Based on the “actually fractal” design of the logo in the Psychedelic Fractals thread, I’ve created a new version of the F3 logo:
To make it stand out better, I changed the colour of the header background to #133939 or hsla(180, 50%, 15%, 1) (from #0073E7).
And here’s the small version of it: 
And of course the favicon: 
Finally, here’s the open graph version that should be displayed on Facebook:
