User blog comment:Primussupremus/hyper notation./@comment-31663462-20170415152100

http://googology.wikia.com/wiki/Suporcal

http://googology.wikia.com/wiki/Megocal

http://googology.wikia.com/wiki/Hypercal

http://googology.wikia.com/wiki/Gorgcal

etc. This is nothing new. The amount of times you try to iterate will only get you to about $$f_{\omega+k}(10)$$ for finite $$k$$.