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# geometry

## Latest Articles

### The Two Forms of Mathematical Beauty

Mathematicians typically appreciate either generic or exceptional beauty in their work, but one type is more useful in describing the universe.

### Mathematician Measures the Repulsive Force Within Polynomials

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart.

### John Conway Solved Mathematical Problems With His Bare Hands

The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.

### Mathematics as a Team Sport

When 50 mathematicians spend a week in the woods, there’s no telling what will happen. And that’s the point.

### What Is the Geometry of the Universe?

In our mind’s eye, the universe seems to go on forever. But using geometry we can explore a variety of three-dimensional shapes that offer alternatives to “ordinary” infinite space.

### Color-Changing Material Unites the Math and Physics of Knots

Mathematicians have studied knots for centuries, but a new material is showing why some knots are better than others.

### How Simple Math Can Cover Even the Most Complex Holes

No one knows how to find the smallest shape that can cover all other shapes of a certain width. But high school geometry is getting us closer to an answer.

### Mathematicians Cut Apart Shapes to Find Pieces of Equations

New work on the problem of “scissors congruence” explains when it’s possible to slice up one shape and reassemble it as another.

### With Category Theory, Mathematics Escapes From Equality

Two monumental works have led many mathematicians to avoid the equal sign. The process has not always gone smoothly.