User blog:Hurricane245/Icosa Ordinal Notation.

∸(x)=xth ѡ.

∸(0,1)=1st undefinable ordinal using ∸(x).

∸(x,1)=xth after 0,1.

∸(x,y)=yth undefineable with y-1.

∸(x,y,z)=xth after yth undefienable after zth undefineable with z-1,1 is undefineable with ∸(x,y).

And so on.

∸(10,10,100)=Googolplex Ordinal.

∸(10,10,10,10,10,10,10,10,10,10)=Decker Ordinal

∸(x_y) has y x´s in ordinal array.

∸(10_100)=Hyper Googol 

∸(10_∸(10,10,10))=Deathskull Ordinal

∸(10_∸(10_∸(10_∸(10_∸(10_∸(10_1000))))))=Omniordinal

∸^∸(1000000000)(10,10,10,10,10,10)=Mega Ordinale

A chain of 

∸(10_∸(10_∸(10_∸(10_∸(10_∸(10_1000)))))) but a googol long is Geige Ordinal

The smallest ordinal this can not define=Finned Ordinal