Instructional Math Tools, LLC.
West Melbourne, Florida 32904, USA
FRACTAL LOG
Fractal Log Website
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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.
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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".
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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.
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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.
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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.
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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.
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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.
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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.
############ Cladio the Worm ##########
Enjoy!
CHAPTER 1 - The "Secret Sauce"
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What is a function? How does "Recursion" work? How does Mandelbrot create his magic? Let us look closer and see if we have the eye
to recognize The Secret Sauce.
Chapter 2 - Complex Variables
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Complex Variables is the second video, in a six-part series of videos; answering the question: Why Mandelbrot?
Chapter 3 - The Algorithm
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Third video in a series of 6 videos belonging to the series "Why Mandelbrot?"
The video comes with a FREE Software Program, written in C++, which allows the novice to create their own Mandelbrot Baby.
It also provides the capability to dive-deep into the beautiful fractals which surround the baby.
DOWNLOAD THE PROGRAM -- DIRECTLY BELOW.
Mandelbrot Generator in written in source C++ Code
This C++ Program generates Mandelbrot Babies and allows for deep dives into fractals. Instruction for installation & operation of this code is contained in Chapter 3 of this video series, entitled "The Algorithm", this software is a free product; offered with no guarantees and no acceptance of liability. One needs to participate in the Chapter 3 video, prior to operating this downloaded software package.
This C++ code is intended for instructional purposes only and is considered a training aid - to teach you how to generate a Mandelbrot Baby and to zoom-in on areas of interest.
This series of videos is designed for the Mandelbrot enthusiast or for anyone wanting to learn more. Good to start with Chapter 1 - but this Chapter is stand-alone and I believe you will not only enjoy these brief 23 minutes, but you will be passing it on to your friends.
Chapter 5 - The Dimensions
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The "Why Mandelbrot?" video series has arrived at the heart of Mandelbrot's favorite pasttime: which is discussing fractal coastlines and their roughness in the context of Dimensions.
Prepare yourself for non-integer dimensions; not 1-D or 2-D; but 1.4-D. Chapter 5 explores Scaling Factors, Box Counting, Linear Regression, 3D Complex Plane, Mandelbrot Siblings, and a special visit to the MandelFash Fractal Log. You will really enjoy this visit into other dimensions.
