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Symmetric Orthogonal Polynomials

On the Sierpinski Gasket, we construct three types of orthogonal polynomials: Antisymmetric, Symmetric, and Fully Orthonormal. See the Recurrence Relation Page for details of this construction. Here we display all the graphical results for the Symmetric Orthogonal Polynomial.

A short description of the types of results:

  • Graphs: Plots of the orthogonal polynomials on SG.
  • Recurrence Relation: Plots of the coefficients generated in the recurrence relation.
  • Edge Plots: Plots of the OP restricted to edges of SG.
  • Zero Plots: Given an OP, we color a point in SG according to the sign of the OP at that point.
  • Dynamics: Plots of the OP at a fixed point in SG for all degrees.

Below is a list of all results pages for the Symmetric Orthogonal Polynomials. You may also click on the navigation to the left.