Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly reflecting shapes to tile a surface, researchers uncovered a method that links ...

1. Introduction The Clay Mathematics Institute's Millennium Prize Problems represent seven of the most profound unsolved questions in mathematics [1]. Traditional approaches have treated these ...

This work introduces a new family of strain tensors based on the hyperbolic sine function: The Generalized Hyperbolic Sine (GHS). This family is obtained by using any given strain measure as an ...

I have had a fascinating few months. “Abundance,” the book I wrote with Derek Thompson, is either going to save the Democratic Party or destroy it. You think I’m kidding. Here’s The Wall Street ...

Gravitational lensing is the phenomenon of light bending around massive objects along curves in space-time, a major conclusion of the general theory of relativity. Typically a thorough working ...

Ask the publishers to restore access to 500,000+ books. A line drawing of the Internet Archive headquarters building façade. An illustration of a heart shape "Donate to the archive" An illustration of ...

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We should pull out the ring generation into a separate function or file, and maybe pull Point into a separate file as well.