The Naked Mandelbrot - view you have never seen before

Check out this great video fascinating aspects of the Mandelbrot Baby that no one has ever seen.

Revealing the egg-case which surrounds the baby, with waves of colors dictated by loop-counts (ignored by almost all) fractal graphic creators. You will see the Mandelbrot with and without clothes.

A Beautiful Equation - broken-down & made simple.

The simplicity of Mandelbrot's Recursive Equation is revealed for all to see,

and for all to actually understand that beautiful equation. There is also an

easy to follow explanation of binomial multiplication - where even the novice 

will be wanted to program this equation in the language of their choice.

Part #1 of the SECRET to 3D Complex Numbers.

This video provides insight into non-associative 3-D graphics involving Mandelbrot's Set of Complex Numbers. Further, it contrasts the 1850 frustrations of William Rowan Hamilton's attempts to establish an R3 Field with Benoit Mandelbrot's 1980 Recursive Equation; which eliminated the need for an R3 Field. See the video (below) to find-out what I was able to accomplish, thinking 'outside the box’.

See also  Part #2 to completes the argument.

Part #2 of the SECRET to 3D Complex Numbers.

In Part #1, the 3-D Secret is revealed, that allows the creation of a 3-D Mandelbrot Baby. In Part #2 The MandelFash Fractal Log is analyzed and MandelFash Babies are generated by the Baby Generator Tool. This is a FREE tool which is made available via web download -- web address given at the end of the presentation.

Triple-Squares Dancing

Who would have imagined... the MandelFash Fractal Log is REFLECTIVE!! You can slice a Horizontal/Vertical chunk from the log at any point and guess what? You get identical slices - one horizontal and the other vertical -- both identical. Here are just a triple of the Log, out for a family outing - dancing naked.

Birth of a MandelFash Baby

This demonstration reveals the 3-D Sphere (of Radius 2) that surrounds the 3-D MandelFash Egg Case in Red. The layering around the Mandelbrot is defined by Loop-Count integers: the outside Black is exclusively #1 (color code for Black); the internal Egg Case interfaces with the black with #2 (code for Red); the #2 changes first to #3 and the #4 appearing as shades within the Egg Case (codes for darker Reds); then the Loop-Counts reflect much larger counts as the Fractals come into view.

Claudio - the worm

Enjoy!

The very long reach of the MandelFash Fractal Log

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The Fractal Log is infinite -- reaching in from forever and creating MandelFash Babies.

I am Dave Fashenpour and I have a BS Degree in Math and an MS Degree in Comp Sci. I am a retired military officer and a retired Senior Software Engineer for the Boeing Company. I worked as a contractor for NASA at the Johnson Space Center in Houston, Texas for 20 years and helped with the planning and design of the International Space Station.       

        

 I have been working on a process to create a 3D Complex Plane -- a plane that modern math teachers say does not exist.  My efforts were successful and I have the evidence to prove it. Will the math community step-up and admit they missed this one?  I think not!  You know, pride and ego sometime get in the way; but if we relax and take a step back, we can observe a beautiful graphic image; an image  that reaches to +/- infinity.


 I have successfully discovered a previously invisible entity and have documented the MandelFash Fractal Log (c), Copyright 2018-19, by Instructional Math Tools, LLC., Melbourne, FL.  First, came the Naked Log and then the Sliced Log.

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The Naked Log

The Naked MandelFash Fractal Log is a solid 3D object that surrounds the Mandelbrot Baby (discovered by Benoit Mandelbrot around 1980). The log is made-up of MandelFash Babies; an infinite amount of stacked babies with fractals all around, at least until they mutate into BLACK PIXELS at the end of the 'wings'. Somewhere, buried in the center of the MandelFash Fractal Log -- is the 2D Mandelbrot Baby. For over 40 years PEOPLE have tried to produce a 3D Mandelbrot, but all of them have FAILED. They hired artists and drew elaborate conceptual designs of what they THOUGHT was the 3D Mandelbrot. Programmers modified the equations that Mandelbrot had developed and said, yes this is it! But they were all wrong. WHY? They were all wrong because they did not incorporate the COMPLEX PLANE. The MandelFash Fractal Log consists of only COMPLEX VARIABLES.

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The Sliced Log

The Sliced MandelFash Fractal Log reveals the make-up of the log. It consists of solid babies -- MandelFash Babies! Their fractals surround each slice, that is until the slicing approaches the end of the wings; there, they mutate into BLACK PIXELS (the same Mandelbrot Set Membership Pixels discovered in 1980). One can produce three (3) significant slices from the MandelFash Fractal Log. There is the famous DIAGONAL slice that cuts the log in half, there is the VERTICAL slice which slices this 45 degree-leaning log at 45 degrees, and finally there is the HORIZONTAL slice which again attacks this 45 degree-leaning log at a 45 degree cut (90 degrees from the vertical).

Instructional Math Tools, LLC.

iMathTools Registered Service Mark: # 88379118

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See our Fractal Tools at http://iMathTools.com


Get a Research Project going as soon as possible. You do not want other researchers to confirm these 3D Complex Variables do exist! Don't you want your students to make their mark in the world of Fractal Mathematics? Wouldn't YOU like to be that student! (I will make sure you get all the data and tools necessary to succeed). Everything you need FREE with a Educational Users License -- just ask and tell me your plans.

Instructional Math Tools, LLC.

West Melbourne, Florida 32904, USA