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Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?
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The (Math) Problem With Pentagons

Triangles fit effortlessly together, as do squares. When it comes to pentagons, what gives?

To discover our species’ deep history and to shape its future health, we should learn from the microbes that accompanied us on our evolutionary journey.
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What Bacteria Can Tell Us About Human Evolution

To discover our species’ deep history and to shape its future health, we should learn from the microbes that accompanied us on our evolutionary journey.

If you didn’t get a flu shot, you are endangering more than just your own health. Calculations of herd immunity against common diseases don’t make exceptions.
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The Unforgiving Math That Stops Epidemics

If you didn’t get a flu shot, you are endangering more than just your own health. Calculations of herd immunity against common diseases don’t make exceptions.

Simple math can help scheming politicians manipulate district maps and cruise to victory. But it can also help identify and fix the problem.
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The Math Behind Gerrymandering and Wasted Votes

Simple math can help scheming politicians manipulate district maps and cruise to victory. But it can also help identify and fix the problem.

Every exquisite drawing by Santiago Ramón y Cajal, the founder of modern neuroscience, is marred by a curious mark. Here is the little-known story behind it.
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Why the First Drawings of Neurons Were Defaced

Every exquisite drawing by Santiago Ramón y Cajal, the founder of modern neuroscience, is marred by a curious mark. Here is the little-known story behind it.

Reductionism breaks the world into elementary building blocks. Emergence finds the simple laws that arise out of complexity. These two complementary ways of viewing the universe come together in modern theories of quantum gravity.
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To Solve the Biggest Mystery in Physics, Join Two Kinds of Law

Reductionism breaks the world into elementary building blocks. Emergence finds the simple laws that arise out of complexity. These two complementary ways of viewing the universe come together in modern theories of quantum gravity.

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape.
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Symmetry, Algebra and the Monster

To begin to understand what mathematicians and physicists see in the abstract structures of symmetries, let’s start with a familiar shape.

After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.
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The Beautiful Mathematical Explorations of Maryam Mirzakhani

After her untimely death, Maryam Mirzakhani’s life is best remembered through her work.

In order to fully understand the quantum world, we may have to develop a new realm of mathematics.
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Quantum Questions Inspire New Math

In order to fully understand the quantum world, we may have to develop a new realm of mathematics.

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A regular column in which top researchers explore the process of discovery.