These are some parity graphings of Collatz sets created in Jupyter Notebook Python along with the code that generates them. I have nothing to say about proving the conjecture :), I just think the graphs are interesting and beautiful.

Knit Cap with Charming Fringe Peeking out

Hummingbird

Featherduster

Skein of Yarn

Spun Cotton Candy

Reminiscent of the Andromeda Strain