Saturday, February 07, 2026

Synergetic Arcana

In the backroom faculty lounge area, where Synergetics folks hang out, Syn-U folks for example, we're yakking about our lesson plans, curriculum segments, syllabus readings. I've been hammering out new ways to connect to BASKET from Quadrays, such as via this term "vane". The "vane" comes from windmill terminology; wind-driven surfaces, like propellor blades.

In this namespace, a vane is an isosceles triangle; six of them appear in our home base tetrahedron (HBT), our D-edged unit volume. Each is comprised by two caltrop spokes of length sqrt(6)/4 and an opposite edge of D. The Synergetics A module has a half-vane face, a right triangle. We have our segue.

As we start seeing more implementations of Quadrays, in alignment with our QuadCraft Project, how they're calibrated vs-a-vs XYZ becomes a topic, as do volume computations. My computer language encoded framework is one possible solution, already field-tested. 

I'm continuing to propagate it, by just using it.

Python:  Just Use It
just use it

Another isosceles triangle we want to promote, in the sense of analyze, is somewhat similarly shaped in having a wide angle, 108 degrees versus ~109.47 degrees. The two sides may be set to unit this time, or use the letter D, to remind of both IVM ball diameter, and of cube face diagonal (our volume 3). The opposite edge length is now phi.