# Simple Fractal

### Koch snowflake fractal (video) | Khan Academy

Koch snowflake fractal. Koch snowflake fractal. This is the currently selected item. Area of Koch snowflake (1 of 2) Area of Koch snowflake (2 of 2) Next lesson. Heron's formula. Video transcript. So let's say that this is an equilateral triangle. And what I want to do is …

### Fractals – Mathigon

mathigon.org/course/fractals/introduction

To create our own fractals, we have to start with a simple pattern and then repeat it over and over again, at smaller scales. One of the simplest patterns might be a line segment , with two more segments branching off one end.

### Koch snowflake - Wikipedia

en.wikipedia.org/wiki/Koch_snowflake

The Koch snowflake (also known as the Koch curve, Koch star, or Koch island) is a mathematical curve and one of the earliest fractals to have been described. It is based on the Koch curve, which appeared in a 1904 paper titled "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" by the Swedish mathematician Helge von Koch. The Koch snowflake can be built up ...

### Fractal | mathematics | Britannica

britannica.com/science/fractal

Fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in 1918.Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth. They are capable of describing many irregularly shaped objects or ...

### 14 amazing fractals found in nature - Mother Nature Network

mnn.com/earth-matters/wilderness-resources/blogs/14-amazing-fractals-found-in-nature

Apr 24, 2013 · Take a tour through the magical world of natural fractals and discover the joy of simple complexity. A chambered nautilus shell is an example of a fractal found in nature. (Photo: Jitze Couperus ...

### How to draw a Fractal: ("ïn-focus") - YouTube

Jun 15, 2016 · Intro video courtesy @zealup your videos Fractal: "ïn-focus" Parts of the fractal are focused with dark shade of colours and are highlighted with circular outline.. A simple fractal

### How to Build Beautiful 3-D Fractals Out of the ... - WIRED

wired.com/2017/01/build-beautiful-3-d-fractals-simplest-equations/

By folding fractals into 3-D objects, a mathematical duo hopes to gain new insight into simple equations.

### How Mandelbrot's fractals changed the world - BBC News

bbc.com/news/magazine-11564766

Oct 18, 2010 · Unfortunately, there is no definition of fractals that is both simple and accurate. Like so many things in modern science and mathematics, discussions of "fractal

### Fractal | Definition of Fractal by Merriam-Webster

merriam-webster.com/dictionary/fractal

Fractal definition is - any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to …

### Fractals Lesson Plans & Worksheets | Lesson Planet

lessonplanet.com/lesson-plans/fractals/all

Sixth graders define what a fractal is and experiment with patterns. In this fractals lesson, 6th graders create fractals in a word processor by using right triangles. Students rotate, shrink …

### Online Fractal Tools - Simple, free and easy to use ...

onlinefractaltools.com/

Online fractal tools is a collection of useful utilities for generating fractals and doing other fun fractaly things. All fractal tools are simple, free and easy to use. There are no ads, popups or other garbage. Just fractal utilities that work right in your browser. And all utilities work exactly the same way — press a button, get a fractal.

### Andrew Hoyer | Simple Fractals

andrew.wang-hoyer.com/experiments/fractals/

Really simple fractals implemented in JS. A fractal is a essentially a geometric (mathematical) pattern. In fact, fractals can be found all around you in your every day life in things like plants, clouds, and even the blood vessels in your body! Simply move your mouse over the fractals. ...

### Fractal - Output complex, flexible, AJAX/RESTful data ...

fractal.thephpleague.com/

Fractal provides a presentation and transformation layer for complex data output, the like found in RESTful APIs, and works really well with JSON. Think of this as a view layer for your JSON/YAML/etc.

### FRACTAL MACHINE - sciencevsmagic.net

sciencevsmagic.net/fractal/

NICO'S FRACTAL MACHINE. The shape you see is the combined output of the controls below. Mouse over them to see what they do. If the page gets too slow, turn some of the parameters down. Press H or ~ to hide the controls. Find out more in this blog post.

### Fractal Cutout Card – Fractal Foundation

fractalfoundation.org/resources/fractivities/fractal-cutout/

Cut out a 3-dimensional fractal and turn it into a pop-up card. Students make a 3-dimensional fractal cutout card by repeating a simple process of cutting and folding. They can turn their cutout into a fractal popup greeting card, decorate it artistically and share the lessons of fractals with others.

Simple Fractal is a boutique software consulting firm specializing in Robotic Process Automation (RPA). Our custom software robots have unlocked millions of dollars of value for businesses in...

### Fractal - Simple English Wikipedia, the free encyclopedia

simple.wikipedia.org/wiki/Fractal

Fractal - The Koch Curve
• The Koch Curve is a simple example of a fractal. First, start with part of a straight line - called a …
• The length of the Koch Curve is infinity, and the area of the Koch Curve is zero. This is quite strange. …

### Simple Fractal | Crunchbase

crunchbase.com/organization/simple-fractal

Simple Fractal is a boutique software consulting firm specializing in Robotic Process Automation (RPA). Our custom software robots have unlocked millions of dollars of value for businesses in healthcare, financial services, and other verticals.

### The beauty of fractals - A simple fractal rendering ...

codeproject.com/articles/38514/the-beauty-of-fractals-a-simple-fractal-rendering

I have written many fractal applications in my life. Starting on the C64, on the Amiga, on the PC, using different languages (even on a TI calculator in BASIC). Rendering fractals is a good practice when learning programming. Last week, I spent some time writing a simple fractal engine in C#. The purpose was to pack many of the programming techniques I was using during the last years into one application. In this application, you will find many interesting topics covered like: 1. General C# p...

### The Fractal : 5 Steps - Instructables

instructables.com/id/The-Fractal/

### Fractal Programming - Fractal Equations

fractalsciencekit.com/program/maneqn.htm

Fractal Equations are the programs used to define Mandelbrot Fractals in the Fractal Science Kit fractal generator. Before you begin, please read theMandelbrot Fractal Overview.See also: 1. Mandelbrot Fractal Overview 2. Base Equations 3. Properties Window 4. Program Editors 5. Fractal Programs 6. Program Instructions 7. Programming LanguageEach program is composed of a set of properties and instructions.

### Simple example - Fractal

fractal.thephpleague.com/simple-example/

Simple Example. For the sake of simplicity, this example has been put together as though it was one file. In reality you would spread the manager initiation, data collection and JSON conversion into separate parts of your application. <?php use League\Fractal\Manager; ...

### Online Fractal Generator

usefuljs.net/fractals/

The Online Fractal Generator is a web application for generating fractals using JavaScript, canvas and web workers. Formulae: Mandelbrot set, Julia sets, Multibrot sets and multijulia sets for any power of z, Newtonian fractals for any polynomial, Phoenix fractal, rational maps, Burning Ship fractal and Julia sets.

### What are Fractals and why should I care? – George Dallas

georgemdallas.wordpress.com/2014/05/02/what-are-fractals-and-why-should-i-care/

May 02, 2014 · However fractal geometry is still about making shapes, measuring shapes and defining shapes, just like school. There are two reasons why you should care about fractal geometry: 1. The process by which shapes are made in fractal geometry is amazingly simple yet completely different to classical geometry.

### Fractal - Wikipedia

en.wikipedia.org/wiki/Fractal