Fibonacci Spiral - Golden Spiral Logarithmic spiral whose growth factor is φ, the golden ratio - gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.

matthen: “ Another interesting property of the logarithmic spiral is revealed if you roll it along a horizontal line. This animation shows the curves traced by points on the spiral, and note that the.

The logarithmic spiral of the chambered Nautilus shell. The shell gets buoyancy by creating a VACUUM in the chambers! It does this by pulling water out using the salinity of its blood.

The distances between the turnings of a logarithmic spiral increase in geometric progression, while in an Archimedean spiral these distances are constant.

The Golden Spiral: Complex Geometries in Nature - WebEcoist

For this design, I wanted to present something unique from the standard castle build, but certainly represent mathematics. I chose to create a Nautilus shell sand mold, which represents the Fabonacci and or logarithmic spiral. Once printed, the mold can be filled with sand, and turned over onto the ground, and create a cool spiral visual. Make several at the beach and make an artistic expression! I found a Nautilus shell image online, and traced the underside pattern, and sculpted the…