Hilbert Ouroboros 1-5 

5-layer Hyperbolic Hilbert Ouroboros Curve Study
Within the same Square parameter are the Order 1 to Order 5 Hilbert Curves mapped onto a hollow sphere, rotated around, and elongated. These curves are mapped so that the beginning and end of the curves match up perfectly without the need for extra lines, truly closing the singular Hilbert curves into a loop. here we see a branch fractal emerge in the Hilbert curves that looks very similar to the growth of Flavoparmelia Baltimorensis lichen... I find it fascinating that the curve from the bottom shows an even number of branches, and from the top, it shows an odd number of branches.
If you haven't read my article on Hilbert curves yet... check it out!
I plan on adding more to this article as my study progresses. I have been finding some really cool stuff lately about Hilbert curves that I'm super excited to share!
www.ivyoptic.c...
Music by Samadhi Squash
Song - Fractal Mud Slop
/ fractal-mud-slop