FRACTALS IN CHEMISTRY, GEOCHEMISTRY & BIOPHYSICS.

GEOMETRICAL SHAPES AS FOUND IN NATURE OR IN MANMADE SYSTEMS: GENERALLY ARE DESCRIBED BY LENGHT X WIDTH (2-DIMENSIONAL); WHILE LENGTH X WIDTH X HEIGHT DESCRIBES THE VOLUMETRIC SHAPE.
FOR INSTANCE: SQUARE HAS AREA = LENGTH X LENGTH :: 2-DIMENSIONAL

A CUBE HAS A VOLUME = LENGTH X LENGTH X LENGTH :: 3-DIMENSIONAL

THESE QUANTITIES ARE ALSO CALLED 2- OR 3- FRACTAL DIMENSIONS.

HOWEVER, WHEN CONSIDERING A ZIG-ZAG LINE DEPICTING A BOUNDARY BETWEEN TWO COUNTRIES ON A MAP: NEEDS A FRACTAL DIMENSION IN 2-DIMENSIONS.

SAME MAY BE DESCRIBED IN THE CASE OF A SHAPPE OF ANY LEAVE OR COASTAL LINE BOUNDARY. THE VALUE OF FRACTAL IS ESTIMATED USING A SIMPLE PROCEDURE.

A BASIC FRACTAL ANALYSES OF DIFFERENT REAL WORLD EXAMPLES , BASED ON SURFACE CHEMISTRY PRINCIPLES, IS DESCRIBED IN THIS BOOK.

FRACTALS IN CHEMISTRY, GEOCHEMISTRY

>>>MAGNITUDE OF FRACTAL OF ANY OBJECT: The magnitude of fractal of any object (for example: circumstances of leaves; painting strokes by a painter; etc) is specific for each system. This fractal value describes the system uniquely. These procedures and fractal principles are described.

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>FRACTAL COMPUTER PROGRAM: SEE THIS BOOK: SMALL EASY BASIC PROGRAM:

FRACTALS::::

FRACTALS IN MEDICAL SYSTEMS:::