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mathematics

An illustration of eyeballs connected to many hands painting the Mona Lisa.
mathematical biology

A Mathematical Model Unlocks the Secrets of Vision

August 21, 2019

Mathematicians and neuroscientists have created the first anatomically accurate model that explains how vision is possible.

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insights puzzle

The Puzzling Search for Perfect Randomness

August 20, 2019

Does objective, perfect randomness exist, or is randomness merely a product of our ignorance?

A dartboard with pi at its center.
number theory

New Proof Settles How to Approximate Numbers Like Pi

August 14, 2019

The ancient Greeks wondered when “irrational” numbers can be approximated by fractions. By proving the longstanding Duffin-Schaeffer conjecture, two mathematicians have provided a complete answer.

Art for "Color Me Polynomial"
Quantized Academy

Color Me Polynomial

August 13, 2019

Polynomials aren’t just exercises in abstraction. They’re good at illuminating structure in surprising places.

insights puzzle

Solution: Magic Moiré in Twisted Graphene

July 26, 2019

Answering these simple questions can give you an intuitive feel for the geometric properties behind the emergence of superconductivity in rotated graphene sheets.

combinatorics

Decades-Old Computer Science Conjecture Solved in Two Pages

July 25, 2019

The “sensitivity” conjecture stumped many top computer scientists, yet the new proof is so simple that one researcher summed it up in a single tweet.

Abstractions blog

Quantum Supremacy Is Coming: Here’s What You Should Know

July 18, 2019

Researchers are getting close to building a quantum computer that can perform tasks a classical computer can’t. Here’s what the milestone will mean.

Abstractions blog

How Randomness Can Make Math Easier

July 9, 2019

Randomness would seem to make a mathematical statement harder to prove. In fact, it often does the opposite.

geometry

Random Surfaces Hide an Intricate Order

July 2, 2019

Mathematicians have proved that a random process applied to a random surface will yield consistent patterns.