*Cosma* / Communication / Knowledge / Form / Foundation / Theory / System / Structure

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## Introduction^{1}

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

*Dictionary*

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

Free Dictionary, Wiktionary, OneLook

*Thesaurus*

Roget’s II (Thesaurus.com), Merriam-Webster Thesaurus, Visuwords

*Encyclopedia*

Structureis 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

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## Foundation

*Theory*

Patterns in natureare 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)

### Science

Bursting bubbles: Scientists examine the phenomenon and its real-world implications (Carolyn Y. Johnson, Boston.com)

Patterns in Nature, Bubbles & Foam (Wikipedia)

Mysteries behind interstellar buckyballs finally answered (Rachel Abraham, Phys.org)

Fullerene (Encyclopædia Britannica)

### Technology

Fractalis 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

Infinite World of Fractals (Fractal Foundation)

Fractal (Wolfram MathWorld)

InfiniteZoom (Sarah Scotland)

Design and characterization of electrons in a fractal geometry (S. N. Kmepkes Et. al., Nature Physics)

Physicists build fractal shape out of electrons (Phys.org)

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## Preservation

### History

Leonardo Fibonacci (Encyclopædia Britannica)

*Quotation*

### Library

WorldCat, Library of Congress, UPenn Online Books, Open Library

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## Participation

### Education

Best Structure Building Activities for Kids (Little Bins for Little Hands)

Structures (Wolfram Alpha)

Structures (MERLOT: Multimedia Educational Resource for Learning and Online Teaching)

Structures (OER Commons: Open Educational Resources)

Educators Guide to Fractals (Fractal Foundation)

Infinite World of Fractals (Fractal Foundation)

Fractal (Wolfram MathWorld)

InfiniteZoom (Sarah Scotland)

Fractal (MERLOT: Multimedia Educational Resource for Learning and Online Teaching)

Fractal (OER Commons: Open Educational Resources)

### Community

*Organization*

*News*

*Book*

### Government

*Document*

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## Expression

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

360 degree VR 3D Fractals (YouTube Channel)

Mandelbulb & Fractal Lab (YouTube Playlist)

Fractal Lab – Interactive WebGL Fractal Explorer

Fractal Lab (sub.blue aka Tom Beddard)

### Arts

Golden ratio (Math is Fun)

Golden ratio (Wolfram Mathworld)

Golden ratio (Wikipedia)

*Poem*

OEDILF: The Omnificent English Dictionary In Limerick Form

*Music*

How Sound Affects You: Fibonacci Tuning Forks (Lynda Arnold, Ask Audio)

Song Lyrics

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Here are links to pages about closely related subjects.

**Knowledge Form**

**Foundation**

**Theory**

**Philosophy** Metaphysics, Logic, Epistemology, Ethics, Aesthetics

**System**, Cycle, Structure, Growth, Complexity, Control, Disturbance, Entropy, Chaos

**Process**, Manage, Design, Prototype, Implement, Assess, Revise, Maintain

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1. The **resources** on this page are are organized by a **classification scheme** developed exclusively for *Cosma*.