When was the Koch snowflake discovered?
1904
What is the fractal dimension of the quadric Koch curve?
Deterministic fractals
| Hausdorff dimension (approx.) | Name |
|---|---|
| 1.4649 | Quadratic von Koch curve (type 1) |
| 1.4961 | Quadric cross |
| 1.5000 | a Weierstrass function: |
| 1.5000 | Quadratic von Koch curve (type 2) |
What is the highest dimension of a fractal?
The morphological (FDM) and the pore mass fractal (FDMF) methods presented the highest dynamic ranges of fractal dimension: [1.939, 2.426] and [2.523, 3.754].
Are coastlines infinite?
The smaller the scale, the longer the distance. If we want to get really technical about it, the only mathematically satisfactory answer to the coastline paradox, as it’s called, is that every single coastline is infinite. Think about it: Every boulder protruding into the sea makes the coastline a little bit longer.
Does Pakistan have a coastline?
Pakistan’s coastline is about 990 km long, bifurcated in two parts, Sindh Coast (270 km) and Makran Coast (720 km). The Exclusive Economic Zone (EEZ) of Pakistan covers an area of about 240,000 sq. km. The maritime zone of Pakistan, including the continental shelf, extends up to 350 nautical miles from the coastline.
Which country has the longest coastline?
Canada’s
Are ferns fractal?
The fern is one of the basic examples of fractals. Fractals are infinitely complex patterns that are self-similar across different scales, and are created by repeating a simple process over and over in a loop.
Is a Rose a fractal?
Of course, all the natural structures are not governed by the same equations! Mountain ranges, coastlines and clouds are showing the results of different fractal calculations than the fractal fern leaf (image at left) or rose flower, yet they can all be shown to have fractal geometry in their manifestation.
Is fractal a shape?
A Fractal is a type of mathematical shape that are infinitely complex. In essence, a Fractal is a pattern that repeats forever, and every part of the Fractal, regardless of how zoomed in, or zoomed out you are, it looks very similar to the whole image.