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mathematics

Art for "How Feynman Diagrams Revolutionized Physics"
sphere packing

Out of a Magic Math Function, One Solution to Rule Them All

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

Art for "The Subtle Art of the Mathematical Conjecture"
Quantized Columns

The Subtle Art of the Mathematical Conjecture

It’s an educated guess, not a proof. But a good conjecture will guide math forward, pointing the way into the mathematical unknown.

Art for "Universal Pattern Explains Why Materials Conduct"
mathematical physics

Universal Pattern Explains Why Materials Conduct

Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.

Art for "A New Approach to Multiplication Opens the Door to Better Quantum Computers"
Abstractions blog

A New Approach to Multiplication Opens the Door to Better Quantum Computers

Quantum computers can’t selectively forget information. A new algorithm for multiplication shows a way around that problem.

Art for "Math Puzzle: The Joy of Recursion"
insights puzzle

The Bulldogs That Bulldogs Fight

Solve a linguistic whodunit about a college mascot by thinking like a self-referencing computer subroutine.

Art for "Mathematicians Discover the Perfect Way to Multiply"
number theory

Mathematicians Discover the Perfect Way to Multiply

By chopping up large numbers into smaller ones, researchers have rewritten a fundamental mathematical speed limit.

Art for "Scientists Discover Exotic New Patterns of Synchronization"
patterns

Scientists Discover Exotic New Patterns of Synchronization

In a world seemingly filled with chaos, physicists have discovered new forms of synchronization and are learning how to predict and control them.

Art for "Usain Bolt’s Split Times and the Power of Calculus"
Quantized Columns

Usain Bolt’s Split Times and the Power of Calculus

Just how fast can the fastest human run? This adapted book excerpt from Infinite Powers reveals how calculus helps us investigate the nature of motion and change.

Art for "Cryptography That Can’t Be Hacked"
computer security

Cryptography That Can’t Be Hacked

Researchers have just released hacker-proof cryptographic code — programs with the same level of invincibility as a mathematical proof.