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Geometry

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How Isaac Newton Discovered the Binomial Power Series

August 31, 2022

Rethinking questions and chasing patterns led Newton to find the connection between curves and infinite sums.

Old Problem About Mathematical Curves Falls to Young Couple

August 25, 2022

Eric Larson and Isabel Vogt have solved the interpolation problem — a centuries-old question about some of the most basic objects in geometry. Some credit goes to the chalkboard in their living room.

A Question About a Rotating Line Helps Reveal What Makes Real Numbers Special

July 26, 2022

The Kakeya conjecture predicts how much room you need to point a line in every direction. In one number system after another — with one important exception — mathematicians have been proving it true.

He Dropped Out to Become a Poet. Now He’s Won a Fields Medal.

July 5, 2022

June Huh wasn’t interested in mathematics until a chance encounter during his sixth year of college. Now his profound insights connecting combinatorics and geometry have led to math’s highest honor.

In Times of Scarcity, War and Peace, a Ukrainian Finds the Magic in Math

July 5, 2022

With her homeland mired in war, the sphere-packing number theorist Maryna Viazovska has become the second woman to win a Fields Medal in the award’s 86-year history.

The Sordid Past of the Cubic Formula

June 30, 2022

The quest to solve cubic equations led to duels, betrayals — and modern mathematics.

Surfaces So Different Even a Fourth Dimension Can’t Make Them the Same

June 16, 2022

For decades mathematicians have searched for a specific pair of surfaces that can’t be transformed into each other in four-dimensional space. Now they’ve found them.

Surfaces Beyond Imagination Are Discovered After Decades-Long Search

June 2, 2022

Using ideas borrowed from graph theory, two mathematicians have shown that extremely complex surfaces are easy to traverse.

Father-Son Team Solves Geometry Problem With Infinite Folds

April 4, 2022

The result could help researchers answer a larger question about flattening objects from the fourth dimension to the third dimension.

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