The Sierpinski Carpet
SPUR 2016
Fractals Group

Harmonic Functions

In the PDFs below are pictures of harmonic functions whose level-4 boundary values are specified (value 1 on one of the boundary cells, value 0 elsewhere). The scatter plots show the value of the harmonic function against the distance to the cell with value 1.
Identification Type Pictures Scatter Plots against Distance
Torus PDF PDF
Projective Plane PDF PDF
Klein Bottle (Horizontal) PDF PDF