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→Illustrations and analogies: added illustrative analogy of stable platform on three legs standing on firm ground
An excellent [[Mathematics|mathematical]] illustration of the unity of the Trinity is the [[Geometry|geometrical]] form of the [[Triangle|triangular]] three-sided ''[[tetrahedron]]'', a [[Pyramid (geometry)|pyramidal]] construct of a single, indivisible point extending into three [[equilateral]] triangular faces simultaneously united to a single triangular base<ref>[https://www.mathsisfun.com/geometry/tetrahedron.html tetrahedron (mathsisfun.com)]</ref>. This is especially evident when an equilateral tetrahedron is made of flawless transparent [[crystal]]. Through any one face of the crystal form each of the other sides is clearly visible. Each of the faces is a distinctly different face (they cannot be the same face) but all of them have exactly the same shape, the same size, and the same substance. What is predicated of any one of them is predicated of each of them. A tetrahedral crystal displayed standing on the flat surface of the jeweler's counter or the shelf of a display case cannot exist without three faces inseparably existing as extending from the single, undivided point of one apex to the same undivided triangular base at its base or foundation on which it stands: a single crystal, not three, with three faces, not one.
An excellent [[Mathematics|mathematical]] illustration of the unity of the Trinity is the [[Geometry|geometrical]] form of the [[Triangle|triangular]] three-sided ''[[tetrahedron]]'', a [[Pyramid (geometry)|pyramidal]] construct of a single, indivisible point extending into three [[equilateral]] triangular faces simultaneously united to a single triangular base<ref>[https://www.mathsisfun.com/geometry/tetrahedron.html tetrahedron (mathsisfun.com)]</ref>. This is especially evident when an equilateral tetrahedron is made of flawless transparent [[crystal]]. Through any one face of the crystal form each of the other sides is clearly visible. Each of the faces is a distinctly different face (they cannot be the same face) but all of them have exactly the same shape, the same size, and the same substance. What is predicated of any one of them is predicated of each of them. A tetrahedral crystal displayed standing on the flat surface of the jeweler's counter or the shelf of a display case cannot exist without three faces inseparably existing as extending from the single, undivided point of one apex to the same undivided triangular base at its base or foundation on which it stands: a single crystal, not three, with three faces, not one.
And just as a tetrahedron has a stable vertical configuration because of its [[Triangle|triangular]] base, likewise, any large object, or sturdy, movable, stationary, horizontal supportive platform, which stands firmly on uneven, basically level ground, with an equilateral triangular base of three equidistant points of contact, legs or feet (where a [[square]] base of four equidistant points of contact with uneven ground can wobble or tilt), having a measurable height not more than its width, and an upper structure or surface not extending its outward edges beyond bounds more broad or extensive than its base, has the most stable physical configuration, with a stable center of gravity, and the most reliable safety for those on such a platform, who depend on its help to stand securely without any danger of falling.
Also, for any solid physical object to exist, it must have
Also, for any solid physical object to exist, it must have