Geometer's Compass

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 uncanny correlations between the number 6 and deep structures of the Earth from sizes of continents to the planet's orbital velocity, tilt angle, and in systems of measure.

Geoff Fitzpatrick and Scott Onstott discuss the image Scott made showing a cascading series of golden rectangles correlating with both natural and cultural evolution.

Geoff Fitzpatrick and Scott Onstott discuss the image Scott made showing a Kepler triangle, featuring golden ratio proportions, encoding the size of the Earth and Moon with 99.9% accuracy. In addition, the geometry also "squares the circle" by lengths.

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 of molecules Scott made showing similarities between caffeine, theobromine, adenine, dmt, serotonin, and melatonin molecules based on the geometry of a hexagon bonded to a pentagon.

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.

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.

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.

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.

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.'

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.

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.

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.

Geoff recounts his real life story about the dodecahedron, phi, and synchronicity. We discuss the sum of the angles of the regular polyhedra and two methods encoding the diameter of the Earth in miles from the Platonic solids.

We discuss the geometry underlying Leonardo da Vinci's La Belle Ferroniere and the hidden messages relating to both physical eyes and subtle vision. Scott explains how he believes Leonardo dressed science with art, a potent combination which moves us centuries later.

Scott and Geoff discuss the geometry underlying Salvador Dali's Sacrament of the Last Supper (1955) and how Dali must have learned Leonardo da Vinci's secret geometry and encoded it into his version of the biblical scene in a way that uplifts the savvy viewer into higher realms.

Could the speed of light actually be encoded in the Great Pyramid using the metric system? It seems fanciful until we realize that the metric system itself was defined by applying base 10 to the meridian circumference of the Earth, a system which might have been merely rediscovered at the end of the 18th century.

Geoff Fitzpatrick and Scott Onstott discuss the image comparing John Michell's cosmological diagram with the Dendera zodiac in Egypt. The uncanny geometric resonances suggest this diagram is ancient and has only recently been rediscovered.

Geoff Fitzpatrick and Scott Onstott discuss the image comparing the magnetic fields of the human heart and the earth. We also talk about the linguistic similarity by transposing one letter between "heart" and "earth."