Friday, August 22, 2025

Sixth Busy Beaver Number Is Too Big for Standard Math

Math and Science News from Quanta Magazine
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TURING MACHINES | ALL TOPICS
 

Busy Beaver Hunters Reach Numbers That Overwhelm Ordinary Math

By BEN BRUBAKER

The quest to find the longest-running simple computer program has identified a new champion. It's physically impossible to write out the numbers involved using standard mathematical notation.

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MATERIALS SCIENCE
 

Quasicrystals Spill Secrets of Their Formation

By PATCHEN BARSS

New studies of the 'platypus of materials' help explain how their atoms arrange themselves into orderly, but nonrepeating, patterns.

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Q&A
 

The Pursuit of Life Where It Seems Unimaginable

By LAURA POPPICK

Karen Lloyd studies how single-celled microbes living beneath the seafloor can survive in Earth's crust, possibly for hundreds or thousands of years.

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THE JOY OF WHY
 

Do Beautiful Birds Have an Evolutionary Advantage?

Podcast co-hosted by JANNA LEVIN
and STEVEN STROGATZ

Richard Prum explains why he thinks feathers and vibrant traits in birds evolved not solely for survival, but also through aesthetic choice.

Listen (Apple) | Listen (Spotify)

Read the transcript

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