In “better images from higher harmonics ?” I have replaced the basic sine and cosine functions by Fourier series approaching a symmetric triangular wave. This gave images with more details and somewhat smaller bulls-eyes. Here I want to show similar results for an image with 5-fold rotational symmetry using a different input image.
With only the basic sine and cosine waves I get:
The center of perfect 5-fold rotational symmetry lies slightly at the right of the center of the image. Note the concentric shapes inside a pentagon and the large orange bulls-eyes.
Adding the third harmonic I get more details:
At the center we now have star like shapes instead of the pentagon and the circle.
Using the basic wave together with the third and the fifth harmonics gives smaller changes:
Finally, the triangle wave makes:
Now, straight line segments appear. The image has a more crystalline appearance. The rather large orange blobs remain, but they have now a more interesting polygon shape.
I like that I can tune the images changing the wave function, but I am disappointed that the large blobs do not disappear.