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Here are some functions and groups of googolisms that I coined:

Groups

The Pies

Micropillion: 10^-(3•π+3)
Pillion: 10^3•π+3
Pienpi: π^π
Piendunpi: ^ππ
Pientrinpi: _ππ
Pienquadrinpi: π_π
Pibang: π!
Piquestione: π? (termial)
Pidubang, (π!)!
Piduquestione: (π?)?
Taubang: τ!
Tauquestione: τ? (termial)
Salada-pi-pah: (π! ^^^^ π! ^^ π!) ^^^^ π!
Tauillion: 10^3•τ+3
Piduoexpopi: π^π
Pitrioexpopi: π ^ π ^ π
Piquadrioexpopi: π ^ π ^ π ^ π
Gloomsy Pi: πvvπ (v means down arrow)
Pitriquestione: ((π?)?)?
Pitribang: ((π!)!)!
Pisald: π! ^^ π? ^^^ (π!)! ^^ π?
Pidusald: Pisald ^^^^^^ Pisald ^^ Pisalad
Pin of Pies: (((((π+1)x2)^ 3)^^ 4)^^^ 5
Pi!?: π!? (see list of googolisms)
Pi!?!?: (π!?)!?
Root of Pies: π-root(π)
Pindapi: (π!)?
ipadniP: (π?)!
Duogloomsy Pi: πvvvπ
No pie for you!: π^-π
Imaginary Pie: ((-π) ^ (-π)) ^ ((-π) ^ (-π))
Dreaming of Pies: π+i
Superpi: π^ π^^ π^^^ π (right to left)