# Logarithmic spiral

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## Fibonacci spiral

## Fractals

## Spirals

## Golden ratio

## Sacred geometry

## Math art

## Fractal design

## Nautilus

## Sacred geometry art

## Sacred geometry symbols

## Geometry art

## Fibonacci sequence examples

## Fibonacci sequence in nature

## Fractals in nature

## Fractal geometry

## Spirals in nature

## Nature pattern

## Geometric mandala

## Patterns in nature

## Composition

Created as part of Rafael Araujo's Calculations series, Nautilus brings the logarithmic spirals of the famous cephalopod swirling to life in a precise field of three-dimensional space. #colossal

Logarithmic Spiral Spira mirabilis. A golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. Wikipedia

Logarithmic spiral--my snail tattoo "the size of the spiral increases but its shape is unaltered with each successive curve, a property known as self-similarity"

Logarithmic spiral: "A logarithmic spiral, equiangular spiral or growth spiral is a special kind of spiral curve which often appears in nature." // Seen in: nautilus shell, Romanesco broccoli, weather patterns, space (spiral galaxies)

a LOGARITHMIC SPIRAL graph a nautilus pattern - Google Search

### 1.618

How Fibonacci numbers relate to a spiral.

The Fibonacci spiral is considered a logarithmic spiral, which are found everywhere in nature. Jakob Bernouli, a mathematician from a great family of brilliant people, called the logarithmic spiral spira mirabilis, or "the Miraculous Spiral," so called because the size increases but its shape is unaltered with each successive curve. This kind of spiral shows up in shells, in hurricanes, in flowers and even in the human body!

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Rafael Araujo – The Colossal Shop.. At a technology-free drafting table he deftly renders the motion and subtle mathematical brilliance of nature with a pencil, ruler and protractor." Araujo creates an imagined mathematical framework of three dimensional space where butterflies take flight and the logarithmic spirals of shells swirl into existence.."