Extending a Naming System

In one of my previous posts, I explained how my notation could be used to name numbers; but we can also extend this to already-in-place names.

For example, a googol is equal to 10^100 (or A100 in my letter notation) and a googolplex is equal to 10^10^100 (or AA100). Could we define a googolduplex as 10^10^10^100? Well, that’s what they did. And a googoltriplex? You guessed it - 10^10^10^10^100. A googolquadriplex? Yep.

Those are all really large numbers, but we don’t even need to understand the notation to see patterns. For example, I have a hard time with arrays past 3 entries, like the ones in BEAF, but we can still extend their names there.

(A brief explanation of BEAF can be found here)

A Tragol is equal to {10, 10, 10, 100, 7} with 3 tens and a Quadragol is {10, 10, 10, 10, 100, 7} with four tens. Could a Quintagol have five tens? (which would be {10, 10, 10, 10, 10, 100, 7})

Well, maybe, although there actually isn’t a page in the Googology wiki for that yet, so this could be your source, I guess.

A Troggol is equal to {10, 10, 10, 100, 6} with 3 tens and a Quadroggol is {10, 10, 10, 10, 100, 6} with four tens. Could a Quintoggol have five tens? (which would be {10, 10, 10, 10, 10, 100, 6})

Well, maybe, although there actually isn’t a page in the Googology wiki for that either.

Here are a few more examples:

Triggol = {10, 10, 10, 100, 2} and Triggolplex = {10, 10, 10, Triggol, 2}. If Treegol is {10, 10, 10, 100, 4}, a Treegolplex should be {10, 10, 10, Treegol, 4}.

If a Grand tethriterator = E100#^^#>#100#2 and a Triple-grand tethriterator = E100#^^#>#100#4, a double-grand tethriterator should be E100#^^#>#100#3. See, it’s not hard to detect patterns, even when the notation is unfamiliar.

And one more for you to solve:

If a million is 1000000 and a millionplex is 10^1000000, what is a millionduplex?

Anyways...

Hope you enjoyed this blog post! I’m MatthewNotebook, find me on Wikia, and hopefully we’ll meet again.