The model displays two basic conic sections: hyperbolas and parabolas. The figures are generated behaviorally as opposed to algebraically. The turtles attempt to behave like points on the specified shape, using feedback to make decisions about how they behave. The partner to this model is called 'Conic Sections-circle&ellipse.' In the following demonstrations, notice how the turtles cast about in search of resting points. Each turtle continuously receives feedback on whether or not it is moving closer to a satisfactory location. If it is, it continues on its course, and if it is not, it changes direction randomly, eventually hittng upon a suitable path.
For detailed instructions on using the program, take a look at the info window from the Conic Hyperbolas+Parabolas model.
Click on one of the pictures to see a quicktime movie of the model: