PHI TRIANGLE: Divine Triangle 108 Degrees
There exists another sacred Triangle adored by the Pythagoreans. It is an Isosceles Triangle, with a top obtuse angle (more than 90 degrees) of 108 degrees, and its 2 base angles are 36 degrees. When we attribute the 2 shorter and equal sides to be set at 1 unit, then the longer line or base is 1.618… or Phi. It can also be constructed or extracted from the Golden Rectangle by using 2 simple arcs.
The Pythagoreans had a secret based on this Divine Triangle, that 3 of these Divine Triangles, when laid out in a specific manner, creates the Pentagram! Students 2,500 years ago were given this puzzle, how the Trinity of 3 triangles could create 5-ness: the Pentacle. For this reason, the Pentagram has always been referred to as the “Triple Triangle”. To understand this, you need to see it laid out on the video I have made.
Of interest, is the measurement of the base, when we let the two sides equal not 1 as before, but let the two sides = Phi, gives a base measurement of 1 + Phi which is surprisingly Phi Squared or 2.618… Further subdivision of this Golden Phi Isosceles Triangle shows self-similar triangles, all with apices (plural of apex) of 108 degrees, all sub-divisions can either get smaller and smaller, or larger and larger, suggesting it has Fractal properties, in the sense that the inside is the same as the outside. This is the Magic of Phi, it is unlimited, infinite and timeless.