I don't normally share designs unless they relate to a topic or they convey
fundamental relationships. I believe this one will prove to be fruitful once we observe the relationships via rational units.
After combining a few of the previously demonstrated models thanks to the inspiration and insights gained working with L on his threads...
I came across the HarmonicPenduluPiWheelofVessi
which i had dedicated to the Flow Gang in '08 ... I decided to re-work it using all the combined knowledge and skill accumulated thus far.
The results appear to define the Master Mason's "sacred" Square & Compass... I say "Master" Mason... because the tangent has a slope angle of
~32 degrees... making it a 64 degree "mirrored" compass symbol... Everything I have breifly read conveys 60 degrees? Anybody out there ever heard of a 64 degree compass symbol? I hope to learn more reading the discussion.. thanks in advance.
without rambling any further... I'll post the art... ramble some key relationships and let you guys/gals digest...
again, I left off the numbers/ratios as to not distract from the "art".
I Thank Claude and Modeh for conveying to use colors...it does make for an easier on the eye design... :)
to quickly point out some of the keys...
this model is built at its core via the square2Pi Model
...Then overlayed with L's 2:1 duplication matrix model.. lol! only with a 90 degree duplation...
circumscribed via a circle of [D] that approximates [BASE]xSQRT(5). We should immediately recognize that with root5 we also are dealing with
Phi and phi.... we can split root5 and simply have (Phi) less .5 ... :) which is also .5 greater then (phi)
...moving on... the legs of the masons compass are created via tangents that link to the 2:1 matrix model @ outer = atan(2) which is the sacred AE angle... @ (90-atan(2))
the inner is an approximation of atan(Phi).
Each tangent is mirrored vert and horiz making it harmonic...and, with the addition of the
Tri2Pi (yellow) lines... there are 3 separate cubes represented within this design all locked together...Tri2Pi duplates to the 12 sided dodeca... :)
I will have to break this design down piece by piece to better see all the connections... as well as how the canvas expands step by step ...etc..
there are crossing tangents that lead to whole degrees...and related to rectangulated space (slope angle) via Phi linked to Models... etc..etc..
....can almost see the kithcen sink coming out of the center of this one...!
given that all these models are combined to generate this Master Mason's square and compass... I presume this is Nu ground as well?
... however await feedback... :)
Unit analysis will be forthcoming over the next few days....:)