Jos Leys' generated some similar looking images, as briefly mentioned in the article [0]. He uses a different mathematical approach, Doyle spirals [1,2]. Malin Christersson added a Möbius transformation creating even more curious animations [3].

[0] http://www.josleys.com/show_gallery.php?galid=265

[1] http://www.josleys.com/articles/HexCirclePackings.pdf

[2] https://mathematica.stackexchange.com/questions/146377/gener...

[3] http://www.malinc.se/m/MobiusDoyle.php