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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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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 ...
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1answer
79 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, <...
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0answers
41 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 $ ...
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1answer
42 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 ...
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1answer
89 views

Finding Intersections Between Arbitrary Surface and A Line

I have a self-intersecting surface H defined as follows: ...
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1answer
96 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 ...
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3answers
151 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 ...
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0answers
46 views

Find/Plot intersection between interval/region and equations system

I am trying to solve the motion equation system. S1=S0+V0*t1+a1*t1^2/2 S2=S1+V1*t2+a2*t2^2/2 V1=V0+a1*t1 V2=V1+a2*t2 Mostly all parameters are input: ...
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3answers
134 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 ...
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2answers
137 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, ...
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3answers
80 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: ...
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1answer
57 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 ...
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3answers
357 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 ...
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3answers
114 views
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1answer
38 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 ...
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7answers
986 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: ...
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2answers
94 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 ...
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1answer
90 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: ...
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2answers
203 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 ...
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1answer
52 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: ...
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0answers
55 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 ...
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1answer
299 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
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1answer
146 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 ...
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4answers
648 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: ...
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1answer
74 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? ...
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1answer
90 views
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3answers
203 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 ...
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0answers
91 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 ...
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1answer
307 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. ...
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1answer
126 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 ...
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0answers
79 views

I want to plot an intersection point from 2 street names on a map

Say, I want to plot the point of 5th ave & E 79th ave in NYC on a map, how should I do it with mathematica? Also, say I have a street, say 5th ave in NYC, can I ask to give me all the ...
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1answer
206 views

Finding intersection of two ellipses

I am trying to find the intersection points of two ellipses, given in a parametric form: ...
5
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3answers
698 views

Finding intersection points of two surfaces (lists)

I would like to find the intersection points of two surfaces which are constructed with ListPlot3D. The first list is ...
5
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3answers
300 views

Draw line and point into a BodePlot

From the BodePlot function, I would like to plot the vertical line at horizontal axis equal to 10 as in the magnitude plot below and indicate the coordinate of the intersection point. Could anyone ...
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2answers
77 views

find the equation of the intersection of 2 variable function with the special plane

I have below two variable function: (-1/(d-1))+(2d +(d-1) Abs[d-p(d+1)] +(d-1) Abs[d-p(d-1)])/((2d-2)Abs[d +p(d-1)]) And I want to find the equation of the ...
3
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4answers
326 views

Find convenient numeric solution to intersection contour?

Consider the following contour of intersections between two analytic expressions: ContourPlot[ Sinh[x^2] (x^2 + Cosh[y^2] y^2) == y^2, {x, -1, 1}, {y, -2, 2}] ...
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2answers
335 views

How to get exact point of intersection of a plot with axis?

I have a parametric plot y(t) vs. x(t). I want to know exactly at what value of x, this y vs x curve crosses the x-axis? I tried with "Get coordinates" of Drawing tools but this is not so accurate. ...
3
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1answer
104 views

Maximising area of intersection of regions

I'm interested in maximising the area of intersection between two or more geometric regions (for now, in 2D). For instance, I can calculate the offset between the centres of two annuli with given ...
3
votes
1answer
75 views

Differents results of the intersection area between two regions when using the function “Area” and the function “NIntegrate”

I'm having the fallowing problem: I'm obtaining different results of the intersection area between two regions when I use the function "Area" and the function "NIntegrate". The results are just ...
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2answers
415 views

How can I find least squares intersection of 3D rays?

I'm using version 11 for whatever that's worth. I'm doing an optical simulation with thousands of converging rays (HalfLines), since this is in 3D for the most part ...
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3answers
773 views

Locate intersection points in a contour plot

I have the following output from ContourPlot, and I would like to be able to find what the intersection points of the two curves are, without using any other ...
4
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5answers
842 views

Intersection coordinates of two spheres

I am trying to obtain a list of coordinates at which two spheres intersect. Take for example the spheres: sp1=Sphere[{0, 0, 0}, 1] and ...
3
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1answer
279 views

Projecting a Graphics3D object onto a plane

I would like to project a 3-dimensional cone onto a plane and mark the intersection (which is an ellipse) with a line. I find cone2 by performing a transformation ...
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2answers
185 views

Intersection of TimeSeries (reducing a list of TemporalData objects to common dates)

It is possible to do simple math between TemporalSeries objects. For example ...
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1answer
556 views

Finding area of intersection regions

I want to be able to find the area of the intersection between a hexagon and a slice. I have tried RegionMeasure or Area but I ...
2
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2answers
770 views

Draw a circle through 4 points on parabola [closed]

I have two dynamic perpendicular parabolas: $y=ax^2+c, x=by^2+d$, which intersect in four points (the coefficients are chosen that way). There is a fact that we can construct a circle through these ...
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5answers
3k views

Equation for the line of intersection between two planes

I have two equations: {2 x + y + z == 1, 3 x - 2 y - z == 5} And I have calculated the answers on paper, which gave me $x = 1 + t$, $y = -1 + 5t$ and $z = -7t$. ...