Fibonacci Spiral

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…

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.

Triple Fibonacci spirals

Geometric Models on Instagram: “Fibonacci numbers appear in nature often enough to prove that they reflect some naturally occurring patterns. You can commonly spot these…”

The systems view of life, not surprisingly, includes a new systemic understanding of evolution. Rather than seeing evolution as the result of only random mutations and natural selection, we are beginning to recognize the creative unfolding of life in forms of ever-increasing diversity and complexity as an inherent characteristic of all living systems. Although mutation and natural selection are still acknowledged as important aspects of biological evolution, the central focus is on…

Explores possibilities of a spiral mapping of the set of I Ching hexagrams as exemplifying adaptive resilience from a Chinese perspective.

Lady Gaga is a consummate performer and a smart composer. She’s a Julliard-trained pianist, after all. Gaga has pulled a neat compositional trick out of the bag for the video below, the title…

Unlock the beauty of numbers with the Fibonacci series! 🌿✨ Starting with 0 and 1, each number is the sum of the two preceding ones, creating a sequence found everywhere in nature. From the petals of flowers to the spirals of shells, the Fibonacci series and the golden ratio reveal the hidden harmony in the world around us. 🌻🐚 Discover the magic of mathematics and its role in our everyday lives! . . . . . . #Fibonacci #GoldenRatio #MathInNature #NaturePatterns #Mathematics #BeautyInNumbers…

In the midst of our daily binge of emailing, Tweeting, Facebooking, app downloading and photoshopping it's almost hard to imagine how anything was done without the help of a computer. For Venezuelan artist Rafael Araujo, it's a time he relishes. At a technology-free drafting table he deftly renders