Geometric relationships between circles and squares encode a mysterious order seen in the sizes and periods of Moon and Earth, in water, human biology, and beyond.

Scott and Geoff discuss the mysterious, nearly identical (99.9%) gap inherent to disparate phenomena including number in itself (pi, phi, and e), number in space (an almost Pythagorean triangle made of these constants), number in time (music theory of the Pythagorean comma) and number in spacetime (astronomical observations of Earth's relationship with the Sun) suggesting deep perfection underlying surface imperfection and unity in number.

Using two precise golden ratios, Michelangelo depicted not only the tension between the material body and transcendent soul, but by drawing a line between the physical eye and neuroanatomy of the third eye, he secretly encoded the timeless message that the divine is within us all.

By analyzing Leonardo da Vinci's St. John the Baptist aka Bacchus painting, Scott Onstott reveals its geometric template which adds a new layer of meaning to its interpretation as expressed by the Hermetic philosophy of 'As above so below.'

By taking the ratio of the size of all the planets in our solar system to the size of Earth, a pure mathematical constant emerges quite unexpectedly, with 99.99% accuracy.

The golden ratio and its reciprocal can be written in terms of mathematical operators applied to the numeral 5 alone. This is both surprising and beautiful as the golden ratio has deep connections with 5 sided shapes.

Venus and Earth trace out a beautiful pattern in the heavens as seen from both geocentric and heliocentric perspectives. We discuss this pattern and its mythological implications as well as an unexpected pattern which emerges by squaring the circle by area on Venus alone.

Geoff Fitzpatrick and Scott Onstott discuss the image of the Roman Pantheon Scott made showing John Michell's classic sacred geometry overlaid, clearly revealing a blueprint with ancient provenance, which encodes the true proportions of Earth, Moon, the Great Pyramid, and now the Pantheon.

Geoff Fitzpatrick and Scott Onstott discuss the image Scott made showing a geometric basis for the human subtle energy system starting with an equilateral triangle and moving up through square, pentagon, hexagon, heptagon, octagon, to nonagon.

Geoff Fitzpatrick and Scott Onstott discuss the images Scott made showing the geometry underlying the Forbidden City of Beijing, China. We see golden ratios, the Great Pyramid slope angle, the human body as master temple, and its energy centers represented by palaces, halls, and gates.