Use the word gyre when you describe the spiral shape that petals make in the face of a flower.
You can use the noun gyre in a variety of ways, but it always means a kind of circle, especially one that coils or spirals. You'll see a gyre when you look straight at certain blossoms — the rings of petals in a rose, for example, form a gyre. Some plants have gyres of leaves making concentric circles. In late Middle English, to gyre was to "spin something around in circles," from the Greek root word gyros, "circle or ring."
Definitions of gyre
a round shape formed by a series of concentric circles (as formed by leaves or flower petals)