Consider what happens when a vertex of one tetrahedron pierces the face of a second tetrahedron to form a new, more complicated polyhedron. In the resulting geometric form, one triangular face has a ...

Combinatorial geometry, an area intertwining discrete mathematics and geometry, investigates the structure, properties and interrelations of polytopes—multidimensional generalisations of polygons and ...

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Until today, scientists only knew of three classes of 3 dimensional solids. Now they’ve got a fourth. This new flavor of shapes are called Goldberg polyhedrons, and they are the first new class of ...

This media is in the public domain (free of copyright restrictions). You can copy, modify, and distribute this work without contacting the Smithsonian. For more information, visit the Smithsonian's ...

I’ve always loved stargazing. As I write this in late June 2015, it’s rainy season here in Japan—but if the clouds ever part during the evening hours, you’re sure to catch twinkling Venus and nearby ...