When I upload webPages to my online WebSite, the bash script automatically changes :
For emails, I do that manually. I forgot with the last email I sent to you (often happens...). The complication now is that my new hard drive still isn't complete, and it may take a couple of days before I can find the root problem(s), and bash script upload all of my webPages so that the links will work. I forgot about that too, before sending the email.


The URLs have been corrected, but I still have to test them. So wait 2+ days before you can see anything!


Bill




I had far more time than usual to write this email reply because my computer is too tied up while I prepare a replacement hard drive. All other work has ground to a halt. Recent problems have scared me (much of my webSite online has been wiped out in the last 2 days), and I need backups for the backups of my backups. So far I've spent half of yesterday and all of today. The toolsets I am using take a long time for ~2 Tb of data.

Note that I got carried away (again) with Sierpinski fractal triangles, again.


Table of Contents


data from ancient sources for re-analysis

Of what could learn from the ancient Chinese sources, the list must be very long. Off the top of my head, here are some things that have been mentioned :

pseudo-decadal averaging work, Steven Puetz's Universal Wave Series

"... If you’ve posted your pseudo-decadal averaging work, I’d be pleased to inform Hayakawa, etc., of its existence. ..."

Although it sounds familiar, I'm not sure what this comment of yours might refer to. But I will simply respond in terms of a few things that have been on my mind at one time or another over the years :

Sierpinski fractal tetrahedra versus 3D Chinese checkers?

...OK, I'm still too excited about running into Sierpinski fractal tetrahedra years after seeing comments about : Any hints that ancients understood the atom better than modern Quantum Mechanicists?

Johanna L. Miller 19Nov2018 Quantum mechanics in fractal geometry (<Sierpinski triangle>), Physics Today

...Ingmar Swart, Cristiane Morais Smith, and colleagues at Utrecht University in the Netherlands have taken a step toward experimentally studying quantum physics in a fractional-dimensional system. On a (111) surface of copper they placed carbon monoxide molecules (black indentations in the figure) to corral the surface electrons into a simplified Sierpinski triangle.

Howell: it seems to me that Kaal has a fractal-like basis to his "Structured Atom Model" (SAM), albeit with many component parts, and therefore more complex than many well-known fractal patterns? Perhaps the use of fractals in hollywood CGI images is somewhat similar, but taken to artistic extreme?

image from etsy.com
3D Chinese checkers? - after the [excitement, anticipation] it turns out that :
  • 3D checkers are just 2D checkers raised to different levels (cheats!)
  • Chinese checkers apparently aren't Chinese? :

    Sternhalma, commonly known as Chinese checkers (US and Canadian spelling) or Chinese chequers (UK spelling), is a strategy board game of German origin which can be played by two, three, four, or six people, playing individually or with partners. The game is a modern and simplified variation of the game Halma.

    The objective is to be first to race all of one's pieces across the hexagram-shaped board into "home"—the corner of the star opposite one's starting corner—using single-step moves or moves that jump over other pieces. The remaining players continue the game to establish second-, third-, fourth-, fifth-, and last-place finishers. The rules are simple, so even young children can play.

3D Chinese checkers, Kaal style: Being lazy, why should I prepare an illustration when [Kaal, Sorensen] have already done so, tightly relating it to structures of the nucleus? More over, it's tied to a game with fun rules that let you build your own matter!

Let's look at carbon first, as it's easy to see : Atom-Viewer comment after selecting carbon : "... Carbon is the most 'perfect' element that is recognized in SAM. It is not only the most geometrical and complete element it is also the 'building block' for the larger elements. Multiple Carbon nuclets intertwined together are called the "backbone" of the Atom in the SAM model. Carbon has 2 stable and 1 semi stable isotopes, C12, C13 and semi-stable C-14. ..."
Do you see the tetrahedra?


The Atom Viewer only lists to 118 (Oq = Oqanssenon) at the present time. But the highest nucleus that I found an image for, was Plutonium 239. I'm wondering if that's where all the previous 3D Chinese checkers players stopped, for some reason or another. <grin>

So you must work hard to build the Chinese checker game, or go to the bar where you can get lots of advice. Playing chess with that many Sierpinsky fractal triangles, you might need all of the help that you can get...

(from : Sierpinski [triangles, tetrahedra]: Johannes Kepler, Edo Kaal, Pyramids [Bosnia, Egypt, Mesopotamia, Central America, China (dirt, not stone)] )