Friday, October 30, 2026

How voting is like a Klein bottle

Math and Science News from Quanta Magazine
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TOPOLOGY | ALL TOPICS
 

How Voting Is Like a Klein Bottle

By ALEX STONE

A new topological model connects a centuries-old voting paradox to a surface with no distinct inside or outside.

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MATERIALS SCIENCE
 

How Spiders Spin ‘Silk Dope’ Into Nature’s Toughest Material

By YASEMIN SAPLAKOGLU

By probing its molecular structure, biologists are uncovering how a tangle of unstructured proteins turns into a strong, flexible fiber.

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ASTRONOMY
 

A New Map of 'Empty' Space Challenges a Tranquil Picture of the Galaxy

By PERRI THALER

A wave of 3D mapping is bringing the interstellar medium’s dynamic nature into focus.

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TRANSFORMATION
 

OpenAI releases three landmark results in math, physics, and computer science

By KONSTANTIN KAKAES

OpenAI announced that an advanced AI model had solved three major problems. Their claims: a proof of the local smoothing conjecture, a disproof of the exponential time hypothesis, and a proof that quantum field theories are consistent. On the advice of experts, these results were released in very different ways.

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THE JOY OF WHY
 

How Do You Take a Picture of a Black Hole?

Podcast hosted by JANNA LEVIN
with SHEP DOELEMAN

Hear the inside story behind the first-ever image of a black hole — and why it was one around 55 million light years away rather than the one at the center of our own galaxy.

Listen (Apple) | Listen (Spotify)

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THE QUANTA PODCAST
 

Malaria Parasite Caught in the Act of Breaking and Entering

Podcast hosted by SAMIR PATEL
with JOANNA THOMPSON

To invade red blood cells, the deadly protists create temporary molecular portals that disappear behind them — doors we can now see in fine detail.

Listen (Apple) | Listen (Spotify)

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Scientist Pankaj

How voting is like a Klein bottle

How spiders spin 'silk dope'; 3D maps reveal the interstellar medium’s dynamic nature; more in AI math news; new podcast episodes ...