What is this website all about? It is pointing to a science of the future. A science that studies the objective structure of a manifested form and explores the form’s basic intention. This site provides only one example of how this can come about. Frank is an artist, sculptor and geometrician who lives in San Francisco. He has taught art for more than thirty years in high schools and colleges. Since encountering the work of Rudolf Steiner, Frank has been exploring the relation between form and spirit. This has led him to take up research concerning the number seven, and in 2000 he discovered a new geometric form never seen before. Putting this form through the alchemical transformative process of Earth, Water, Air, and Fire, many previously unknown geometric structures have emerged. Also this geometric form demonstrates a remarkable correlation to the form and functioning of the human heart. On the basis of experimentation with various related geometric forms and the movement of water in a vortex, Frank is uncovering indications concerning the relationship between etheric formative forces and the geometry, structure, and physiology of the human heart. Thus the form is called the Chestahedron, both after its discoverer and because the form relates to the geometry of the heart, which sits in the chest.

For the last several years he has been teaching sacred geometry at the Waldorf teacher training program in San Francisco. He has been presenting his research at international conferences and Waldorf schools in the United States and Europe.

Why was the Chestahedron not found before? People have been working with Platonic solids for thousands of years, including such great figures as Pythagoras, Plato, Kepler, Da Vinci, and many others. As in the past and up to this day, all studies of transforming Platonic solids have been based upon pressure/contraction. This approach utilizes truncations, which refers to cutting off or pushing existing corners flat in order to change a form. Frank’s approach to studying Platonic solids was not transforming them externally by contraction but internally by expansion. Platonic forms were never solid to Frank, but open and hollow. Placing a small Tetrahedron inside a larger Tetrahedron, twice its size, and moving the smaller form produces the Chestahedron, something of which the world has never seen before in the long history of form studies. Surprisingly, the Chestahedron can show an internal transformation moving in two opposite directions at the same time. These motions, when related to physiology, provide a picture of how the human heart is formed out of two opposite moving vortexes: the blood. Thus, there is a design concept behind the geometry connected with the human heart. The heart is working not simply through the utilization of pressure (pumping) but by suction (breaking) arising when two vortexes entwine together from opposite directions. As amazing as the above findings are, it does not explain how the Chestahedron was originally discovered. All the five Platonic forms have an even number of faces, but the Chestahedron has an odd number of faces with equal surface areas, making it difficult to discover even with today’s technology. That is why a heptahedron with equal surface areas like the Chestahedron was not discovered before. Frank used a mathematical approach first but couldn’t make it work — the form eluded him. He encountered an obstacle with odd numbers, which mathematics in the past could not overcome. To solve this problem Frank used his background as an artist and developed an artistic procedure specifically designed for new form research. His background as a trained and working artist has allowed him to develop flexibility in thinking, intuition and creativity. Moving from objective, mathematical approaches to artistic approaches and back engendered a creative tension that kept the research from becoming either too constricted or too loose. The result was that Frank was able not only to discover the Chestahedron and myriad related forms, but has been able to slowly uncover their significance, bringing to the world an extension and furtherance of principles of sacred geometry and the mysterious relationship between form and spirit.

This website has benefited from the time, skills, and support of many individuals. Thanks to them it has been possible to present Frank’s work to a wider audience, with the hope that his efforts will inspire others.