( Eze 9:1) And he cried in mine ears with a loud voice , saying , The judgment of the city has drawn nigh ; and each had the weapons of destruction in his hand .
( Eze 9:2) And , behold , six men came from the way of the high gate that looks toward the north , and each one ' s axe was in his hand ; and there was one man in the midst of them clothed with a long robe down to the feet , and a sapphire girdle was on his loins : and they came in and stood near the brazen altar .
( Eze 9:3) And the glory of the Elohim of Israel , that was upon them , went up from the cherubs to the porch of the house . And he called the man that was clothed with the long robe , who had the girdle on his loins ;
( Eze 9:4) And said to him , Go through the midst of Jerusalem , and set a mark on the foreheads of the men that groan and that grieve for all the iniquities
that are done in the midst of them .
( Eze 9:5) And he said to the first in my hearing , Go after him into the city , and smite : and let not your eyes spare , and have no mercy .
( Eze 9:6) Slay utterly old man and youth , and virgin , and infants , and women : but go ye not nigh any on whom is the mark : begin at my sanctuary . So they began with the elder men who were within in the house .
( Eze 9:7) And he said to them , Defile the house , and go out and fill the ways with dead bodies , and smite .
( Eze 9:8) And it came to pass as they were smiting , that I fell upon my face , and cried out , and said , Alas , YHVH ! wilt thou destroy the remnant of Israel , in pouring out thy wrath upon Jerusalem ?
( Eze 9:9) Then said he to me , The iniquity of the house of Israel and Juda is become very exceedingly great : for the land is filled with many nations , and the city is filled with iniquity and uncleanness : because they have said , YHVH has forsaken the earth , YHVH looks not upon it .
( Eze 9:10) Therefore mine eye shall not spare , neither will I have any mercy : I have recompensed their ways upon their heads .
( Eze 9:11) And , behold , the man clothed with the long robe , and girt with the girdle about his loins , answered and said , I have done as thou didst command
me . {GLP Permanent Link}

WATCH:

 

Ian Stewart famously asked, ‟How long is the coast of Britain?”

Benoit Mandelbrot said, ‟Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.”

The traditional models of theoretical science are objects such as curves and surfaces. Usually these are assumed to be smooth—so that calculus can be used to study them—which means that on a large enough scale they appear flat. For example, the Earth, on a rough approximation, is a sphere; and to its inhabitants it appears flat, because not enough of it is visible to notice the very gentle curvature. But the coastline of Britain and the surface of the lung do not look flat, even under a powerful microscope. They remain crinkled. Such objects, possessing detailed structure on manh scales of magnification, abound in nature; but only recently have they been identified by scientists and mathematicians as something worthy of study in its own right. The result is a new breed of geometric figure, called a fractal. The name, derived from the Latin for 'irregular,' was coined by Benoit Mandelbrot, an IBM Fellow at the Watson Research Centre in New York State. Mandelbrot has been the prime mover in the recognition of fractals as a new kind of mathematical object, well suited for the modelling of natural phenomena involving irregularity on many scales.

Fractals are mathematical objects that exhibit self-similarity on different scales. This means that they look the same at different levels of magnification. Fractals have a fascinating geometry that is different from traditional Euclidean geometry, which deals with smooth curves and surfaces.

One of the key characteristics of fractals is their complexity. Fractal objects can have an infinite number of details and irregularities, even though they may have a finite size or length. For example, the Mandelbrot set, one of the most famous fractals, has an infinite number of intricate patterns and structures that can be explored at different levels of magnification.

Fractals have many applications in science, engineering, and technology. They can be used to model and simulate complex systems and natural phenomena, such as turbulence, growth patterns, and geological formations. Fractal geometry has also been used in computer graphics, image processing, and data analysis.

The study of fractals has led to new insights and discoveries in many fields of science and mathematics. It has also sparked a new interdisciplinary field of research called fractal theory, which explores the properties and applications of fractals.

 

 

 

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