https://web.archive.org/web/20230228225634/https://twitter.com/johncarlosbaez/status/771588998267412480

Check out Cayley's nodal cubic surface: http://blogs.ams.org/visualinsight/2016/08/15/cayleys-nodal-cubic-surface/ pic.twitter.com/g6PXhkJR5h

https://web.archive.org/web/20230228123150/https://twitter.com/johncarlosbaez/status/771599742732148737

Large countable ordinals are cool - start here and read all 3 parts: https://johncarlosbaez.wordpress.com/2016/06/29/large-countable-ordinals-part-1/ pic.twitter.com/6PNZOtlCAv

https://web.archive.org/web/20230301004817/https://twitter.com/johncarlosbaez/status/771610185370525697

Greg Egan has solved a problem connecting quintics and the icosahedron! Check it out: http://tinyurl.com/quintic-icosahedron pic.twitter.com/AObX0TZCkt

https://web.archive.org/web/20230227172641/https://twitter.com/johncarlosbaez/status/771611629389615104

https://web.archive.org/web/20230228130711/https://twitter.com/johncarlosbaez/status/771855088184733696

https://web.archive.org/web/20230301004702/https://twitter.com/johncarlosbaez/status/771920839113662464

https://web.archive.org/web/20230227164527/https://twitter.com/johncarlosbaez/status/772250099531472898

In Newtonian gravity, five particles can shoot to infinity in a finite amount of time! http://tinyurl.com/jcb-continuum-1 pic.twitter.com/TSKyyR1gPr

https://web.archive.org/web/20230228120201/https://twitter.com/johncarlosbaez/status/772250867563061248

https://web.archive.org/web/20230227171440/https://twitter.com/johncarlosbaez/status/772596742365679616

Why don't atoms collapse? With an inverse cube force law, they would! Learn more here: http://tinyurl.com/jcb-continuum-2 pic.twitter.com/jZMNnerA1b

https://web.archive.org/web/20230227122731/https://twitter.com/johncarlosbaez/status/772614854209253376

So hot that rocks boil, this planet with a 16-hour year is disintegrating as we watch - http://tinyurl.com/disintegrating-planet pic.twitter.com/5TOwLrNyrf

https://web.archive.org/web/20230227172611/https://twitter.com/johncarlosbaez/status/772974687991107586

Orbiting a black hole's "photon sphere", it occupies half your sky like this. Learn more: http://tinyurl.com/photon-sphere pic.twitter.com/JUMqfiHbl2

https://web.archive.org/web/20230301113606/https://twitter.com/johncarlosbaez/status/773401581253455872

A charged point particle can suck energy from its field and zip off to infinity! Nasty! http://tinyurl.com/jcb-continuum-3 pic.twitter.com/JK07QCQ70g

https://web.archive.org/web/20230227170530/https://twitter.com/johncarlosbaez/status/773794616940171264

I know a theorem whose proof doesn't fit into the observable universe! Learn it here: http://wp.me/pRBZ9-3id pic.twitter.com/aVcwzORym5

https://web.archive.org/web/20230227180514/https://twitter.com/johncarlosbaez/status/774126044676657152

Quantum fields saved us from the ultraviolet paradox, but they bring their own trouble! http://tinyurl.com/jcb-continuum-4 pic.twitter.com/L24gNxK1dW

https://web.archive.org/web/20230228115835/https://twitter.com/johncarlosbaez/status/774409957491953664

A chimera is an animal with two different sets of genes. Meet Venus, the chimera cat! http://tinyurl.com/gvaa6ld pic.twitter.com/m0M8mVtJJK

https://web.archive.org/web/20230227155728/https://twitter.com/johncarlosbaez/status/774863414833270784

Andrew Hamilton shows us what it's like to orbit a black hole at almost the speed of light! http://tinyurl.com/photon-sphere-2 pic.twitter.com/CjyMrYl4DL

https://web.archive.org/web/20230227164544/https://twitter.com/johncarlosbaez/status/775244458174451712

Virtual particles create infinities unless we renormalize. Learn how it works! http://tinyurl.com/jcb-continuum-5 pic.twitter.com/RDHAMeE9EC

https://web.archive.org/web/20230227172636/https://twitter.com/johncarlosbaez/status/775499293775900672

https://web.archive.org/web/20230227160826/https://twitter.com/johncarlosbaez/status/775847737292042240

Top cybersecurity expert: "Someone is learning how to take down the internet". Read this! http://tinyurl.com/jmpzrp3 pic.twitter.com/IJyRRGaypO

https://web.archive.org/web/20230227170504/https://twitter.com/johncarlosbaez/status/776269956719648768

https://web.archive.org/web/20230227162556/https://twitter.com/johncarlosbaez/status/776272245664550912

Learn about Togliatti's quintic surface: http://blogs.ams.org/visualinsight/2016/09/15/togliatti-quintic-surface/ pic.twitter.com/MQ9b3LXNFY

https://web.archive.org/web/20230227151205/https://twitter.com/johncarlosbaez/status/776614851644829697

Leo Stein's webpage lets you play with photons orbiting a rotating black hole! See http://tinyurl.com/kerr-photon pic.twitter.com/A0FNzduIOC

https://web.archive.org/web/20230228134447/https://twitter.com/johncarlosbaez/status/776978088903094272

https://web.archive.org/web/20230301014613/https://twitter.com/johncarlosbaez/status/777550936453492736

Barth's sextic surface has 65 "double points". Learn more here: http://blogs.ams.org/visualinsight/2016/04/15/barth-sextic/ pic.twitter.com/0QpIl5sBBt

https://web.archive.org/web/20230227172545/https://twitter.com/johncarlosbaez/status/777923737488269312

In 1639, at age sixteen, Pascal proved G,H,K always lie on a line - no matter where A,B,C,D,E,F lie on the ellipse. http://tinyurl.com/mystic-hexagram pic.twitter.com/OKpU3gbWHY

https://web.archive.org/web/20230227154929/https://twitter.com/johncarlosbaez/status/778302565465206784

Learn how Penrose diagrams work! They're the best way to understand black holes. http://tinyurl.com/schwarzschild-black-hole pic.twitter.com/nsrEHK8vJI

https://web.archive.org/web/20230228123106/https://twitter.com/johncarlosbaez/status/778619555430096896

Stuff can fall into a black hole, but - in theory! - it could fall out of a white hole. Learn more: http://tinyurl.com/white-hole-penrose pic.twitter.com/DzTfQZSqZe

https://web.archive.org/web/20230227180534/https://twitter.com/johncarlosbaez/status/778978093738242048

https://web.archive.org/web/20230301004833/https://twitter.com/johncarlosbaez/status/779017712886435840

The hottest known planet: its atmosphere contains vaporized titanium dioxide, and its "year" is 30 hours long! http://tinyurl.com/WASP-33b pic.twitter.com/lVixkAkJU3

https://web.archive.org/web/20230227174843/https://twitter.com/johncarlosbaez/status/779412732491640833

A great free children's book about infinity - "Life on the Infinite Farm", by Richard Evan Schwartz. http://tinyurl.com/infinite-farm pic.twitter.com/lPVczbJ6EK

https://web.archive.org/web/20230228235132/https://twitter.com/johncarlosbaez/status/779415717057658880

The sums over Feynman diagrams in QED probably diverge - because electrons with imaginary charge would attract! http://tinyurl.com/jcb-continuum-6 pic.twitter.com/MivMKIbCfA

https://web.archive.org/web/20230224140917/https://twitter.com/johncarlosbaez/status/779817867420151808

Two NASA satellites are making movies of the solar wind. But what is the solar wind made of, and what's it like? http://tinyurl.com/jy8nj32 pic.twitter.com/dwv4R9c2g1

https://web.archive.org/web/20230301113427/https://twitter.com/johncarlosbaez/status/780170028494704640

The "Labs septic" has the most double points of any surface of degree 7- as far as we know! http://blogs.ams.org/visualinsight/2016/07/15/labs-septic/ pic.twitter.com/5Yfs1LeQhu

https://web.archive.org/web/20230227164106/https://twitter.com/johncarlosbaez/status/780457771439226880

A cubical lattice of points, as shown on "Charlie's daily sketches". Learn what's really going on here: http://tinyurl.com/3d-lattice pic.twitter.com/QKdeM972B0

https://web.archive.org/web/20230227174801/https://twitter.com/johncarlosbaez/status/780823145578061824

There's an "exotic atom" that's 1/9th as heavy as hydrogen, but otherwise chemically similar. Learn more: http://tinyurl.com/light-hydrogen pic.twitter.com/wlZCAfDUaj

https://web.archive.org/web/20230228120159/https://twitter.com/johncarlosbaez/status/781154906870681600

In general relativity the disastrous breakdown of spacetime is inevitable, thanks to the singularity theorems: http://tinyurl.com/jcb-continuum-7 pic.twitter.com/O4SMTKQ31a

https://web.archive.org/web/20230301004826/https://twitter.com/johncarlosbaez/status/781553037093376000

Besides light hydrogen, you can also make tiny atoms like hydrogen - but 1/186 times as big across! http://tinyurl.com/tiny-hydrogen pic.twitter.com/HR7TKlYEaR

https://web.archive.org/web/20230228232114/https://twitter.com/johncarlosbaez/status/781962236747067393

For the most double points on a surface of degree 8, you want the "Endrass octics". Learn more: http://blogs.ams.org/visualinsight/2016/08/01/endrass-octic/ pic.twitter.com/yv8Rzxkxw4

https://web.archive.org/web/20230228113428/https://twitter.com/johncarlosbaez/status/782270340269432832

Gluons hold quarks together in a proton - but you can also make a particle with just gluons: a "glueball". http://tinyurl.com/gwj9jxs pic.twitter.com/q7C4PoF3Cu

https://web.archive.org/web/20230227150718/https://twitter.com/johncarlosbaez/status/782619649972154368

Iron pyrite can form a "pseudoicosahedron"- using Fibonacci numbers to approximate the golden ratio! http://math.ucr.edu/home/baez/golden.html pic.twitter.com/91NjK52dfW

https://web.archive.org/web/20230227154435/https://twitter.com/johncarlosbaez/status/783048122024943616

You can store about 10^124 bits of information in the observable universe. Alas, it would then be a black hole. http://tinyurl.com/bits-in-universe pic.twitter.com/EfTFoj3WVp

https://web.archive.org/web/20230227162448/https://twitter.com/johncarlosbaez/status/783398923339636736

I got a grant from DARPA to use fancy math - categories and "operads" - to design complex adaptive systems. More at http://tinyurl.com/complex-adaptive-1 pic.twitter.com/lHLBkl9fWX

https://web.archive.org/web/20230227122704/https://twitter.com/johncarlosbaez/status/783699593200476160

On Mars, an asteroid impact can cause a flood! Learn more about how and where these riverbeds formed: http://tinyurl.com/mars-flood pic.twitter.com/DDikOiRQ6g

https://web.archive.org/web/20230227145121/https://twitter.com/johncarlosbaez/status/784193429387423744

The mathematical structure of a diamond is more beautiful than a diamond - and it's even better in 8 dimensions! http://tinyurl.com/diamond-cubic pic.twitter.com/O8hUIbXUjW

https://web.archive.org/web/20230227144241/https://twitter.com/johncarlosbaez/status/784494041920450560

Kosterlitz and Thouless won the physics Nobel for figuring out how spins swirl in magnets! I explain it here: http://tinyurl.com/kosterlitz-thouless pic.twitter.com/Rh2OMEySkC

https://web.archive.org/web/20230221155557/https://twitter.com/johncarlosbaez/status/784852992801452032

Greg Egan drew gauge transformations of a vortex and antivortex, illustrating this year's physics Nobel prize work: http://tinyurl.com/kosterlitz-thouless pic.twitter.com/OfDDkrVvvf

https://web.archive.org/web/20230227150226/https://twitter.com/johncarlosbaez/status/785250804420587520

Someone named მამუკა ჯიბლაძე made a cool movie of the McGee graph, which has 24 nodes and 36 edges. Learn the math: http://tinyurl.com/jakzd65 pic.twitter.com/7RwbHBjcNP

https://web.archive.org/web/20230227173721/https://twitter.com/johncarlosbaez/status/785874277463535617

The maximally extended Kerr black hole has an infinite corridor of universes and 'antiverses'. Explore them here: http://tinyurl.com/kerr-hole pic.twitter.com/qfhEmHooiz

https://web.archive.org/web/20230227145332/https://twitter.com/johncarlosbaez/status/786240569240526848

I like this photo by David Burdeny - iceberg in the Weddell Sea chops the world in 4 parts! Learn more: http://tinyurl.com/david-burdeny pic.twitter.com/FuC1mfwgE1

https://web.archive.org/web/20230228130708/https://twitter.com/johncarlosbaez/status/786598168788135936

Black hole plus white hole equals wormhole! But you have to go a little faster than light to get across: http://tinyurl.com/gsapnz3 pic.twitter.com/OLp5VvhncW

https://web.archive.org/web/20230227173752/https://twitter.com/johncarlosbaez/status/786946609313525760

Astronomers found a thing with rings like Saturn, but hundreds of times bigger! It could be a brown dwarf: http://tinyurl.com/J1407b pic.twitter.com/D0p01CajQv

https://web.archive.org/web/20230227164519/https://twitter.com/johncarlosbaez/status/787334014914879488

Greg Egan showed how you can flex the McGee graph in the plane while keeping its edge lengths constant. Learn more: http://tinyurl.com/mcgee-embedding pic.twitter.com/wWvLkPuoDS

https://web.archive.org/web/20230301112723/https://twitter.com/johncarlosbaez/status/787706666561122304

What's better than a diamond? A triamond! A possible form of carbon, not yet seen: a "topological crystal". More: http://tinyurl.com/triamond pic.twitter.com/vXY4UMsVJa

https://web.archive.org/web/20230301112621/https://twitter.com/johncarlosbaez/status/788026735040212996

70,000 years ago, 2 stars shot past the Solar System! A tiny red dwarf and a even tinier brown dwarf. Learn more: http://tinyurl.com/scholzs-star pic.twitter.com/4MncAB3uzu

https://web.archive.org/web/20230227162951/https://twitter.com/johncarlosbaez/status/788391707096121345

Moving right or left? Learn the difference between group and phase velocity, and how *both* can exceed c: http://tinyurl.com/group-velocity pic.twitter.com/Hj7rZ3mxpb

https://web.archive.org/web/20230227152108/https://twitter.com/johncarlosbaez/status/788731773253406720

Shiny butterfly wings are made of "photonic crystals". In some, electrons act like massless neutrinos! Amazing: http://tinyurl.com/butterfly-gyroid pic.twitter.com/zCkF1XNVz3

https://web.archive.org/web/20230228130715/https://twitter.com/johncarlosbaez/status/789134729199046657

"Mini Saturn": astronomers have found an asteroid with rings! Or it is a comet? It's called Chariklo. For more: http://tinyurl.com/chariklo-rings pic.twitter.com/o3ifXWYEys

https://web.archive.org/web/20230227171438/https://twitter.com/johncarlosbaez/status/789566579004411904

Went to San Diego and got briefed on Metron's software for designing complex systems. Secretly it's category theory: http://tinyurl.com/complex-adaptive-2 pic.twitter.com/iHsrfvV34d

https://web.archive.org/web/20230228130733/https://twitter.com/johncarlosbaez/status/790206221559017472

2 million years ago, when the axis of Mars tilted more, ice at its poles evaporated and refroze elsewhere. More: http://tinyurl.com/white-mars pic.twitter.com/HBzn4jBaCT

https://web.archive.org/web/20230227151432/https://twitter.com/johncarlosbaez/status/790618830653366272

8 grad students worldwide can take a free advanced course in category theory! It'll be great! To apply: http://tinyurl.com/kan-two pic.twitter.com/EYzNb8wvzB

https://web.archive.org/web/20230301014607/https://twitter.com/johncarlosbaez/status/790975040359575552

This is what Mars may have looked like 3.8 billion years age - the northern plains may be old ocean bed. More: http://tinyurl.com/jsv8eda pic.twitter.com/tnjcwcPa1O

https://web.archive.org/web/20230228102756/https://twitter.com/johncarlosbaez/status/791276218494521344

Have three scientists just shown dark energy isn't real? I'm expecting a big argument - and here's why: http://tinyurl.com/darkenergyquestion pic.twitter.com/jgHGO1y0kM

https://web.archive.org/web/20230301114243/https://twitter.com/johncarlosbaez/status/791659465904758784

The US Geological Survey has a free huge map of Mars' north pole -see deep furrows carved by katabatic winds: http://tinyurl.com/mars-north-pole pic.twitter.com/srQZHjHqhM

https://web.archive.org/web/20230227152952/https://twitter.com/johncarlosbaez/status/792093293760745472

There's new free open-access math journal "Higher Structures", run by top experts on n-categories and such stuff - http://tinyurl.com/higher-structures pic.twitter.com/IkYj5QVZjO

https://web.archive.org/web/20230227170608/https://twitter.com/johncarlosbaez/status/792768744862851072

Liquid water on Mars! Salty water flows down Newton Crater in the spring. Learn more here: http://tinyurl.com/newton-crater pic.twitter.com/mr7Exlru3Y

https://web.archive.org/web/20230227140516/https://twitter.com/johncarlosbaez/status/793224134033485824

Did an 87-year-old mathematician just crack a famous problem? Are there no complex structures on the 6-sphere? http://tinyurl.com/atiyah-S6 pic.twitter.com/gAXbcuWtBx

https://web.archive.org/web/20230227161228/https://twitter.com/johncarlosbaez/status/793483682019278848

Juan Escudero found a degree-9 surface with 220 real double points, the maximum known. It's beautiful! Read more: http://tinyurl.com/escudero-nonic pic.twitter.com/pRq8O1ep1n

https://web.archive.org/web/20230301112615/https://twitter.com/johncarlosbaez/status/793852975605125120

Wolf Barth found a degree-10 surface with 345 double points, the most so far - and icosahedral symmetry! More here: http://tinyurl.com/barth-decic pic.twitter.com/sIYoy2v0Zx

https://web.archive.org/web/20230227180423/https://twitter.com/johncarlosbaez/status/794276192354332672

Mars' north polar ice cap has 820,000 cubic kilometers of ice! But here's a cute frozen pool in Vastitas Borealis: http://tinyurl.com/vastitas pic.twitter.com/1me65PhnD4

https://web.archive.org/web/20230228133120/https://twitter.com/johncarlosbaez/status/794584911088730112

The thorny devil, an Australian lizard, only eats ants. I think it's cute! Learn how it drinks water: http://tinyurl.com/thorny-devil pic.twitter.com/etIdtyHILJ

https://web.archive.org/web/20230301030129/https://twitter.com/johncarlosbaez/status/794943692368809985

Closeup photo of a Martian riverbed 1500 kilometers long and billions of years old. Learn more: http://tinyurl.com/reull-vallis pic.twitter.com/H0GQGFWLQm

https://web.archive.org/web/20230227145520/https://twitter.com/johncarlosbaez/status/795374462547828736

Nate Silver's blog gives you just 0.06 bits of information about who will be president. Why so little? See: http://tinyurl.com/relative-information pic.twitter.com/vh2hV1De3S

https://web.archive.org/web/20230227152045/https://twitter.com/johncarlosbaez/status/795688980469542912

Learn advanced math at a ski resort - for free! Homotopy type theory workshop for students and postdocs: http://tinyurl.com/hott-snow pic.twitter.com/7Z56gmaJ6X

https://web.archive.org/web/20230227171455/https://twitter.com/johncarlosbaez/status/796602574984146944

Going to Santa Fe Institute next week for a workshop on Statistical Mechanics, Information Processing and Biology: http://tinyurl.com/SFI-info-bio pic.twitter.com/JzdCuO0zX1

https://web.archive.org/web/20230227164505/https://twitter.com/johncarlosbaez/status/798150959222272000

See slides of my Santa Fe Institute talk on the math of networks and open systems! http://tinyurl.com/santa-fe-networks pic.twitter.com/8ROd0n9DXi

https://web.archive.org/web/20230227143341/https://twitter.com/johncarlosbaez/status/798942921785425920

Learn how computation is connected to entropy! Shannon meets Kolmogorov, and they're unified by Gibbs: http://tinyurl.com/alg-thermo pic.twitter.com/ydDLnjW3Oz

https://web.archive.org/web/20230227152451/https://twitter.com/johncarlosbaez/status/800024949633257472

Jarzynski gave a great one-hour intro to nonequilibrium statistical mechanics at the Santa Fe Institute - http://tinyurl.com/jarzynski pic.twitter.com/x764CAwgUJ

https://web.archive.org/web/20230227145523/https://twitter.com/johncarlosbaez/status/800767422915485696

Billiard balls move chaotically in a shape called the "Bunimovich stadium". They're "ergodic" - learn more here: http://tinyurl.com/bunimovich pic.twitter.com/kOfASv3kYI

https://web.archive.org/web/20230227122803/https://twitter.com/johncarlosbaez/status/801480464963772417

Learn about hairy, mammal-like reptiles that lived 60 million years before the reign of the dinosaurs: http://tinyurl.com/pisterognathus pic.twitter.com/TA1y17OXmE

https://web.archive.org/web/20230227170551/https://twitter.com/johncarlosbaez/status/801835993015799808

Trump's election has gotten me more motivated to fight climate change. There's a lot going on at the local level: http://tinyurl.com/zvad3yr pic.twitter.com/NQJkpsdZLK

https://web.archive.org/web/20230227155316/https://twitter.com/johncarlosbaez/status/802194786660716545

Thanksgiving: I was thankful to have grown up before the Arctic melted. Here's what's happening now: http://tinyurl.com/thanks-for-the-old-planet pic.twitter.com/ATC0qQNYqC

https://web.archive.org/web/20230227153922/https://twitter.com/johncarlosbaez/status/802909806218518528

https://web.archive.org/web/20230227160832/https://twitter.com/johncarlosbaez/status/803502556244627457

Check out my student Blake Pollard's talk on category theory for studying open systems! It was a hit in Santa Fe: http://tinyurl.com/pollard-sfi pic.twitter.com/M6VO6aC3Vs

https://web.archive.org/web/20230228133008/https://twitter.com/johncarlosbaez/status/805805409013350400

Workshop on category theory and computer science here in Berkeley this week! Check out my talk on Tuesday! http://tinyurl.com/baez-compositionality pic.twitter.com/eoWx6FhCIw

https://web.archive.org/web/20230227154658/https://twitter.com/johncarlosbaez/status/806558108591931392

https://web.archive.org/web/20230228120202/https://twitter.com/johncarlosbaez/status/807624859958198272

My student Brendan Fong explains the syntax and semantics of "network languages", like electrical circuit diagrams: https://www.youtube.com/watch?v=o8JDPYO5ZrQ

https://web.archive.org/web/20230301115043/https://twitter.com/johncarlosbaez/status/808010590417342465

@drewvolpe - are enough people downloading and backing up the climate databases listed on your Google Docs page to be done by Jan. 20th?

https://web.archive.org/web/20230228231932/https://twitter.com/johncarlosbaez/status/808088497139482624

The climate war is heating up! What will Trump do, and what can we do about it? Join our discussion: http://tinyurl.com/j6236nc pic.twitter.com/Lq6fFWMC1a

https://web.archive.org/web/20230227155739/https://twitter.com/johncarlosbaez/status/808764601370185728

Scientists are racing to back up climate data in case Trump tries to delete it. Learn how to help here: http://tinyurl.com/saving-climate-data pic.twitter.com/rDjyrnPGbp

https://web.archive.org/web/20230227151608/https://twitter.com/johncarlosbaez/status/809131193140510720

Jerry Brown to climate scientists: "If Trump turns off the satellites, California will launch its own damn satellite!" pic.twitter.com/WPCJtPap2I

https://web.archive.org/web/20230227164130/https://twitter.com/johncarlosbaez/status/809845118526070784

The latest news on how we're rushing to back up climate data, and how you can help: http://tinyurl.com/saving-climate-data-2 It's wild - but it's working! pic.twitter.com/D0hsobaGAY

https://web.archive.org/web/20230227164105/https://twitter.com/johncarlosbaez/status/810179490517282816

Good computer skills? We need your help at the Azimuth Backup Project. We're busy backing up climate data! http://tinyurl.com/azimuth-backup pic.twitter.com/DRl0lftOMJ

https://web.archive.org/web/20230227174741/https://twitter.com/johncarlosbaez/status/812353412037644289

If your friend runs a big government climate database, tell 'em to "hash" it so we can tell if backups are accurate! http://tinyurl.com/saving-climate-data-3 pic.twitter.com/2kFqRUUwuM

https://web.archive.org/web/20230227141920/https://twitter.com/johncarlosbaez/status/813135404622712832

Read about Dan Romik's ambidextrous sofa - the biggest known shape that can go around two bends like this! http://blogs.ams.org/visualinsight/2016/12/15/romiks-ambidextrous-sofa/ pic.twitter.com/KgzSGowSo2

https://web.archive.org/web/20230301014606/https://twitter.com/johncarlosbaez/status/813532350956978176

"Just a farmer's wife" - but her fiber optics deliver data 35 times faster than the UK average! Farmers love it. http://tinyurl.com/z5faaxd pic.twitter.com/SGMGAR4VYq

https://web.archive.org/web/20230227152936/https://twitter.com/johncarlosbaez/status/815446538235179009

The scariest insect I've ever seen: the giant toothed longhorn beetle, from the Amazon basin in Ecuador: http://tinyurl.com/macrodontia pic.twitter.com/zKZpW1DWzc

https://web.archive.org/web/20230227151311/https://twitter.com/johncarlosbaez/status/815662928858738689

Happy New Year! This surface, the "Chmutov octic", has 144 nodes. Read about it here: http://tinyurl.com/chmutov pic.twitter.com/ApjcnsjWiY

https://web.archive.org/web/20230227145242/https://twitter.com/johncarlosbaez/status/816760519679823872

Check out my pal Tom Leinster's new book, Basic Category Theory. It's good and it's free! It's even open-source: http://tinyurl.com/leinster-book pic.twitter.com/NPPw3igscQ

https://web.archive.org/web/20230227164549/https://twitter.com/johncarlosbaez/status/817097571206238208

A mysterious player known only as "Master" started beating EVERYONE IN THE WORLD at go. Now we know who it is: http://tinyurl.com/go-master pic.twitter.com/4Pm4gUpXAA

https://web.archive.org/web/20230301115050/https://twitter.com/johncarlosbaez/status/818255775122366464

@timteachesmath chops square cake into 5 equal parts - with same amount of icing! Regular hexagon into 7 parts? http://tinyurl.com/chop-cake pic.twitter.com/pBjAxNLgaQ