.
"The tetrahedron is very exciting visually,
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," Silverman says. "It's very difficult to anticipate what you are going to see. Every step around a piece gives you a different view."
We're accustomed to thinking about orientation in space in terms of three perpendicular axes. A tetrahedron has no right angles. So, a tetrahedral structure jars us out of spatial complacency. It has so few faces,
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, its aspect changes abruptly as you move around to view it from different angles.
Until age 50,
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, Silverman had been a highly successful surgeon, practicing medicine with considerable enthusiasm and skill. Then he encountered an ailing colleague near death,
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, who advised Silverman that if there were anything he might really want to do, then he ought to do it right away, before the chance slips away.
The encounter changed Silverman's life. He returned to interests that had captured his attention when he was a teenager. He had visited museums to gaze at statues, and he had tried his hand at carving wood. Later, when studying medicine at Tulane University, he had met a sculpture teacher who had invited him to classes and taught him to see,
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, in the artistic sense.
During these early explorations,
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, Silverman had discovered the wonders of the tetrahedron,
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, the form to which he returned with a passion many years later.
"When I first encountered tetrahedra, I was immediately fascinated by the notion of using these forms as basic building blocks for three-dimensional designs," Silverman recalls.
Over the years, Silverman has

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