Questions tagged [intersection]

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

33 questions
Filter by
Sorted by
Tagged with
7k views

How to get intersection values from a parametric graph?

I have this graphed: ParametricPlot[{2.4*Cos[t] + 1.6*Cos[3 t/2], 2.4*Sin[t] - 1.6 Sin[3 t/2]}, {t, 0, 4*Pi}] It is a star, and the lines cross each other twice ...
4k views

Find intersection of pairs of straight lines

I have a list of 24 points, in which two consecutive points (1st and 2nd, 3rd and 4th, …) are supposed to form a line: ...
2k views

Implementation of Balaban's Line intersection algorithm in Mathematica

I'm trying to implement a Brillouin Zone algorithm within Mathematica, including the generation of Brillouin zones of higher order in 2D and 3D. There is a nice implementation of generating these ...
746 views

GraphicsMeshFindIntersections[ ] fails to detect intersections

GraphicsMeshFindIntersections[ ] is an undocumented function for, well, detecting intersections very efficiently. Take a look: ...
2k views

Finding length of intersection of two surfaces

I would like to know how we find the length of the intersection of two surfaces. For instance, in the following example,a surface intersects with a plane: How do we find the length of intersection ...
2k views

Difference (or intersection) of two convex polyhedra

I have two convex polyhedra stored in the following form: a set of vertices vertices = {{x1,y1,z1},...}, a set of faces, where each face is a convex polygon ...
3k views

Checking if a point is in a convex 3D polyhedron

Extending from these questions How to check if a 3D point is in a planar polygon? and How to check if a 2D point is in a polygon?. I'm trying to do this to render specific shapes made up of spheres. ...
1k views

How to split list into disjoint lists?

I wonder if there is any simple way to split a list into its disjoint sublists, e.g. from list={{a,b},{e,f},{b,c},{c,d},{f,g,h}} get a result ...
595 views

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 $z = -7t$. ...
1k views

Finding intersection points of two graphics [duplicate]

I am drawing a curve from a list using: ...
856 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 ...
1k 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 ...
571 views

Intersection of a MeshRegion and InfinitePlane

The documentation says that RegionIntersection is not implemented for MeshRegion objects embedded in 3D. But I have one such region and would like to slice it with ...
396 views

Finding self-intersections of a closed curve represented by an interpolation function

I've been trying to find particular simple closed curves on a plane. ...
552 views

Finding all sets of elements with two common elements in a large dataset

I have a very large network of atoms ($\approx 10^6$ atoms) with fixed positions that resemble a cellular structure: I have two files including: fixed locations of each atom set of points which ...
1k 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 ...
126 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, <...
161 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 ...
119 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. ...
683 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 ...
985 views

intersection between function and plane

I try to solve a ODE system of equations and i want to plot the intersection of the 3D solutions with a costant plane. To do this i use the follow code: ...
553 views

Finding equilibria to a system of 3 ODEs with 11 unknown parameters. Looking for the intersection of 3 surfaces

I have the following system of 3 ODEs of 3 variables $(\ell,M,h)$ and 11 parameters $(\sigma_{\ell},\mu_{\ell},d_{\ell},\sigma_M,\alpha_1,\beta,\alpha_2,\nu_M,\sigma_h,\nu_h,d_h)$: \$\frac{d\ell}{...
356 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 ...
323 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 ...
89 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: ...
366 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. ...
211 views

how to find intersection between a parametric trajectoy and a point

I'have a 2d-system of differential equations, analitycally solved, depending on a parameter. I know that, by continuity, there exist a minimum value of the parameter such that trajectory passes ...
193 views

Finding Intersections Between Arbitrary Surface and A Line

I have a self-intersecting surface H defined as follows: ...
216 views

Finding intersection and graphing [duplicate]

1) How do I find the intersection of f[c_] := y^2 - 2 x^2 (x + 3) == c ((y + 1)^2 (y + 9) - x^2) between the plots of f[0] and f[2] I tried plugging-in numbers. ...