Goobol series

These are 'native extensions' of the number goobol by putting Saibian's suffixes.

*: not coined by me

Goobol with subtraction suffixes (speck [-10], crumb [-5], chunk [-1])

1. Goobolspeck = {10, 90 (1) 2} (Class 10: Polynomial omega level)

2. Goobolcrumb = {10, 95 (1) 2} (Class 10: Polynomial omega level)

3. Goobolchunk = {10, 99 (1) 2} (Class 10: Polynomial omega level)

4. Goobol = {10, 100 (1) 2} (Class 10: Polynomial omega level)*

Goobol with addition suffixes (bunch [+1], swarm [+10])

1. Goobolbunch = {10, 101 (1) 2} (Class 10: Polynomial omega level)

2. Goobolswarm = {10, 110 (1) 2} (Class 10: Polynomial omega level)

Goobol with multiplication suffixes (ding [x5], chime [x10], bell [x50], toll [x100], gong [x1,000], bong [x1,000,000], throng [x1,000,000,000], gandingan [x1,000,000,000,000])

1. Goobolding = {10, 500 (1) 2} (Class 10: Polynomial omega level)

2. Goobolchime = {10, 1000 (1) 2} (Class 10: Polynomial omega level)

3. Goobolbell = {10, 5000 (1) 2} (Class 10: Polynomial omega level)

4. Gooboltoll = {10, 10000 (1) 2} (Class 10: Polynomial omega level)

5. Goobolgong = {10, 100000 (1) 2} (Class 10: Polynomial omega level)

6. Goobolbong = {10, 100000000 (1) 2} (Class 10: Polynomial omega level)

7. Goobolthrong = {10, 100000000000 (1) 2} (Class 10: Polynomial omega level)

8. Goobolgandingan = {10, {10, 14} (1) 2} (Class 10: Polynomial omega level)

Goobol with stronger suffixes (plex, dex, threx, etc.)

1. Goobolplex = {10, goobol (1) 2} (Class 11: Exponentiated linear omega level)*

2. Goobolduplex = {10, goobolplex (1) 2} (Class 11: Exponentiated linear omega level)*

3. Gooboltriplex = {10, goobolduplex (1) 2} (Class 11: Exponentiated linear omega level)

4. Goobolquintiplex = {10, goobolquadriplex (1) 2} (Class 11: Exponentiated linear omega level)

5. Gooboldeciplex = {10, goobolnoniplex (1) 2} (Class 11: Exponentiated linear omega level)

6. Goobolvigintiplex = {10, goobolnovemdeciplex (1) 2} (Class 11: Exponentiated linear omega level)

7. Gooboltrigintiplex = {10, goobolnovemvigintiplex (1) 2} (Class 11: Exponentiated linear omega level)

8. Goobolquinquagintiplex = {10, goobolnovemquadragintiplex (1) 2} (Class 11: Exponentiated linear omega level)

9. Goobolcentiplex = {10, goobolnovemnonagintiplex (1) 2} (Class 11: Exponentiated linear omega level)

10. Goobolmilliplex = {10, goobolnovemnonagintinongentiplex (1) 2} (Class 11: Exponentiated linear omega level)

11. Goobolmegaplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,001 times) (Class 11: Exponentiated linear omega level)

12. Goobolgigaplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,000,001 times) (Class 11: Exponentiated linear omega level)

13. Goobolteraplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (1,000,000,000,001 times) (Class 11: Exponentiated linear omega level)

14. Goobolpetaplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10^15 + 1 times) (Class 11: Exponentiated linear omega level)

15. Goobolexaplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10^18 + 1 times) (Class 11: Exponentiated linear omega level)

16. Goobolzettaplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10^21 + 1 times) (Class 11: Exponentiated linear omega level)

17. Goobolyottaplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (10^24 + 1 times) (Class 11: Exponentiated linear omega level)

18. Gooboldex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol times) (Class 11: Exponentiated linear omega level)

19. Gooboldexiplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol + 1 times) (Class 11: Exponentiated linear omega level)

20. Gooboldexiduplex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobol + 2 times) (Class 11: Exponentiated linear omega level)

21. Goobolplexidex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolplex times) (Class 11: Exponentiated linear omega level)

22. Goobolduplexidex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolduplex times) (Class 11: Exponentiated linear omega level)

23. Gooboldudex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (gooboldex times) (Class 11: Exponentiated linear omega level)

24. Gooboltridex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (gooboldudex times) (Class 11: Exponentiated linear omega level)

25. Goobolquintidex = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (goobolquadridex times) (Class 11: Exponentiated linear omega level)

26. Goobolthrex (Class 11: Exponentiated linear omega level)
    =
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    ...
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, 100 (1) 2}
    (goobol layers)

27. Goobolthrexiplex (Class 11: Exponentiated linear omega level)
    =
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    ...
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, 100 (1) 2}
    (goobol + 1 layers)

28. Goobolplexithrex (Class 11: Exponentiated linear omega level)
    =
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    ...
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, 100 (1) 2}
    (goobolplex layers)

29. Gooboldexithrex (Class 11: Exponentiated linear omega level)
    =
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    ...
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, 100 (1) 2}
    (gooboldex layers)

30. Goobolduthrex (Class 11: Exponentiated linear omega level)
    =
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    ...
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, 100 (1) 2}
    (goobolthrex layers)

31. Gooboltrithrex (Class 11: Exponentiated linear omega level)
    =
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    ...
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2}
    {10, 100 (1) 2}
    (goobolduthrex layers)

N-ary goobol numbers

1. Binary-goobol = {2, 100 (1) 2} = 4 (Class 0)

2. Ternary-goobol = {4, 100 (1) 2} (Class 10: Polynomial omega level)

Fact: I messed up with the words 'ternary' and 'quarternary' because of my carelessness.

3. Octal-goobol = {8, 100 (1) 2} (Class 10: Polynomial omega level)

4. Hexadecimal-goobol = {16, 100 (1) 2} (Class 10: Polynomial omega level)

Computation for numbers from goobolthrex to gooboltrithrex

Let a1 = {10, 100 (1) 2} = goobol

Let a2 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a1 times) = gooboldex

Let a3 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a2 times) = gooboldudex

Continue, letting a(n + 1) = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a(n) times)

Goobolthrex = a(a1)

Let a1 = {10, 100 (1) 2} = goobol

Let a2 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a1 times) = gooboldex

Let a3 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a2 times) = gooboldudex

Continue, letting a(n + 1) = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a(n) times)

Goobolthrexiplex = a((a1) + 1)

Let a1 = {10, 100 (1) 2} = goobol

Let a2 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a1 times) = gooboldex

Let a3 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a2 times) = gooboldudex

Continue, letting a(n + 1) = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a(n) times)

Goobolplexithrex = a(goobolplex)

Let a1 = {10, 100 (1) 2} = goobol

Let a2 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a1 times) = gooboldex

Let a3 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a2 times) = gooboldudex

Continue, letting a(n + 1) = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a(n) times)

Gooboldexithrex = a(a2)

Let a1 = {10, 100 (1) 2} = goobol

Let a2 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a1 times) = gooboldex

Let a3 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a2 times) = gooboldudex

Continue, letting a(n + 1) = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a(n) times)

Goobolduthrex = a(a(a1))

Let a1 = {10, 100 (1) 2} = goobol

Let a2 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a1 times) = gooboldex

Let a3 = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a2 times) = gooboldudex

Continue, letting = {10, {10, {10, … {10, 100 (1) 2} (1) 2} (1) 2} … (1) 2} (a(n) times)

Gooboltrithrex = a(a(a(a1)))