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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.
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.
Universal Pattern Explains Why Materials Conduct
Mathematicians have found that materials conduct electricity when electrons follow a universal mathematical pattern.
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.
The Bulldogs That Bulldogs Fight
Solve a linguistic whodunit about a college mascot by thinking like a self-referencing computer subroutine.
Mathematicians Discover the Perfect Way to Multiply
By chopping up large numbers into smaller ones, researchers have rewritten a fundamental mathematical speed limit.
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.
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.
Cryptography That Is Provably Secure
Researchers have just released hacker-proof cryptographic code — programs with the same level of invincibility as a mathematical proof.