North Korean Garden Notation

I made up an extremely hilarious notation using the name based off the history of North Korea. The North Korean Garden Notation's function name is expressed as "JUN()", "JEON()", or "CHON()", all are named after a monetary unit of Korea, equal to one hundredth of a won. It can also be notated using the circle instead of "JUN", "JEON", or "CHON". The circle-based expression of this notation should not to be confused with the circle notation in Steinhaus-Moser notation.

Definition

1. JUN(0) = 1

2. JUN(1) = 1+1 = 2

3. JUN(2) = JUN(1)*JUN(1) = 2*2 = 4

4. JUN(3) = JUN(2)^JUN(2) = 4^4 = 256

5. JUN(x) = JUN(x-1)[x]JUN(x-1), where [x] stands for the nth hyperoperator starting from addition, where [0] stands for a successor function, [1] stands for addition, [2] stands for multiplication, [3] stands for exponentiation, etc. Using Bowers' extended operators, it is equal to JUN(x) = JUN(x-1){x-2}JUN(x-1).

The North Korean Garden Number is equal to JUN(10^10^100) = JUN(googolplex). It is also equal to Douglas Shamlin Jr.'s generalized "googolplexisuplex" (E100##(E100#2) = E100##(EE100)). I will also add "googolplexisuplex" on my ExE ultimate googolism generator website for later.