Where does “Polypodiophytina” come from?

Polypodiophytina (Translingual) comes from Translingual Polypodium, from Latin polypodium, from Latin polypodion, from Ancient Greek πολυπόδιον, from Ancient Greek πολύπους, from Ancient Greek πολῠ-, from Ancient Greek πολύς, from Ancient Greek πόρος.

Polypodiophytina (Translingual): subphylum, other ferns, and horsetails}}

Definitions

subphylum, other ferns, and horsetails}}

Ancestry of “Polypodiophytina”, step by step

Step	Language	Word	Meaning
1	Translingual	Polypodium	genus
2	Latin	polypodium	a polypody; the polypodia collectively
3	Latin	polypodion	—
4	Ancient Greek	πολυπόδιον	common polypody
5	Ancient Greek	πολύπους	many-footed
6	Ancient Greek	πολῠ-	many; much, a lot
7	Ancient Greek	πολύς	many, a lot of; neuter πολύ or πολλά as...
8	Ancient Greek	πόρος	a means of passage, passageway, way, opening;...
9	Ancient Greek	πείρω	I pierce, run through; I cleave through
10	Proto-Hellenic	*péryō	—

Every word from Proto-Hellenic *péryō →Every word from Ancient Greek πείρω →Every word from Ancient Greek πόρος →