The showy parts of the plant consist of tepals (the petal-like structures) and a corona (the trumpet-shaped form that defines a daffodil). Growing from the center of the flower are the stamen with pollen-laden anthers and the style, leading down to the ovary.
If you decide to dissect your own daffodils, wash your hands afterward. The plants contain a mildly toxic substance – mostly to fend off herbivores like deer or insects. And if you just want to admire cut daffodils on your coffee table, keep them in their own vase. That toxin can harm other flowers too.
That daffodil is no pansy!