Thursday, June 18, 2026

Coasting to a Close

Having reminded presenters, especially the new ones, how I’m role modeling “place based”, I’m coasting through to the end of Spring’s term, looking forward to Summer’s. I’m referring to my School of Tomorrow, which takes a placed-based approach to pedagogy-andragogy (from child to adult).

However, “coasting” does not mean “not busy”. Thanks to co-presenters on social media, I’ve been going deeper into my studies and sharing results, both in terms of Project QuadCraft (“a world beyond MindCraft”) and in the matryoshka department (concentric dolls). I’ll use the balance of this blog post to summarize these results.

First thing first though, instead of FIFA we watched a Euro-made version of Dracula which was in some ways better than expected. Let’s see if I can write a tagline: a self righteous church has ways of dealing with overly-liberated women. Nah, that wouldn’t resonate with most people. Anyway, some of my friends are watching FIFA on Fox. I do get broadcast television, but not cable.

Project QuadCraft is about using Quadray Coordinates internally, although conversion to XYZ is naturally needed to make the computations intelligible to other software, which have more MineCrafty APIs. No problemo. We’ve had XYZ output since the beginning. But not everyone adopts the same conventions when it comes to the R-edged and D-diagonaled cubes, where R and D are radius and diameter of our closest backed balls (yes, the IVM or CCP).

Per our Volumes Table on Synergeo, used by many presenters who are not necessarily subscribed, our R-edged cube is irrationally volumed vs unit, even as our D-diagonaled cube is wholesomely whole numbered, and that difference in design throws off a lotta people. That’s why presenters have done some homework to keep peeps on track.

As for the dolls (the poly-guys matryoshka), we’ve been focused on an Italian Renaissance figure who lived around the same time as the Dracula in the Euro-movie: in the 1400s. He was a polymath (“Renaissance Man”) who made contributions across the spectrum, and gets a lotta credit for that icosa-inside-octa (faces flush), an arrangement of two Platonics that’s not a dual pair so much as a bridge, between 4- and 5-old symmetry fams. That’s another ongoing discussion on Synergeo.

Per said Volumes Table, our canonical octahedron has volume 4, whereas the faces flush icosahedron (Piero’s) is closer to 2.917 in volume. We have ways to express this “icosa within” (IW) volume in terms of algebra, which in this context means in terms of surds. Synergetics has always used surds, contrary to some boomer-led dumbing down campaigns mostly led by the math averse. As a presenter, you’re always welcome to take it away into new dimensions, but lets remember our source and its original design.

However, our middle schoolers are getting the art of programming through their homework anyway, we hope remuneratively although School of Tomorrow isn’t itself running a payroll. The presenters of which I speak have their own various ways of capitalizing on curriculum content. In my case, I’ve worked per hour on synchronous and asynchronous projects. I’ve joined as a W2 employee far less frequently (O’Reilly) but have done that too. Mostly I’ve been agreeing to teach online, and in live events around town, for example in the public and private middle schools (I’m thinking of Coding with Kids and Sunshine Elite).

The new-to-me Koski Identity, 60 S + 60 s3 for the RT built from Piero’s IW, gets snarfed up by Python and worked with algebraically, keeping the surds in play until we wanna tap those sympy expressions for decimal digits (that’s usually our base). S is of course from BASKET (K for 1/120th of a 7.5-volumed RT — not mentioned in the original two volumes, but included in the Wikipedia table). s3 means “S phi down” meaning “all edges shrunk by phi” (multiplied by 1/phi — or use the Greek letter) meaning “volume shrunk by phi to the 3rd”. 60 of each (big guy and little) add to the same volume as said RT.

Polymathic Geometry

We’ll celebrate closure of our Spring Term in the form of a Wanderers gathering at the Linus Pauling House, our temple to engineering. It’s not like we’re too snobby to admit non-engineers or topics outside of engineering. We’re actually not a membership organization, even if we accepted donations (Jon Bunce did) for the coffee fund. That’s when we’d meet weekly. My template for presenter meetups, locally arranged, derives from this model, and from Meetups more generally, especially those of the Thinking Society of Greater Philadelphia (CJ) and 52 Living Ideas (Shrikant). Our Shaman of Synergetics knows what I’m talking about as do others you’d be able to seek out for more context.