googgol = g(2, 50, g(1, 50, 3)) = g(2, 50, 150) = > g(2, 108, 10)
googgool = g(2, 50, g(2, 50, 3)) > g(2, 1192, 10)
geegeel = g(3, 50, g(3, 50, 2))
geeggeel = g(3, 50, g(3, 50, 3))
geiggeil = g(8, 50, g(8, 50, 3))
geiggeim = g(8, 1000, g(8, 1000, 3))
Jonathan Bowers came up with the names:
gaggol = g(3, 10000, 10)
gygol = g(3, 10000000, 10)
gagol = g(3, 1000000000, 10)
boogol = g(11, 100, 10) and
tritri = g(4, 3, 3) = g(5, 2, 3)
tridecal = g(11, 10, 10) = g(12, 2, 10)
tetratri = g(2, 1, 1, 4, 3, 3) = g(g(3, 3, 3), 3, 3) = g(g(2, 27, 3), 3, 3)
pentatri = g(3, 1, 1, 4, 3, 3) = g(g(g(3, 3, 3), 3, 3), 3, 3) = g(g(g(2, 27, 3), 3, 3), 3, 3)
grand tridecal = g(3, 1, 1, 11, 10, 10)
dimentri = g(g(2, 3, 3), 1, 1, 4, 3, 3)
dulatri = g(g(2, g(2, 2, 3), 3), 1, 1, 4, 3, 3)
trimentri = g(g(2, g(2, 3, 3), 3), 1, 1, 4, 3, 3)
decaltrix = g(g(11, 10, 10), 1, 1, 11, 10, 10)
googolplux = g(g(2, 100, 10), g(2, 100, 10), 1, 1, 2, 100, 10) = g(g(3, 2, g(2, 100, 10)), 1, 1, 2, 100, 10)
Which extrapolates, since c = g(2, 2, x) and m = g(2, 3, x) to:
googolpluc = g(g(g(2, 2, 3), 2, g(2, 100, 10)), 1, 1, 2, 100, 10)
googolplum = g(g(g(3, 3, 3), 2, g(2, 100, 10)), 1, 1, 2, 100, 10)
Beyond Cockburn’s mag- is naturally bag-, trag- quadrag-, and other formations from the -ag- infix:
baggoogol = g(2, 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
traggoogol = g(3, 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
quadraggoogol = g(4, 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
centaggoogol = g(100, 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
dentaggoogol = g(500, 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
mentaggoogol = g(1000, 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
bentaggoogol = g(g(1, 2, 1000), 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
trentaggoogol = g(g(1, 3, 1000), 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))
yottaggoogol = g(g(2, 24, 10), 1, 1, g(2, 50, 100), g(2, 50, 100), g(2, 50, 100), g(2, 50, 100))