Is this a 3D Mandelbrot? The Funky Baby is constructed using two Mandelbrot Babies: the original 2-D Mandelbrot and the sibling 3-D reflection - a MandelFash Baby. Wait until you see the complete 3-D MandelFash Baby; it is a beautiful thing.

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 'experts'). You will see the Mandelbrot Baby with

and without its clothes.

The simplicity of Mandelbrot's Recursive Equation is

revealed for all to see. You will actually understand

this beautiful equation. There is also an easy to follow

explanation of binomial multiplication - where even

the novice will want to see this equation work and to

"Feel the Thunder".

This video provides insight into non-associative 3-D

graphics, involved in 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 eliminates the need

for an R3 Field. See the video (below) to find-out

what you can accomplish, thinking 'outside the box’.

See also Part #2 which completes the argument,

below this video.

In Part #1, the 3-D Secret is revealed, a secret that

allows the creation of a 3-D Mandelbrot Baby. In

Part #2 The MandelFash Fractal Log is analyzed &

a variety of MandelFash Babies are generated by

the "Baby Generator Tool" -- a FREE tool which is

made available via a web download and the web

address is given at the end of the presentation.

Who would have imagined... the MandelFash Fractal

Log is REFLECTIVE!! You can slice it in a Horizontal

or a Vertical chunk from the log at any point and

you get identical slices - one horizontal and the

other vertical -- both identical. Here is a 'triple'

of the Log, out for a family outing - dancing

naked.

This demonstration reveals the 3-D Sphere (Radius 2)

that surrounds the 3-D MandelFash Egg Case in Red.

The layering around the Mandelbrot is defined by

LoopCount integer values; the LoopCounts increm-

ent from 1 to 1000 sequentially, one-at-a-time.

This video has inspired the creation of a manipula-

tive, an object that can be used in a Math Class.

The specifics of the Rings (Slices) of the Sphere

of Radius 2; as the MandelFash mutates through the

stages of development in order to become a mature

Mandelbrot Baby. These Specifications are the design

specs for a manipulative to be used in Mathematics

classrooms to teach the concept of an actual SPHERE

with Rings of 39 Color Transparencies supported by

a 3-D printed support structure. Would love to hear

your opinions and your ideas. Download the

"RINGS PROJECT-SPECS" to your computer.

Looks strangely like some of our stealthiest weapon systems.

Enjoy!

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.

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.

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).

See Chapters in the "Why Mandelbrot?" video series 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.

West Melbourne, Florida 32904, USA

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