R.Buckminster Fuller, known as Bucky by most of his friends and at his own insistence, worked directly in Germany with my own mentor Rudolf Doernach. I’ve listened to countless hours of Bucky’s recorded audio transcriptions and Synergetics is a frequently referenced tome in my library. It’s with great affection for this ‘honorary grandfather’ that I never met, that I humbly dedicate this project to, and whose legacy abcd.earth squarely, or rather tetrahedrally, stands on. Synergetics forms a kind of canonical library of forms, ‘shapes’ as some call them, whose broad family of inter-relationships, both static and dynamic paint a picture of what is most likely, the coordinate system underpinning all phenomenon in Universe.

The beating heart of synergetics is the tetrahedron, which is formed by the diagonals of the cube. 4 CCP (close packed) balls at each vertex of the tetrahedron have a diameter equal to the cube’s diagonal. abcd basis vector colors are here represented as:
A [1,0,0,0] Yellow Basis Vector
B [0,1,0,0] Red Basis Vector
C [0,0,1,0] Blue Basis Vector
D [0,0,0,1] Green Basis Vector

Gravity is a response to Geometry ~ Einstein

Einstein didn’t say mass determines geometry and geometry determines mass in a mystical ouroboros — he wrote down the field equations and the metric tensor does the work. The geometry is the physics. Everything else is bookkeeping.

Fuller said the same thing from the other direction: “Nature is trying to tell us something — she’s using the tetrahedron.” We keep failing to see this in the sustained use of the XYZ coordinate system, that the tetrahedron is the minimum structural system in Universe. Four vertices, six edges, four faces — you can’t have less and still enclose space. Everything more complex is a frequency elaboration of that.

The work we’re doing on this project demonstrates that tetrahedral geometry produces integer coordinates, rational operations, and algebraic exactness where cubic geometry produces irrationals. This is a geometric fact with measurable consequences (zero rounding error, exact fabrication dimensions, one √ instead of hundreds) ~ the geometry speaks for itself.

Geometry is the substrate of everything. The rest is response.

BMCRP VM Bx89 Nakagawa Portraits 11ee--Sum1949 (6506073429).jpg From the Black Mountain College Research Project Papers, Visual Materials, North Carolina State Archives, Raleigh, NC.

BMCRP VM Bx89 Nakagawa Portraits 11ee–Sum1949 (6506073429).jpg From the Black Mountain College Research Project Papers, Visual Materials, North Carolina State Archives, Raleigh, NC.