A Notebook: On the Organization of Natural Data: Explorations of the Application of Fractal Dimension & Ancillary Calculations to Estimate the Center Point from a 3X3 Grid of Actual Topographic Data
What is the book about?
The book looks at calculating the center point elevation value from a 3X3 grid of actual topographic data while only using the outside corner and edge values. The book identifies what are probably new fractal type dimension calculations. The author proposes the term “Mobius Square fractal dimension” for the key calculation in the work.Some of the findings from the various calculations are amazing to the point of: “WOW – How Does Nature Do That?”
How can I use the material in the book? What advantage can I get from the book?
The results presented are the start of a new theory of how natural data is organized. There is still much work to be done to complete the theory. A more formal mathematical framework by others is anticipated.
One very concrete application would be to use parts of the theory to condition geostatistical realizations from existing software.
Code snippets for many of the key equations are provided in the appendices.
How difficult is the material?
The basic fractal type equations are relatively simple. The application of these equations is very concise. Rest assured there are some mathematical challenges, involving subtle details that require a patient examination of the 13 worked examples.
Pages
430
Publication Date
October 25, 2022
ISBN-10
0228874955
Now Available
