Well, no, not exactly. More three-way, in layers. It looks like a kaleidoscopic image. Look at those delicate notches near the large petal tips. And the black and orange rounded inner tips. And the little orange dots. And then more white petals at the center. The black and orange parts remind me of butterfly wings.
I think this is some sort of lily, on a long stem. It is about two inches wide. Elegant!