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Chapter 3 - Molecules


Picture T1 has arrows pointing to the two largest molecules, outside of the parent. They are just visible as specks. Molecule T2 (which has a mirror image counterpart about the real (x) axis) is number two in terms of area, with molecule T3 having the most area outside the parent Mandelbrot set.


Below are the closeups of the two molecules. Notice how each molecule has filaments of froth connecting it to the parent molecule. I believe the primary connection is pathwise, through the 'cusp' of molecule (area circled in red), though this is just a guess on my part. If you look close you might notice the shape of each molecule is unique. For example, molecule T2 is an example of what I call a 'break' molecule. You can see that the two halves of the main cardioid are not symetric, with the top(ish) pointing half being slightly larger.

Each molecule is surrounding by an area of froth unique to it.

Below is the first atom we looked at in chapter 2 (picture T3). Arrows in red point to three molecules which are shown magnified in the images below. The green arrows show the five arms of froth associated with the largest atom. Note how the 'stem molecule' (red arrow, picture T6 below) has two large arms of froth attached to its two second order atoms



Picture T5 is an example of what I call a break molecule. The break molecule is the largest molecule found in a region of froth. It's also usually the most 'tweaked' - it displays the greatest deviation from the overall shape of the parent molecule. Look at the BW picture on the right (T5 picture group), which shows the Mandelbrot set in white. Notice how the bottom half of the cardioid is dominant, having more area then the top half.

Something about the shape of these molecules seems almost fluid to me, like a water droplet. Looking at the negatives below, the overall shape reminds me of a drop of fluid almost pinched into separate regions (atoms). All the connected julia sets in the complex plane always group into molecule shaped regions, and are not found alone.


Picture T6 is what I call the primary stem molecule for a given atom's froth. The molecules in the stem are usually orientated along their relative x (real) axis with the parent atom (see blue arrow, picture T4)


Below is another molecule, picture T7. This molecule slowly 'receding' into the froth. More on this next chapter.

Picture T8 below shows another atom and its area of froth.

Red arrow (T9), points to the break molecule for this region of froth. Note the break molecule is usually found in one of the two opposite arms of froth (tips circled in green) nearest their parent atom. The area circled in blue represents the point the primary arms of froth fall/orbit into to. Arrow for picture T10 points to the stem molecule.




(T9 pictures) Note how the right half of the break molecule is clearly dominant. The area of froth attached to the right second order atom (off right half of cardioid) is also much longer than the froth chain from the leftside second order atom


(T10 pictures) Note the long arms of froth connected to the two mirrored 'second order' atoms in the stem molecule.



Next chapter, first zoom sequence.
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