Me to designer of the above: on this one I’d maybe put the labeling spheres right over the tet corners and not have them inside the tip tetras. Colored balls label vertexes more than they do volumes.
Then of course I’ve proposed using the term “CCP-sized” if the balls are more than just heuristic labeling devices for the purposes of description, and actually are a part of the objective vista, important in their own right. Not ideological symbols but actual objective phenomena. In that case, their precise size actually matters, as I want CCP balls to touch each other (four balls make an IVM tetrahedron). Yours rarely do. You’ve come across as disinterested in the CCP of CCP-sized balls, but then seem OK with Struppi’s colored ball packings and consecutive numbering schemes.
Yes, there’s a school of thought says all these polemical word acts, such as sarcasm, are “violent” however I come from the “sticks and stones may break my bones but names will never hurt me” nursery down the hall, where “use your words” to a preschooler means “rather than indulge in physically outward violent acts that may lead to physical injury, express your attitude verbally in a clear and simple language.”
That’s what “alternatives to violence” workshops, like in prisons, often feature: better verbal communication skills. We don’t punish people who “use their words” (versus “act out”) by name-calling them “violent” (that comes across as a low blow, a dirty trick, kinda “forked tongue” if you ask me).
So sarcasm is OK. We Quakers forswear outward violence meaning it’s all about the power of the pen being greater than that of the sword. That means edgy writing, sharp wit, is encouraged, not dumbed down with a lot of waffle whiffle sniffle piffle.
I was familiar with apex-outward packing as an option, but was doing animated GIFs of center-outward (1, 12, 42, 92, 162…), and such, so long ago that OEIS itself mentions my name in the links section, has for a long time. You never link to OEIS. I judge a scholar on how much room they have for egos other than their own (without necessarily dismissing their own egos).
Your rigorous insisting on same (apex outward), versus concentric (starting with Orange or Black), starting with Blue (so arbitrary!) and growing in the direction of the RYG triangle, 3, 6, 10, 15… with cumulative tetrahedral numbers (1, 4, 10, 20 35…) showing up on Reds, because Red is always the last in our Top Down Left to Right algorithm (TDLR), helped me hammer on my codebase and produce more content in my Jupyter Notebooks.
That’s what I was taught by Struppi when he briefed me on what you’d been doing, then I learned later it was still up for grabs to some degree. Oh well, what’s important is internal consistency. Internal to my own corpus. We can swap in different algorithms, just give them names so we can tell them apart.
For my purposes, I had to choose one when I had a window to number all the balls out to what was it?
Ball 15 is at the body center of a 4-frequency so the next triangle out is what triangular number?
Packing CCP balls (in the mind’s eye — no physical objects necessary if you’re unable to obtain educational supplies, you might be a prisoner in some XYZer jail):
Layer: Tri-number: Enumeration: Comment
- L0: 1: (1) (B): apex beginning starting with BYRG-Byrd duotet of volume 3
- L1: 3: (2 3 4) (GYR): (2 is green, then Y then R)
- L2: 6: (5 6 7 8 9 10): (make 10 red)
- L3: 10: (11… 15… 20): (11 is green, 15 is mid tetrahedron)
- L4: 15: (21… 35): (21 is green)
https://github.com/4dsolutions/School_of_Tomorrow/blob/master/Packing_algorithms.ipynb
Now you and Struppi are refining and defining on ahead without me regarding all kinds of additional color coding matters. I’ve had a consistent color coding of Holy Grail polyhedra since the 1990s I’m not about to mess with any more than I’d mess with the Lakota mapping of Red to North.
I’m content with my harvest of BRYG-bryg color coding for the DuoTet. I know that’ll be compatible with whatever plumbing you guys work out. In the meantime, although I practice teaching synergetics to the “Wtuff Guy” I think my readers all know that’s supposed to seem pretty hopeless. They’re supposed to figure it out while you’re still scratching your head. They feel smart and rewarded. You have been of much service. Keep it going!