Theorem 10. (Golden ratio in All-seeing-eye Pyramid)
The All-seeing-eye Pyramid reflects the golden ratio.
Image 42. Left: The All-seeing-eye Pyramid in the terms of Geometry. Right: The Pyramid in one-dollar bill
Let us have squares and circles as in Image 41. Next, we will apply two presumptions by NASA: 1) The Sun is approx. 400 times the size of the Moon, and 2) the Moon is 400 times closer to the Earth than the Sun (NASA, 2014). These two proportions creates for us, who gaze into space from the Earth, beautiful architectural harmony: the Moon and the Sun are equal in size. This is why we can replace the Moon with the Sun in Image 41.29 30
29 Image 42 demonstrates the lunar eclipse. Correspondingly, the solar eclipse is formed when the Moon is rotated 180° in front of the Sun.
30 In Image 42 is represented, visually, the harmony of these celestial bodies by separating Day and Night – the light and the darkness - above and below. In the language of symbolism, this same situation is described in ancient Egyptian literature, where the kingdom of darkness and death (Du’at) are below and the kingdom of gods and goddesses above.
As we see in Image 42, the height of the all-seeing-eye pyramid is 7. The height is divided into two parts, which are the radius of the Earth (5.5) and radius of the Moon (1.5). We proved in Theorem 3 that these two radiuses reflect the value (1 - √φ). Hereby, the theorem that the All-seeing-eye Pyramid reflects the golden ratio, is proved as a result of Theorem 3.