## Nautilus shell detail

### The logarithmic spiral of the chambered Nautilus shell.

Majestic Vision

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The logarithmic spiral of the chambered Nautilus shell.

Majestic Vision

Recently, I have written a couple of posts on mathematics found in nature and I just wanted to continue with this topic. For today I decided to write more about some interesting spirals that can be…

Mariano Nahuel Rodriguez Mastronardi

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two quantities are considered to be in the golden ratio if (a+ b)/a = a/b which is represented by the Greek letter phi. Each rectangle shown is subdivided into smaller golden rectangles. The golden spiral is a special type of logarithmic spiral. Each part is similar to smaller and larger parts.

Pierre Parnis

Generative Design, rather like fractals is a process where the output is generated by a predetermined set of rules, codes, algorithms, or patterns. Generative Design has been inspired by natural de…

Laura Merritt

Fibonacci spiral with illuminated mount (private collection) Mineral colours, gold and silver on paper and archival mount board. Dimensions: 49 cm X 38 cm.

Choliii

Panther chameleon's tail.

Valerie Thompson

Illustration showing succession of golden rectangles that are used to construct the golden spiral. Two quantities are considered to be in the golden ratio if (a+ b)/a = a/b which is represented by the Greek letter phi. Each rectangle shown is subdivided into smaller golden rectangles. The golden spiral is a special type of logarithmic spiral. Each part is similar to smaller and larger parts.

Leo F. Tatuinque

Golden Ratio. Logarithmic Spiral. Sacred Geometry. Implied Line. Golden Mean. Fabonacci Spiral. Line.

Laura Penner

Phi, or 1.618, is known as the golden ratio, and can be found throughout artistic composition and nature. It can be represented in the formula (a+b)/a = a/b = phi.This formula applies to the golden…

Coreen Cowper

You've seen logarithmic spirals, but here's the Spiral Logarithm! It has its radial distance to the origin equal to the (offset) logarithm of its arc-length: r = log(s+1). Pictured log base 2. I came up with this the other day, but didn't find it being constructed elsewhere.

Jamie