Goobous - {10,10[4 [4] 4]10}
Gibbous - {10,10[5 [5] 5] 10}
Gabbous - {10,10[6 [6] 6]10}
Geebous - {10,10[7 [7] 7]10}
Gibous - {10,10[8 [8] 8]10}
Gobbous - {10,10[9 [9] 9]10}
Gabous - {10,10[10 [10] 10]10}
Boobous - {10,10[4 [4] [4] 4]10}
Trious - {3,3,3[3,3,3][3,3,3][3,3,3]3,3,3}
Tetious - {3,3,3[4,4,4][4,4,4][4,4,4][4,4,4]3,3,3}
Petious - {3,3,3[5,5,5][5,5,5][5,5,5][5,5,5][5,5,5]3,3,3}
Triterous - {3,3,3[1 [2] 1]3,3,3}
Teterious - {3,3,3[1 [2] 1][1 [2] 1]3,3,3}
Bitrious = {3,3,3[1 [2 [2] 2] 1][1 [2] 1]3,3,3}
Titrious = {4,4,4[1 [2 [2] 2] 1][1 [2] 1]4,4,4}
Milliolex = 10{10^6}10
Milliodrex = 10{10{10^6}10}10
Billialogue = 10{10^9}10
The number above is an attempt to name the joycian gagol.
Goojol = 10{10^100}10
Goojolune = 10^10{10^100}10
Goojolplex = 10{10{10^100}10}10