This picture shows a Sierpinski carpet in `harmonic
If h_1(x) is the harmonic
function in the pictures above, and h_2 is its rotation by 90 degrees, this is the image of the SC
under the map which sends x to (h_1(x),h_2(x)).
The next two pictures show the heat kernel (or transition density of a random walk) on some Sierpinski carpets.
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