Tutorials

Getting Started: The Pisces Logo

Computing the zero set of the default Pisces model.

A Family of Circles

Computing the level sets of x^2 + y^2 = R^2.

Conic Sections

Compute level sets for a family of quadratic functions. As parameters vary, the corresponding level sets form all of the conic sections: circles, ellipses, parabolas, and hyperbolas.

The Unfolding of a Cusp

Compute level sets for a family of cubic functions and see how the topology of the level set changes as the parameters vary.

The Pitchfork Bifurcation

In the study of dynamical systems, an early bifurcation that is studied is called the "pitchfork bifurcation." Learn about this bifurcation, the associated dynamics, and how the bifurcation changes under small perturbations of underlying dynamical system.