Friday, April 12, 2024

The Vector Equilibrium

Conceptual impressions surrounding this post have yet to be substantiated, corroborated, confirmed or woven into a larger argument, context or network.

The cubeoctahedron (vector equilibrium)

The vector equilibrium is the true zero reference of the energetic mathematics. Zero pulsation in the vector equilibrium is the nearest approach we will ever know to eternity and god: the zero phase of conceptual integrity inherent in the positive and negative asymmetries that propagate the differentials of consciousness.

A cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive.[1] It is radially equilateral.
Coxeter, H.S.M. (1973) [1948]. Regular Polytopes (3rd ed.). New York: Dover.
 
• Vector Equilibrium (Buckminster Fuller) because its center-to-vertex radius equals its edge length (it has radial equilateral symmetry). Fuller also called a cuboctahedron built of rigid struts and flexible vertices a jitterbug; this object can be progressively transformed into an icosahedron, octahedron, and tetrahedron by folding along the
diagonals of its square sides. 






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In geometry, an icosahedron is a polyhedron with 20 faces. The name comes from Ancient Greek εἴκοσι (eíkosi) 'twenty', and ἕδρα (hédra) 'seat'. The plural can be either "icosahedra" or "icosahedrons". 

There are infinitely many non-similar shapes of icosahedra, some of them being more symmetrical than others. The best known is the (convex, non-stellated) regular icosahedron—one of the Platonic solids—whose faces are 20 equilateral triangles

Regular icosahedra
There are two objects, one convex and one nonconvex, that can both be called regular icosahedra. Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. Both have icosahedral symmetry. The term "regular icosahedron" generally refers to the convex variety, while the nonconvex form is called a great icosahedron.  
Source: Wikipedia
The Isocahedron


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In geometry, an octahedron (pl.: octahedra or octahedrons) is a polyhedron with eight faces. The term is most commonly used to refer to the regular octahedron, a Platonic solid composed of eight equilateral triangles, four of which meet at each vertex.

The Octahedron is the dual of the Cube, consisting of eight equilateral triangles. It has six vertices and twelve edges and represents the element of air in the classical elements. Plato associated the Octahedron with the element of air, attributing its lightweight and ethereal nature to the properties of the element. 
The Octahedron


Tesla's Vortex and the Octahedron






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In geometry, a tetrahedron (pl.: tetrahedra or tetrahedrons), also known as a triangular pyramid, is a polyhedron composed of four triangular faces, six straight edges, and four vertices. 
The tetrahedron is the simplest of all the ordinary convex polyhedra.[1] 
The tetrahedron is the three-dimensional case of the more general concept of a Euclidean simplex, and may thus also be called a 3-simplex. 
The tetrahedron is one kind of pyramid, which is a polyhedron with a flat polygon base and triangular faces connecting the base to a common point. In the case of a tetrahedron the base is a triangle (any of the four faces can be considered the base), so ate trahedron is also known as a "triangularpyramid" 
Like all convex polyhedra, a tetrahedron can be folded from a single sheet of paper. It has two such nets.[1] 
For any tetrahedron there exists a sphere (called the circumsphere) on which all four vertices lie, and another sphere (the insphere) tangent to the tetrahedron's faces.[2] Regular tetrahedron[edit] 
A regular tetrahedron is a tetrahedron in which all four faces are equilateral triangles. It is one of the five regular Platonic solids, which have been known since antiquity. In a regular tetrahedron, all faces are the same size and shape (congruent) and all edges are the same length.
[1] Weisstein, Eric W. "Tetrahedron". MathWorld.
[2] ^ Ford, Walter Burton; Ammerman, Charles (1913), Plane and Solid Geometry, Macmillan, pp. 294–295 



"The triad represents the number three. It is the first born and the eldest number. The equilateral triangle serves as its geometric representation and is the first shape to emerge from the vesica piscis. The triangle contains the smallest area within the greater perimeter. The number three is the only number equal to the sum of the previous numbers. For instance, one plus two equals three. And three is also the only number whose sum also equals their product. Or, one plus two plus three equals one times two times three. The triad signifies prudence, wisdom, piety, friendship, peace, and harmony. The triangle represents balance and is a polygon of stability and strength."



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Beginning Session 1-12, The Conscious Library

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System of Change, Energy and Design


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Fields of energy in motion cast impressions, influence and attraction within and beyond their own parameters and constraints in order to maintain Universal balance. A vibratory entanglement in response to observation and context. Each state of energy in motion embraces a meaning and a purpose, an identifiable set of qualities that together unite and circulate a vibratory message from within. Together creating a greater design in perpetual change and exchange.
circulate: communicate, disseminate, transmit, make known, air, broadcast, post, flow, spread.

A: transition, peace
B: justice, balance
C. joy, harmony
D. restoration, healing
E. love
F. beauty, illumination, creativity
G. protect natural world, nurturing
H. communications, messages
I. power, righteousness
J. mercy, forgiveness, compassion
K. enlightenment, wisdom
L. knowledge, knowing

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Attraction emerges by virtue of observation. Attraction (desire) is a felt experience typically weighed and rarely measured towards believing. Attraction's bedfellow is knowing by virtue of observation and experience. Without knowing, what is believed remains conceptual. Without believing, what is known has little meaning. What is of greatest importance is the awareness that both knowing and believing contain and sustain each other.

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"To believe is to accept another's truth.
To know is your own creation."
Anonymous


Edited: 04.12.2024, 04.27.2024, 04.29.2024
Find your truth. Know your mind. Follow your heart. Love eternal will not be denied. Discernment is an integral part of self-mastery. You may share this post on a non-commercial basis, the author and URL to be included. Please note … posts are continually being edited. All rights reserved. Copyright © 2024 C.G. Garant. AI usage is prohibited. 

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