We have expanded the 2-Dimensional Complex Plane of Mandelbrot's 1980 discovery, into a 3-Dimensional cartesian graphic with 2 Complex Planes. So "Yes", it is possible to obtain 3D Complex Variables! See: http://FractalLog.com The resultant structure, was designated the MandelFash Fractal Log with a 2018 Copyright by Instructional Math Tools, Melbourne, Florida. COLLEGES: get access to our methodology & tools for your own research classes -- FREE OF CHARGE -- see application for EULA grant below.
Under the blue fractal 'skin' of the MandelFash Fractal Log, the images of babies can be seen mixed with yellowish green fractals. Take a look at the first image of a 'skinless' MandelFash Fractal Log -- you almost feel like you should not be looking at this vulnerable, 'skinless' entity. This 3D image is exciting news, especially for those who have been searching for the 3D Mandelbrot for decades. Press the "Skinning The Log" button, below. You can also learn more about what we are discovering in the presentation videos below. Join us - you will not be sorry you did. Start by asking a question to Dave@MandelFash.com
As soon as Mathematicians figure-out what we have accomplished -- it will be too late. For now, we are having fun discovering an unknown world of 3D Complex Numbers and their associated Fractals. Watch the videos below! I We share everything with Universities (FREE OF CHARGE) and we even encourage S/W Developers with our Color Calculator DLL. If you are just curious - we welcome you with a FREE Fractal Explorer tool at http://iMathTools.com -- we are Instructional Math Tools, of Melbourne, Florida, and we welcome all interested parties to join-in and help us unravel the unknown world that we have stumbled into.
Top Fin of the MandelFash Fractal Log -- just a small sample, right before they mutate into black pixels. See what lives on the surface of the Log and enjoy the absolute beauty of hundreds of babies and fractal veins -- all dancing together to captivating music. Sound UP and hit FULL SCREEN.
Take 3 babies: The Mandelbrot Baby, The Vertical MandelFash Baby, and The Diagonal MandelFash Baby. They all play together and they all are derived using the MANDELBROT EQUATION in a 3-Dimensional Complex Plane.
WHY is the MandelFash Fractal Log Important? The story about how we got to the Log and how it CREATED the Mandelbrot Baby! Be sure to also checkout our tools at the MandelFash Explorer Store at http://iMathTools.com (we got a FREE Explorer, a fantastic PRO Explorer, and a Color Calculater DLL)
Behold, the 'magic' that expands Mandelbrot's 2D Complex world into a 3D Complex world of the MandelFash Fractal Log. Everything you would need to create your own Log -- including the Visual Basic programs that actually produced the horizontal baby (Mandelbrot), the vertical baby, and the MandelFash Fractal Log. See http://FractalLog.com
These are 3-D fractal structures that surround the butt of the Log. This video shows the magnification of the graphics package and also gives you a feel for the increasing detail -- no matter how deep you dive into the fractals. Be sure to hit the FULL-SCREEN button and turn the SOUND UP.
WE ARE "WALKING THE LOG", WITH GRAPHIC IMAGES THAT LET YOU WALK AMONG THE FRACTALS COVERING THE LOG AND POSSIBLY ALLOW YOU TO POINT AND CLICK AT WHAT YOU WANT TO EXPLORE.
A PROFESSOR, AN INSTRUCTOR, OR COURSE PLANNER? THEN DOWNLOAD THE BELOW EULA APPLICATION TO GET UNFETTERED ACCESS (free of charge) TO ALL OF OUR MATERIAL AND TOOLS. PERFECT FOR SPECIAL STUDIES. Math Students, you are invited to join us at http://FractalLog.com to understand the big picture!
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.
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This notice is only for individuals with an academic interest in pursuing the mathematics behind this project and would like to establish reseach studies and or other exploratory programs. There are three (3) Educational User License Agreements (EULAs) available and there is no cost involved in obtaining these licenses. This is strictly a non-profit opportunity; with the only objective being the evaluation and the utilization of a new mathematical technique.
IF YOU WANT TO UTILIZE OUR "DLL" PLEASE LET US KNOW.
IT IS A COLOR-CALCULATOR ENGINE
& HAS PASSED FINAL TESTING.
The MandelFash Set of Fractals are stacked in a 3-D Fractal 'LOG' that can be sliced. When you Slice exactly at Z=0, the MandelFash Baby is a fractal wonderland - so let us go take a look and expect to see great beauty. So buckle-up and be prepared to be amazed. MandelFash Fractal Log (c) 2018.
Red is the theme for the distressed fractals as the get pushed away from Log Center. These are at the Log Slice 1.0 (1 unit away from the Diagonal Baby). The birthplace for offspring babies also differs greatly from the fractals at Log Central. See for yourself - but you MUST turn the sound way up and be prepared to be literally be blown-away. Enjoy.
Interested in discussing University involvement with:
1) full-range of fractal capture and display capabilities,
2) creation of experimental technology & tools,
3) expand the utilization of two imaginary coordinate planes to other areas of study, and
4) maximize arithmetic processing techniques required to achieve ultimate future deep-dive explorations.
Get a FREE MandelFash Fractal Explorer app at: http://iMathTools.com
Graphing Calculator 3D used in our videos: http://runiter.com
Melbourne, Florida 32904, United States