# Structure

Structure

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## Introduction1

Why do honeybees love hexagons? (Zack Patterson and Andy Peterson, TED-Ed)

### Dictionary

structure : something arranged in a definite pattern of organization — Webster

Principia Cybernetica

### Encyclopedia

Structure is an arrangement and organization of interrelated elements in a material object or system, or the object or system so organized. Material structures include man-made objects such as buildings and machines and natural objects such as biological organisms, minerals and chemicals. Abstract structures include data structures in computer science and musical form. Types of structure include a hierarchy (a cascade of one-to-many relationships), a network featuring many-to-many links, or a lattice featuring connections between components that are neighbors in space. — Wikipedia

Encyclopædia Britannica

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## Foundation

### Theory

Patterns in nature are visible regularities of form found in the natural world. These patterns recur in different contexts and can sometimes be modeled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. — Wikipedia

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## Innovation

### Mathematics

Fibonacci numbers, commonly denoted Fn, form a sequence, the Fibonacci sequence, in which each number is the sum of the two preceding ones. The sequence commonly starts from 0 and 1, although some authors omit the initial terms and start the sequence from 1 and 1 or from 1 and 2. Starting from 0 and 1, the next few values in the sequence are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, … — Wikipedia

Fibonacci Number (Wolfram Math World)Fibonacci numbers (Encyclopædia Britannica)

### Technology

Fractal is an abstract object used to describe and simulate naturally occurring objects. Artificially created fractals commonly exhibit similar patterns at increasingly small scales. It is also known as expanding symmetry or evolving symmetry. If the replication is exactly the same at every scale, it is called a self-similar pattern. An example of this is the Menger sponge. Fractals can also be nearly the same at different levels. This latter pattern is illustrated in small magnifications of the Mandelbrot set. Fractals also include the idea of a detailed pattern that repeats itself. — Wikipedia

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## Preservation

### History

Leonardo Fibonacci (Encyclopædia Britannica)

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## Participation

### Organization

Fractal Foundation

Phys.org

ISBNdb

USA.gov

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## Expression

Note: These are 360° Videos — press and hold to explore it!

360 degree VR 3D Fractals (YouTube Channel)

Truman Brown

Mandelbulb & Fractal Lab (YouTube Playlist)

### Poem

OEDILF: The Omnificent English Dictionary In Limerick Form

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