I'm thinking a knight (right), kinda Monty Python, could be our XYZer, the Earthling.
He’s faced with this wholesome plate apparition (left), which the Jungians might call “a projection”. So be it.
Our hero Earthling is being challenged to experience a more ET-like perspective. That’s often how math works, when you let it. Insights come to one.
These are just mockups on my desk, in the instairs office.
I have an instairs and outstairs office, just to spite my spellchecker.
A lower floor is more inward, vs-a-vs the planet center, was the point, when first made, and some people never let go of it (or anything clever-sounding).
As I’ve said many times, Sesame Street was both a revelation and an inspiration.
I’m talking about the workflow, of clips from all manner of artists coming in to fill the database, per a topical index, a pretty simple one (this was for little kids after all, so alphabet and basic numbers, hardly even grammar or arithmetic operations). Grammar is more by osmosis anyway, at that level.
Our database could be similar, with topics like Jitterbugs One and Two.
Jitterbug One: the classic one we learn about early, wherein a 24 stick unstable network, of 8 triangles and 6 squares, is stabilized by adding struts across the squares, causing them to fold and crease. 14 faces (windows) becomes 20.
Jitterbug Two: similar in that a cubocta-to-icosa transformation is involved, but the better visualization is the 12 vertexes of the 2.5-volumed cubocta are “riding the rails” on an octahedron, such that the triangles enlarge by rotation, as the now 20 edges elongate.
You wanna see an animation right? Exactly. Various scaling constants are involved, including the “S-factor” the volume of S/E.
Along those same lines: the icosahedron is used to generate its 31 great circles, with poles through opposite corners (6), faces (10), and mid-edges respectively (15). Each pole takes two opposing features.
The cuboctahedron gets the same treatment. Starting with fewer faces (14) and edges (24), we get only 25 great circles.
Just as Jitterbug One turns one polyhedron into the other, so may we animate a dance of great circle networks. The 31 twists through the 25 and lands as an alternate set of 31, twisted the other way.
You wanna see an animation again, right?
