More Slinky Art

More photos from my iphone. Slinkys nested together make a great model for nesting tori. Torus is another word for donut. Aren't these lovely?

nested slinkys; cyd ropp

nested slinkys; cyd ropp

nested slinkys; cyd ropp

nested slinkys; cyd ropp

nested slinkys; cyd ropp

Yeah, that's me with the art on my head. I call it "Toroids on the brain."

Alignment of Planetary Nebulae Puzzles Scientists

Couldn't pass this one by without comment. Here is the beginning of an article posted at Space.com.
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Planetary Nebula Alignment Has Astronomers Scratching Their Heads

Space.com  |  By Mike Wall Posted: 09/05/2013 8:40 am EDT

Dying stars that are among the most beautiful objects in the universe tend to line up across the night sky, and astronomers aren't sure why. These "cosmic butterflies" — actually a certain type of planetary nebula — all have their own formation histories, and they don't interact with each other. But something is apparently making them dance in step, scientists using NASA's Hubble Space Telescope and the European Southern Observatory's New Technology Telescope (NTT) have discovered.
"This really is a surprising find and, if it holds true, a very important one,"study lead author Bryan Rees, of the University of Manchester in the United Kingdom, said in a statement. "Many of these ghostly butterflies appear to have their long axes aligned along the plane of our galaxy. By using images from both Hubble and the NTT we could get a really good view of these objects, so we could study them in great detail."

This mosaic shows a selection of stunning images of bipolar planetary nebulae taken by Hubble. Row 1 (from upper left): NGC 6302, NGC 6881, NGC 5189 Row 2 (from lower left) : M2-9, Hen 3-1475, Hubble 5.

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Okay, the first thing I see is a stunning array of toroidal vortices at galactic scale. Is it too controversial to suggest that large-scale, unseen, bi-polar electromagnetic and gravitational forces caused material to array itself into these vortices? The article says that what puzzles the scientists is not necessarily the presence of these vortices, but the fact that they are arrayed along the same axes, no matter their location. The study's lead author notes that these axes also align with the plane of our Milky Way, and he is puzzled by this, as well, as our Milky Way has no interaction with these far-away nebulae.


Scientists have discovered that the long axes of bi-polar planetary nebulae align with the plane of the Milky Way. The plane in the illustration above should be tilted like this / to portray it accurately in space.

The Simple Explanation cosmological theory suggests that our universe is brimming with fractal toroidal forces at various scales, from the tiniest sub-atomic particles to the largest cosmic phenomena.

The Simple Explanation's version of the Big Bang envisions the prototype of all toruses actually enveloping and defining the shape of our universe. This toroidal membrane, the originating fractal formula, describes and contains our particular space/time continuum. In this theory, there would indeed be a bi-polar axis through the middle of our universe, with toroidal motion at the farthest edges of our space, sending waves of gravitational influence (for want of a better term) inward toward the middle from the outer 'brane, and waves of expansive energy from the middle outward, feeding universal expansion from the center.  In other words, I predict astronomers will soon find one of these "butterflies" at the middle of our universe.

The Simple Explanation of the alignment of planetary nebulae with our Milky Way galaxy is that all of these objects are aligning themselves with the mother of all "butterfly" vortices at universal center.

Any thoughts?

Toroidal Symmetries and Fractal Divisions

Noodling around with a protractor, bisecting circles into smaller circles to make them into toroids. Along the way, the 2-D drawing displays beautiful symmetries of various kinds.

I drew this toroidal pattern using a pencil compass on paper. The lines you see at the circles' centers is where the compass dug into the paper. Pardon the mathematical imperfections, as this was done freehand.

I imported the drawing into Paint and airbrushed out the compass scratches. I can see toroids all over this drawing, but you may only be seeing the circles.

Here I've used the Paint program to highlight the largest torus in this drawing, which shows up if you imagine this as a cross-section of a sphere. The blue lines show the cross section of the torus cutaway. This inner torus has been subdivided again into two smaller tori (darker blue circles). The vertical yellow lines are the poles; the longest pole is for the central torus; the two shorter lines are the poles of the two subdivided tori. You can go on subdividing each torus this way, each time dividing the cutaway of the torus into half-sized tori.

This torus and its poles was used to illustrate "the great square within the torus." Same view as the blue lined cutaway above.

The darkest blue circles represent my clumsy eyeball method of illustrating how the torus is dividing fractally. Each torus cross section can divide into two more.
I wish I had a program that would draw these things more accurately. Any volunteers?

Notice the interesting way this fractal division works. It will go on forever, larger and larger or smaller and smaller, in true fractal manner.

Usually when I've thought about multiply-linked tori, they appear to nest at a single center pole, like Russian dolls. But these new drawings show how the tori can divide fractally along different lines. 

Concentric tori courtesy of http://www.multidimensionalmusic.com/review2.html

The Simple Explanation has also used nesting toroids to illustrate chakras.

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A little more fooling around in Paint gives us a "quasi torus" in the vertical direction (yellow). Look for more on this tie-in to quasi-particles in a future article.

Here I've used the poles to define a quasi torus perpendicular to the blue set. Following the logic of the Simple Explanation, I don't really think the tori divide up and down like this, along the poles, since the poles represent time and motion rather than space. I think the tori only divide in the horizontal (blue) space. But here we can see that this structure has room for a fully symmetrical set of divisions in the vertical (yellow) dimension.