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Abstractions blog

Illustration: boxing gloves
Abstractions blog

Graph Isomorphism Vanquished — Again

Just five days after posting a retraction, László Babai announced that he had fixed the error in his landmark graph isomorphism algorithm.

Hyperbolic Crochet
Abstractions blog

How Curvature Makes a Shape a Shape

The ancient study of an object’s curvature is guiding mathematicians toward a new understanding of simple equations.

Illustration: boxing glove & graph
Abstractions blog

Complexity Theory Problem Strikes Back

The legendary graph isomorphism problem may be harder than a 2015 result seemed to suggest.

Julia Set Contest
Abstractions blog

Test Your Mathematical Sculpting Skills

Can you turn a two-dimensional fractal into a 3-D object? Break out your scissors and tape for a chance to win a 3-D printed sculpture.

Abstractions blog

On the Moon’s Far Side, Clues to a Cataclysm?

A mission to collect samples from the far side of the moon could answer questions about a barrage of asteroids nearly 4 billion years ago.

Warped time. Olena Shmahalo/Quanta Magazine
Abstractions blog

Quantum Gravity’s Time Problem

The effort to unify quantum mechanics and general relativity means reconciling totally different notions of time.

LHC Collision Events - Visualization
Abstractions blog

The Math That’s Too Difficult for Physics

How do physicists reconstruct what really happened in a particle collision? Through calculations that are so challenging that, in some cases, they simply can’t be done. Yet.

Illustration by Lucy Reading-Ikkanda for Quanta Magazine
Abstractions blog

The Devil in the Polling Data

The same problem that caused the 2007 financial crisis also tripped up the polling data ahead of this year’s presidential election.

Neutron-scattering image of a “spin ice” material created in 2009 that contains particles analogous to magnetic monopoles.
Abstractions blog

Can Analogies Reveal the Laws of Physics?

So-called “analogue experiments” are becoming increasingly common in physics, but do they teach or mislead?