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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6
votes
1answer
222 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
96 views

Intersection between shape and line

I have a shape with some lines. Both are graphics in Mathematica. ...
5
votes
4answers
230 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
39 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
80 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
74 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
94 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
30 views

Finding a coefficient that satisfies and intersecting condition

Suppose I have the following polynomial: ...
3
votes
2answers
109 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
172 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
170 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
2answers
107 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
51 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
111 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
57 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
74 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
82 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
123 views

Calculating list of areas between the curves in an intersection region

I have 2 tables; table 1: ...
0
votes
0answers
59 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
115 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
48 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
176 views

Finding Intersections Between Arbitrary Surface and A Line

I have a self-intersecting surface H defined as follows: ...
1
vote
1answer
154 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
100 views
4
votes
3answers
171 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
178 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
225 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
87 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
64 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
595 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 ...
0
votes
3answers
130 views

How to get accurate intersection point values?

...
3
votes
1answer
41 views

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 ...
14
votes
7answers
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: ...
2
votes
2answers
115 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 ...
1
vote
1answer
100 views

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: ...
2
votes
2answers
257 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 ...
1
vote
2answers
106 views
0
votes
1answer
60 views

Calculation of intersection points with a distribution curve

How can I find the two intersections (x1, x2) of a distribution curve and a line y = 0.05 * Max[distribution]? The MWE is: ...
0
votes
0answers
56 views

Intersections of an array of Lines [duplicate]

I have an array of Line objects and I would like to compute all intersections in the set of lines using RegionIntersection on ...
-1
votes
1answer
466 views

Equation of a Line of Intersection of Two planes [duplicate]

I have two planes $−11x+20y−23z+25=0$ and $−24x+5y+6z+14=0$. How do I go about finding the equation of the line of intersection? And once I get it, how do i plot both planes and the line?
6
votes
1answer
184 views

Plotting RegionIntersection

A new feature added in Mathematica 11.2 gives the ability to easily plot region intersection (see this post, scroll down to 3D Computational Geometry). However, I ...
6
votes
4answers
683 views

Select spheres intersecting with big sphere from list

The following code gives me a red sphere, whose surface intersects with a list of some smaller spheres: ...
0
votes
1answer
97 views

Showing intersections with Epilog

I am trying to show the intersections of two curves, using Epilog. But, Epilog doesn't show the points when I gather them in Table. Is there a way to show the points using a Table? ...
0
votes
1answer
101 views

How to find the intersection line from plotting data of 2 groups and How to solve it (e.g. remove or delete it) [closed]

I have 2 group of data points, herewith is group A ...
1
vote
3answers
260 views

Creating a MeshRegion object from a Graphics object

I am looking to convert a simple Graphics object that is defined by overlapping polygons into a MeshRegion object. For example, here is code that will create three overlapping triangles ...
1
vote
0answers
100 views

Intersection of two convex polyhedra with different set of faces

I want to solve the same question as the one in Difference (or intersection) of two convex polyhedra however my two convex polyhedra have two different set of faces f1 and f2, for example, not only ...
2
votes
1answer
357 views

Drawing the intersection point of two dynamic lines

I want to find the intersection point of two line segments determined by the position of four locators. ...
10
votes
1answer
146 views

Inserting cones at intersection points two curves

I am plotting the null geodesics for a Schwarzschild surface in Schwarzschild coordinates and would light to insert small future light-cones at the points of intersection to emphasize the tipping over ...