Mirroring the Fibonacci number sequence (made famous in The Da Vinci Code), their optical rotatum propagates in a logarithmic spiral that is seen in the shell of a nautilus, the seeds of a ...

Logarithmic and Archimedean spirals have very different properties. The logarithmic spiral (above left) maintains a constant angle, the camming angle, between its tangent and its radial line.

Two logarithmic spirals, each with a diameter of 260 μm, featuring a central etch pit in the shape of an inverted pyramid.

Many of these shells have spectacularly complex shapes—logarithmic spirals bedecked with fractal spines or other ornaments, all executed with near-perfect mathematical regularity. Yet mollusks ...

I AM much obliged to Mr. Wright for his correction (NATURE, July 8, p. 40). I had made a search in English and Continental books on curves and concluded that this spiral had been overlooked as a ...

A logarithmic spiral with a diameter of 500 μm, approximately half the diameter of a sewing needle. view more . Credit: Yilin Wong. Key takeaways.

The optical rotatum's logarithmic spiral follows a pattern often found in nature, including nautilus shells. (Image Credit: Capasso Lab / Harvard SEAS) Patterns exist all around the world, creating ...

image: The optical rotatum's logarithmic spiral follows a pattern found often in nature, including nautilus shells. view more . Credit: Capasso Lab / Harvard SEAS ...