What is Biogeometry?

Fractal geometry is a geometry that studies irregular geometric shapes. Relative to traditional geometry, the research objects are integer dimensions, such as zero-dimensional points, one-dimensional lines, two-dimensional surfaces, three-dimensional solids, and even four-dimensional space-time. The research objects of fractal geometry are non-negative real number dimensions, such as 0.63, 1.58, 2.72, log2 / log3 (see Cantor Set). Because its research objects are ubiquitous in nature, fractal geometry is also called "nature's geometry."

Fractal geometry is a geometry that studies irregular geometric shapes. Relative to traditional geometry, the research objects are integer dimensions, such as zero-dimensional points, one-dimensional lines, two-dimensional surfaces, three-dimensional solids, and even four-dimensional space-time. The research object of fractal geometry is non-negative real number dimension, such as 0.63, 1.58, 2.72, log2 / log3 (see

Many things in objective nature have a self-similar "hierarchical" structure. In an ideal situation,

In the 1970s, French mathematician Mandelbrot explored in his work how long the coastline of Britain is? This problem depends on the scale used in the measurement.

If you use kilometers

Fractal geometry has been applied in nature and physics. If you observe a pollen falling into the solution under a microscope, you will see that it continuously moves irregularly (

The "fractal fever" that began in the early 1980s is enduring. As a new concept and method, fractal is being explored in many fields. American physics master John Wheeler said: Whoever is not familiar with fractals in the future cannot be called a scientific cultural person. This shows the importance of fractals. Professor Zhou Haizhong, a famous Chinese scholar, believes that: fractal geometry not only shows the beauty of mathematics, but also reveals the nature of the world, and it also changes the way people understand the mysteries of nature; It also greatly expands the human cognitive territory.

Fractal geometry, as a new and popular theory and discipline in today's world, has made people re-examine the world: the world is non-linear, and fractals are everywhere. Fractal geometry not only allows people to perceive the integration of science and art, the unity of mathematics and artistic aesthetics, but also its profound scientific methodological significance ^[2] .