Re: Eureqa - Finding the intersection where multiple 3D parametric equations meet

[Michael Schmidt]

Hmm... if you could calculate some of these intersections manually, then you could build a model of where they occur. You might build a dynamical model, that predicts the time until the next intersection, like:

t_next_intersection = f(x, y, z, t)

You'd just have to compute those variables ahead of time. 

Michael

On Sun, May 19, 2013 at 6:12 AM, Rick T <ratu...@gmail.com> wrote:

I have some 3D parametric equations that I plot in matlab/octave and would like to find out where they intersect.  Can I go about doing this in formulize? Please note this is just a simple example I plan on having multiple parametric equations that will intersect. Example matlab/octave code below: clear all, clf t = 0:pi/60:2.45*pi; plot3 ((t).*cos(t), (t).*sin(t), (t),'b*'); hold on plot3 ((t).*sin((t)), (t).*cos((t)), (t),'r'); Here's an image with the arrows pointing to the intersecting points

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[Dave Nunez]

What Michael suggested should work, calculating intersections is a active area of research in computer graphics and other fields, also known as collision detection. 

Cheers, -d

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When things get too complicated, it sometimes makes sense to stop and wonder: Have I asked the right question?
-Enrico Bombieri