Spiral Logic - Day 3

Spiral Logic - Day 3
Spiral Logic - Day 3 | Unspoken Riddles

A sequence that teaches numbers to lean on each other. One step born from the last two. It shows up in seed-heads and staircases of leaves, and once tried to count rabbits into infinity.

I’m not a spiral, yet I make them grow,
A tally of turns that petals seem to know.
Add what has been to what’s coming next,
Name the pattern hidden in the text.