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1
vote
1answer
95 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 ...
5
votes
1answer
166 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 ...
7
votes
5answers
732 views

Find intersection of pairs of straight lines

I have a list of 24 points, in which 2 consecutive points (1st and 2nd, 3rd and 4th, ...) are supposed to form a line. ...
7
votes
2answers
229 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 ...
30
votes
0answers
303 views

Is this the most effective and efficient programming style for prototyping (a ray tracer) in Mathematica?

I am trying out Mathematica as a prototyping tool. As an initial exercise I have put together a brute force ray tracer, with a view to using Mathematica's built in probability distribution functions ...
1
vote
2answers
77 views

Finding the intersection of curves in a one-parameter family [closed]

I have a function f[c_] := y^2 - 2 x^2 (x + 3) == c ((y + 1)^2 (y + 9) - x^2) I need to find the points of intersection between the plots of f[0] and f[2]. How ...
-1
votes
1answer
69 views

Finding intersection and graphing

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. ...
1
vote
2answers
76 views

Controlling what is plotted in a multi-curve plot

My question is on trying to cut off certain plots within a Plot with multiple expressions being plotted. I want to be able to stop the two dashed-line plots at ...
1
vote
1answer
122 views

Computing intersections between a large number of sets: doing it sequentially vs. sending everything to Intersection[…]

Say we want to compute the largest common subset among a very large number of sets $Q_i$. One option would be to simply run the command: ...
-6
votes
1answer
109 views

Poincaré section for 3BP

I try to plot the Poincaré section for the 3BP i use the following code that works very well: ...
1
vote
2answers
134 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: ...
2
votes
1answer
74 views

Intersection does not take list of lists

The function Intersection takes a number of lists (sets) and finds their intersection. However, the precise input is ...
1
vote
1answer
178 views

Finding intersection of 3D lines

I want to find the intersection of 3D line. I want to detect the 3D light source position by intersecting 3D lines. ...
0
votes
0answers
140 views

Trace of intersecting planes

I have a set of curved planes that intersect each other. I only want all the parts of all planes displayed that are above the intersecting traces. Further, I would like to highlight the intersecting ...
18
votes
5answers
430 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 ...
1
vote
1answer
138 views

Complex surface: Finding the perimeter of the union of multiple disc intersections

Consider a system of $N$ circles($N>40$) Each of radius $5$ and the center of these circles along a circle at origin of radius $3$ [as given in code]. Code for above description :- ...