obtained was the following: ...
0
votes
2answers
106 views

Intersection between an exponential function and a polynomial function

I am trying to see if the two graphs intersect each other or not. If they intersect, I want to know the points too. One is an exponential function in and the other is a polynomial function in two ...
4
votes
1answer
128 views

Calculating list of areas between the curves in an intersection region

I have 2 tables; table 1: ...
0
votes
0answers
75 views

Integral of intersection of a spiral and a circle

I need to prove that for a full turn of a logarithmic spiral (independent from the constant tangent of it) and a straight line on the z axis, the logarithmic spiral always covers more space-time in ...
3
votes
1answer
154 views

How to find the cells of a region that intersect a line?

I'm looking for the fastest way to access the mesh cell (i.e. polygon) in a Region that intersects a Line in 3D. For example, <...
1
vote
0answers
50 views

Making a function $ f(n) $ tangential to another function $ g(n) $ by choosing appropriate constants

I have two functions $ f(n) = 1/(1+n) + b, (n \geq 0,b \geq 0) $ and $ g(n) = pn^2 + qn + r $. Assuming that I know the value of $ p, q $, and $ r $, I am trying to find a value for the constant $ b $ ...
1
vote
1answer
54 views

The intersection of two “mesh surfaces from points” which are not convex

After solving the problems with determining the intersection of two mesh surfaces I came across an additional obstacle. Link to the previous question enter link description here Unfortunately, I ...
2
votes
1answer
225 views

Finding Intersections Between Arbitrary Surface and A Line

I have a self-intersecting surface H defined as follows: ...
1
vote
1answer
186 views

The intersection of two “mesh surfaces from points”

I am a fresh user of mathematica, soo thank you in advance for your help. I would like to get a list of points (x,y,z) at any interval (eg every 0.05 by x and y coordinate) which are created by ...
1
vote
2answers
142 views
4
votes
3answers
194 views

Level sets of a parametric plot (3D)

I am having difficulty getting the level sets of a 3D parametric plot. I have a parametrized 3D surface that I suspect is self-intersecting and one way to see this visually is by plotting the level ...
2
votes
3answers
212 views

Find the solid and it´s volume formed by the intersection of two surfaces

I am trying to plot the solid formed by the intersection of the surface between p1 = Plot3D[1 + x^2 - y^2, {x, -1.2, 1.2}, {y, -1.2, 1.2}] and ...
0
votes
2answers
288 views

Projection on the xy–plane of the curve of intersection of both surfaces [duplicate]

I am trying to make a projection on the xy-plane of the intersection of the surfaces from the functions: 1 + x^2 - y^2, ...
2
votes
3answers
93 views

How to get accurate intersection point value of Parametric equation?

I have parametric equation and normal equation,I don't know how to get accurate intersection point value of them. I can only use a imprecise method as below: ...
1
vote
1answer
67 views

How to solve trascendental equation with a singularity [closed]

I have to solve a trascendental equation that behaves as -csch(ax) == x-3 which grafically looks like As you can see, when $a$ gets bigger the csch gets closer ...
2
votes
3answers
766 views

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 ...