Difference between revisions of "Tetrahedron"
m (→Trinitarian analogy: minor expansion of analogy " to stand securely without any danger of falling ") |
m (→Trinitarian analogy: revised "smaller that its base" to "an operative surface not more broad or extensive than its base") |
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==Trinitarian analogy== | ==Trinitarian analogy== | ||
| − | An excellent mathematical illustration of the unity of the [[Trinity]] is the geometrical form of the triangular three-sided regular tetrahedron, an undivided pyramidal construct of a single, indivisible point extending into three joint equilateral triangular faces simultaneously united to a single triangular base. 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 situated on the surface or foundation on which it stands: a single crystal, not three, with three faces, not one. No matter how it is turned or rotated, it always looks the same and remains the same. Likewise, any large object, or sturdy, movable, stationary, horizontal supportive platform, which stands firmly on level ground with three points of contact, legs or feet, having a measurable height identical to its width, and | + | An excellent mathematical illustration of the unity of the [[Trinity]] is the geometrical form of the triangular three-sided regular tetrahedron, an undivided pyramidal construct of a single, indivisible point extending into three joint equilateral triangular faces simultaneously united to a single triangular base. 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 situated on the surface or foundation on which it stands: a single crystal, not three, with three faces, not one. No matter how it is turned or rotated, it always looks the same and remains the same. Likewise, any large object, or sturdy, movable, stationary, horizontal supportive platform, which stands firmly on level ground with three points of contact, legs or feet, having a measurable height identical to its width, and an operative surface not more broad or extensive than its base, has the most stable physical structure and base, with the lowest center of gravity, and the most reliable safety for those who depend on its help to stand securely without any danger of falling. |
==References== | ==References== | ||
{{Reflist}} | {{Reflist}} | ||
[[Category:Geometry]] | [[Category:Geometry]] | ||
Revision as of 17:45, June 16, 2019
A tetrahedron is a pyramidal polyhedral structure in which a triangular base is surmounted by three triangular sides which meet at a common apex. Of the five regular convex polyhedra known as the Platonic Solids, the tetrahedron has the fewest possible number of sides.
Geometry
The volume of a triangular-based pyramid:
V is the overall volume of a pyramid. B equals the area of the base, and h is the perpendicular height.[1][2][3]
Trinitarian analogy
An excellent mathematical illustration of the unity of the Trinity is the geometrical form of the triangular three-sided regular tetrahedron, an undivided pyramidal construct of a single, indivisible point extending into three joint equilateral triangular faces simultaneously united to a single triangular base. 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 situated on the surface or foundation on which it stands: a single crystal, not three, with three faces, not one. No matter how it is turned or rotated, it always looks the same and remains the same. Likewise, any large object, or sturdy, movable, stationary, horizontal supportive platform, which stands firmly on level ground with three points of contact, legs or feet, having a measurable height identical to its width, and an operative surface not more broad or extensive than its base, has the most stable physical structure and base, with the lowest center of gravity, and the most reliable safety for those who depend on its help to stand securely without any danger of falling.