Lesson Plans
Cascadian Synergetics
Remember one of our main lesson plans is to compute the overall filled-to-empty-space ratio of the IVM i.e. about 74% to 26%.
https://docs.google.com/presentation/d/1zcJsWYuV_DW1HKZirsoufacPMNlXQgWoYHeYPOPS1kY/edit?usp=sharing
We can do this in the old XYZ way with XYZ numbers, or we can apply the Synergetics Constant S3 and ratio the ball to its domain of volume 6. I’m of course referring to what Bucky calls “the spheric”, the RD.
We’ll get the same answer, the same ratio. That’s a nice bridge from the XYZ volumes to the IVM volumes.
The table below puts the RD in its concentric hierarchy context within the IVM (octet-truss in the patent):
Between the Cube and Tet in volume come the shapes under discussion in recent threads: VE of volume 2.5; IcosaWithin (“skew icosahedron”) of volume ~2.92
The “IcosaWithin” is not named that in the published volumes. That’s a quirky name given it by me n Koski. It’s within the Octahedron of volume 4.
Now one could say the wooden spheres are not purely solid and that would be correct. Physical substances are permeable and on zoom-in have micro-structure.
In our imaginations, we believe we have a true continuum (or call it a “manifold”), true impermeability.
I’m not sure that idea comes from qualia, as the philosophically trained-like to say (“qualia” is right up there with “quantum” for them). When you close your eyes and imagine a perfect circle, to how many digits of pi is it perfect. You say “all the way”. You’re having a mystical experience we’re to presume. Spheres: same thing. They’re approximations in Synergetics and have to do with inter-distances, relationships.
The IVM does not have to be modeled with “solid” balls. It can be as ghostly as the XYZ, i.e. not there at all except as an imaginary set of grid lines. It’s all special case, how you wanna project it, for your specific application.
I haven’t included the S module in the table but we’ve already seen exactly where it fits in, and how phi-scaled S modules provide additive relationships equalling each of the above polys in volume (picture pouring sand).
When it comes to Cascadian Synergetics as shared through Wanderers and others, I’m confidant all of this basic information will remain intact. We have the slides, the posters, the videos, and now we’re building up the 3D printing side of our business.
Developed from Synergeo