How to Make a Fractal
Jason Padgett’s new book, Struck by Genius, describes how a traumatic brain injury inflicted by muggers at a karaoke bar transformed him into a “mathematical marvel,” turning him into a hermit fascinated by pi at the age of 31.
How to Make a Fractal By Hand
Step 1: Draw an outline of the shape you want to fractalize. Step 2: Start by drawing a pentagon that is sliced into 40 equal segments. Step 3: Turn this shape into 40 right triangles (I use right triangles because that is how energy travels). In algebra, you can graph any equation; we’re doing the same thing with fractals.
How do you create a fractal?
The following are the steps to creating your own fractal:
- Draw a large version of a shape.
- Make a rule that you’ll use over and over.
- Repeat this rule on your image or shape until you can’t draw any more details.
What is a fractal drawing?
Fractals are 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 the same size. Fractals are generated by applying iterative methods to solving non-linear equations or polynomial equations.
What is the simplest fractal?
Because the Koch Curve is one of the most basic fractal shapes, calculating its dimensions is simple; its similarity and Hausdorff dimensions are both the same.
Is fractal a simple pattern?
Fractals are infinitely complex patterns that are self-similar across scales, and they are created by repeatedly repeating a simple process in an ongoing feedback loop. Fractal patterns are very familiar, as nature is full of them.
What is the most famous fractal?
The Mandelbrot set has become the most famous object in modern mathematics, and it is also the breeding ground for the world’s most famous fractals, owing to its haunting beauty.
Is snowflake a fractal?
The fact that snowflake crystals are fractals, patterns formed from chaotic equations containing self-similar patterns of increasing complexity with magnification, adds to their allure. When you divide a fractal pattern into parts, you get a nearly identical copy of the whole in a smaller size.
Which is not a fractal?
For example, a straight line is self-similar but not fractal because it lacks detail, is easily described in Euclidean language, has the same Hausdorff dimension as topological dimension, and can be fully defined without recursion.
What is fractal and example?
Trees are natural fractals, patterns that repeat smaller and smaller copies of themselves to create the biodiversity of a forest. Fractals are patterns that the laws of nature repeat at different scales, and examples can be found all over the forest.
Is fractal a good company?
Fractal Analytics is a great and employee-friendly company that values not only its customers but also its employees, taking care of their needs and promoting their growth and development through various trainings and certifications.
Is lightning a fractal?
Lightning bolts are fractal from this perspective because they occur when the amount of electrical charge in the atmosphere overcomes the air’s insulating properties, resulting in a kind of momentary u00abcracku00bb that breaks through the charged air.
What are 3 well known fractals?
Such fractals include the Cantor set, Sierpinski carpet, Sierpinski gasket, Peano curve, Koch snowflake, Harter-Heighway dragon curve, T-Square, and Menger sponge.
Is pineapple a fractal?
Fractals include things like snowflakes, peacock feathers, and even pineapples.
What are the 5 patterns in nature?
The “Five Patterns in Nature” that we chose to investigate are spiral, meander, explosion, packing, and branching.
What are the examples of fractals?
Branches of trees, animal circulatory systems, snowflakes, lightning and electricity, plants and leaves, geographic terrain and river systems, clouds, and crystals are some of the most common examples of Fractals in nature.
Is Sierpinski triangle a fractal?
The Sierpinski triangle is a self-similar fractal made up of an equilateral triangle with smaller equilateral triangles recursively removed from the remaining area. Wacaw Franciszek Sierpiski (1882 u2013 1969) was a Polish mathematician.