The formula for calculating the height or length of the sides of an equilateral tetrahedron is h(height)=(sqrt(6)/3)*s(length of side). For a tetrahedron of height 12, the length of the sides is 14.6969385, which is the square root of 216.
Synergetics

Comment There are perhaps many other numerical "coincidences" linking Synergetics with the number 432.

Comment - If these measurements were not as they are, we would not experience a total eclipse of the sun. These ratios and numbers, combined with the cycle of the Precession of the Equinoxes of the Earth at 25,920 years (60x432), form an astounding coincidence, at the very least. Despite popular opinion that there may be billions and billions of worlds in the Universe, the odds are billions and billions to one that any such ratios prevail anywhere else.

The elliptical three-body problem (a close binary and a nearby companion, three-dimensional case) has been examined to explain the nature of anomalies in apsidal motion of some close binary systems. Significant discrepancy between the observed and theoretical apsidal motion of DI Herculis possibly results from binary orbit perturbations due to the presence of a third body.
Di Herculis

Comment - One verified exception is sufficient to disprove a supposedly universally applicable theorem.

Comment - The correspondence between the ancient Egyptian inch and the English foot explains why measurements in feet, rather than some other unit such as meters, reveal the cosmic geometry symbolized by the number 432. Egyptian measurement units were clearly based on a deep understanding of astronomy, geophysics, and mathematical relationships. There are numerous examples supporting this view. See, for example, Height Ratio of the Great Pyramid.

Comment - This may be one of the reasons why the number 60 is so common in metrology. It also gives humans a special relationship to the cosmos, in the sense that it links a fundamental physiological property of the human species to the cosmic geometry symbolized by the number 432.

Comment - Civilized Egyptians were considering the nature of the cosmos for going on 5,000 years before the pyramid was built. Our own technical civilization started around the period of the Industrial Revolution, 150 to 200 years ago; and is not focused, by and large, on inquiries into cosmic geometry. The Great Pyramid was clearly designed to embody ages of knowledge of cosmic and mathematical proportion in a single sacred structure that would last for all time. A key number embodied in this structure is 432.

Comment - This is either an extraordinary coincidence; or the originators of Stonehenge knew a lot more about astronomy, geophysics, and geometry than they've been given credit for. It was the Greek astronomer Hipparchos (ca. 190 - 125 B.C.) who is credited with covering the sphere of the earth with meridians and parallels. Following the Babylonian method of dividing circles and angles according to the sexagesimal system he created a grid of 360 lines running from the North to the South Pole and 180 lines running parallel to the equator. All this was done, however, thousands of years after the building of Stonehenge.

Comment - In 14,000 A.D. Vega, not Polaris, will be the "North Star".

"From the third to sixth round of experiments, there were a total of 32 emissions for the four rounds. The emissions were carried out while Yan Xin was conducting qi emitting lectures in the cities of Shenzhen, Guangzhou, Chengdu, and Kunming. The time for each qi emission was scheduled by telephone in advance."

Comment - 'Qi' is a Chinese character meaning, literally air, and represents the flowing energy that exists in everything and permeates the universe. "Gong" is another Chinese character signifying the method or practice of understanding or utilizing this energy. Dr. Yan Xin, a Chinese Qi master, has conducted several scientific experiments to verify the effect of Qigong practice on physical processes, including supposedly stable radioactive decay rates (see above). The "emissions" of Qi by Dr. Yan Xin, often from a distance, are apparently correlated with measurable changes to physical processes. Our immediate interest here is on a significant point not obvious in the above referenced articles, namely, that the "emissions" are evidently conducted in sets or rounds, "..32 emissions for the four rounds," etc. The practical practice of mind over matter may depend on an understanding of the Cosmic Key: 432.

Comment - Sound waves need some type of matter as a carrier. Their speed is affected by the density and temperature of the substance through which they travel. At higher temperatures the speed of sound increases. This particular measurement (3 x 432), ties a primary property of stone to the cosmic geometry symbolized by the number 432. Coupled with the known power of acoustics to modify the physical properties of substances (see, for example acoustic fluidization), this measurement suggests intriguing links between sound, stones, and the number 432. This is of particular interest given the widespread legends and mystery concerning the methods used to construct ancient cyclopean megaliths, in which the acoustic levitation of stones by trumpets, lyres, whistles or songs is often asserted.

The Egyptian sacred pyramid inch is .0011 inches longer than our inch. 186,291 (accepted speed of light) x 1.0011 = 186496 or 99.931429 percent of 186,624. The speed of light, if calculated using the slightly longer sacred pyramid inch, is extraordinarily close to the square of 432.

Comment - Presume for a moment that you do not know the speed of light, but are aware of the equation E=mc2. An intuitive scientist who substituted the number 432 for "c" in the equation would be very close, if not precise, in the determination of this universal constant, that is, E=m(432)4. This illustrates the important concept of "reverse engineering" to find unknown quantities and constants by use of the cosmic number 432 and its multiples and divisors.