Conventional Critical-Path con-ceptioning is linear and self-under-informative. Only spherically expanding and contracting, spinning, polarly, involuting and evoluting orbital-systems feedback are both comprehensively incisively informative. Spherical-orbital critical-feedback circuits are pulsative, tidal, importing and exporting. Critical-path elements are not overlapping linear modules in a plane: They are systemically inter-spiraling complexes of Omni-inter-relevant regenerative feedback circuits.


R. Buckminster Fuller …………………..Synergetics 2


Epistemology: The branch of philosophy concerned with the nature and origin of knowledge. Epistemology asks the question “How do we know what we know?”


Tuning in: Me gross communication stone to stone …Stone to water……..


Tuning out: Cosmic Integrity The orderly inter-accommodation of all generalized principles constitute a design.


Omni-topology:
Omni: a combining form meaning “all,” used in the formation of compound words
Topology: topographic study of a given place (especially the history of the place as indicated by its topography)


We may say that thinking about the truth alters truth, but only to the extent of defining it. We may always clarify and re-define the truth by making it more comprehensively considerate and more incisively exquisite.
Truth alters truth only by refining the definition. The substance of the sensing and instrumental control of the physical means of communication is always refinable and tends toward the ephemeralization of doing ever more with ever less, but you can never get to the exact, most economical statement of the truth, for the very communication will have ephemeralized to pure metaphysics. Truths are like generalized principles: inter-accommodative and non-inter-contradictory. Truths are special case realizations of the generalized principles; by these very aspects are they discovered to be truths.


The Stone Age logic said that the wider and heavier the walls, the more happily secure would be the inhabitants. The advent of metal alloys in the 20th century has brought an abrupt change from the advantage of structural ponderousness to the advantage of structural lightness. This is at the heart of all ephemeralization: that is the dymaxion principle of doing ever more with ever less weight, time, and ergs per each given level of functional performance. With an average recycling rate for all metals of 22 years, and with comparable design improvements in performance per pound, ephemeralization means that ever more people are being served at ever higher standards with the same old materials.


Dymaxion: noting or pertaining to R. Buckminster Fuller’s concept of the use of technology and resources to maximum advantage, with minimal expenditure of energy and material




macro micro sphere

macro micro sphere




Spheres and 4 dimensional spheres (hypersphere) — some images to expand our minds from the discussion we had:


a four dimensional sphere parted -- into six equal sections, not two (projection)

a four dimensional sphere parted -- into six equal sections, not two (projection)

(…)The difficulty with viewing an object on a hypersphere is not being able to see it — it is, after all, a three dimensional object living in a three dimensional space — but being able to see all of it. It is an object that lives in a curved space, and we want to see it flattened out. Imagine, by analogy, a flatlander viewing something drawn on the surface of a two-dimensional sphere. He could walk around on the sphere’s surface, looking at the object, but he could never see all of the sphere that way, because there would always be part of it beyond the horizon. So any object that was drawn on the whole sphere would only partially be available to view(…)


More beautiful images and a very understandable (!) explanation on hyperspheres can be found on the MIT website. You will discover there that the main difference between a 3D sphere and a 4D one, is that you can completely “comb the hair” of a hypersphere whereas the combed hair of a 3D sphere always leaves you with a “cow’s tail” (!)


You are now thinking that I am nuts and should go light on the booze, right? Wrong! Check it out…




loxodrome-2Looking at spheres, here is the loxodrom & the rhumb line that incidentally was used in navigation… Did I hear someone say ships, secrets of navigation, invisible, veritas and geometry?












Fractal loxodrom tangled in a spiral

Fractal loxodrom tangled in a spiral

Another loxodrom, this one fractal — straight lines in universe? you bet not!






















Lorenz Attractor Visualization

Lorenz Attractor Visualization

Then, the Lorenz attractor – check it up at Lorenz and Modular Flows: A Visual Introduction: A tangled tale linking lattices, knots, templates, and strange attractors… You’ll be happy to find beautiful images and fascinating animations…


















How about these other ones? In a 2D or 3D world and thinking, do you really think our perception can seize all cycles, movements and information that is going on? View them all with animated movies at Math Artwork, you won’t regret the trip…


Spherical Canvas

Spherical Canvas

Reflective Sphere

Reflective Sphere

Inside The Reflection Of A Dodecahedron

Inside The Reflection Of A Dodecahedron

This one of a hyperbolic dodecahedron

This one of a hyperbolic dodecahedron

A pseudosphere derivative !

A pseudosphere derivative !

The shadow projection of a sphere

The shadow projection of a sphere

Cycles anyone?

Cycles anyone?

pulsative, tidal, expanding, contracting, spinning, involuting, evoluting, overlapping...

pulsative, tidal, expanding, contracting, spinning, involuting, evoluting, overlapping...



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