In my next school, my plan is to move through the Quadrays deck fairly quickly, explaining its significance to game development in terms of the squares to hexagons to rhombic dodecahedral space-filling. Consider 2D tank games. Some use a checkerboard, more like lat-long. Some encompass the planet in a hexapent much, more like Uber does.
The 3D analog of a hexagon is the dual of the four-hexagons cuboctahedron, Kepler's favorite space-filler (per Arthur Koestler I think it was).
Then, with relevance to gaming established, I'll switch of to the Dimension deck and go straight to the slide about the three namespaces: 4D ala Einstein; 4D ala Hilbert; 4D ala Fuller.
Quadrays help as gestalt switch between all three (picture a triangle), providing continuity with what we already know about XYZ (which is a lot). In other words, whereas the machinery of computer gaming was our showcase application (I'll have some version of QuadCraft at the ready), in philosophy of mathematics, it's more about transitioning among namespaces (picture changing TV channels with a remote).
That's already plenty for one talk. This will be a rehearsal for a second talk at the same school, a familiar pattern, and then maybe a third and so on. As a roving teacher for Coding with Kids, I'd use different formats, as their the goal was hands on and skills building. I performed that role having already worked with Saturday Academy as a middle to high school teacher, sharing Python and Martian Math.
Although an experienced coder, with some years of classroom teaching, this demographic was new to me. At CUE, my focus was andragogy more than pedagogy. With experience, I improved, and would continue to improve if working with kids again. However my next stop is a college.
Back to the decks, I'd emphasize that Quadrays post date the publication of the two Synergetics volumes by Macmillan (see Cosmic Fishing) and arose posthumously vs-a-vs Dr. Fuller's 1900s corpus. Also stress that the principals involved, creatives we look to, may not be aware of Synergetics at all, or, if they are, may regard it was some suspicion.
Our work is augmented by many skeptics, as we further clarify what we're clear on. Our goals are in many cases orthogonal to that of making Synergetics a popular reading. There's no forcing such a thing. However there is playing a role where there's demand.
So yes, of course, there's a lot to weave in outside my decks.
I'm focusing on my decks because I'm their provider and producer and want to offer advice to those in the field making use of same.
My intent is not to narrow the focus to just my relatively tiny inventory of goodies, but to give a sense of where said goodies might fit in to a bigger picture (i.e. yours).