the heart of Studio Infinity, MakeStream articles show structures – and frequently how to make them – that exhibit interesting design ideas, often inspired by mathematics.
OK, so now we are going to try to force a tensegrity structure to take on the shape of a truly regular icosahedron. But we don’t have to search blindly for a way; we are armed with the results of this MathStream post about how to do it.
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Studio Infinity is kicking off with a group of articles that feature the concept of tensegrity. What does that mean?
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Here’s a closeup of some snub dodecahedra that students built as part of a group construction I led at The College of New Jersey in July of 2017. They are each approximately 80cm in diameter.
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Here are two large-scale group constructions I facilitated the construction of as part of a session at a 2017 MAA Spring Sectional meeting at Frostburg University. The first is the one I have dubbed the “Octahex Ring” — it’s a compound of a dozen octahedra:
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Here’s an installation I designed for the National Museum of Mathematics for the 2016 USA Science and Engineering Festival in Washington DC. The only construction materials are dowels, off-the-shelf end caps, and zip ties. It’s not actually a fully elevated icosidodecahedron; only the pentagonal faces are elevated.
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A picture from the top of the Flatiron Building in Manhattan, NY of an installation I designed for the National Museum of Mathematics for an observation of the winter solstice. It was geometrically appropriate, in a way, because the highest angle the sun reaches in the sky on the winter solstice is quite close to the vertex angle of the regular heptagram approximated by the arrangement of lights in the photo.
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