The MandelFash Fractal Log

Building the Log out of Babies

Come along and see the MandelFash Fractal Log being built...

An actual three-dimensional (3-D) MandelFash Baby

Who is making this perposterious claim; "I discovered a 3D Mandelbrot Baby"? Who said that?


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 (ISS); and was fortuate enough to be a part of the building and testing of the ISS -- and when the final installation took-off from Cape Canaveral, I retired.       


In my leisure time, I have been working on the creation of 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 blew it -- I think not! You know, pride and ego get in the way. BUT, if they relax and take a step back, they will eventually see the fantastic results of discovering a graphic image that surrounds the Mandelbrot Baby. I have successfully created the MandelFash Fractal Log (C), copyright 2018. Listen to the two videos (below) and I will explain to you how I did it.

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 divorced themselves from the COMPLEX PLANE. The Naked MandelFash Fractal Log consists of only COMPLEX VARIABLES.

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).

Logs for Dummies (not you :-)

This video will tell you everything you need to know about logs. In particular, MandelFash Fractal Logs.

How to create COMPLEX 3D NUMBERS

How did I do it? Well, checkout this video and it will tell you exactly how it is done and will give YOU enough information that you could immediately sit down and write a VB computer program to bring the MandelFash Fractal Log to life -- within minutes of viewing this video (SAMPLE PROGRAM INCLUDED).

Instructional Math Tools


Researching the 3-D Complex Plane

I have expanded the 2-D Complex Number Space into a 3-D Complex Number Space; 

using a proprietary computation technique (c) 2018.  I have identified a 3-D structure never before observed, 

which I call the MandelFash Fractal Log. Full explanation in this Research Paper. But stand-by there is a technical text book 

being written/published as we speak - The Fractal Log - soon to be available on Amazon under brand name: iMathTools.



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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, L.L.C.

Wes Melbourne, Florida 32904, USA