Agricultural and Biological Sciences
3 years ago

Unlocking Nature's Secrets: New Method Reveals Hidden Complexity of Fractal Shapes

2021 5th International Symposium on Multidisciplinary Studies and Innovative Technologies (ISMSIT)
Calculating Boundaries in Methods of Determination of Fractal Dimension
Shahzoda Anarova, Saidkulov Elyor Abdullaevich

Paper Summary

Related papers

Theme background image
Mathematics
2 years ago

New fractal dimension definition revolutionizes classification of topological spaces.

Dynamical Systems
Automata Theory
Phase Transitions
Theme background image
Agricultural and Biological Sciences
3 years ago

Unlocking Nature's Secrets: New Method Reveals Hidden Complexity of Fractal Shapes

Soil Evolution
1 view
Theme background image
Mathematics
5 years ago

New theory calculates fractal dimension for any space, revolutionizing spatial analysis.

Dynamical Systems
Phase Transitions
Econophysics

This article discusses fractal shapes found in nature and the concept of fractal dimension. It explores how different algorithms can lead to inconsistent results when calculating fractal dimension. Fractal dimension is a coefficient used to describe complex shapes, with different values for points, lines, surfaces, and volumes. The goal is to understand how to measure the complexity of shapes in a precise way.