nth degree (12. 985)

Large amounts notoriously difficult to wrap one’s head around as it is (see previously here and here) and language attempting to sidestep contemplation of the practicably infinite, we enjoyed this gloss by linguistic anthropologist Stephen Chrisomalis of Wayne State University’s catalogue by first known publication of words used for indefinite hyperbolic numerals in English—placeholder names also called non-numerical vague quantifiers. The oldest examples dating from the mid-nineteenth century is umpty or umpteenth—used to describe an exponential difference and originally taken from a vocalisation of the dash in Morse code—dit and iddy were the dots. Zillion and its snow clones are first attested in print at the turn of the century.

x ↦ 𝑓(x) (12. 974)

Via Clive Thompson’s latest Linkfest, we are directed to towards a hidden reliquary of old, obscure Microsoft Excel functions maintained update after update to preserve compatibility and integrity of spreadsheet data—some being very dated like the ticker-tape age DOLLARDE and DOLLARFR when stocks and bonds were quoted in fractional dollars pre-decimalisation or highly specific like ROMAN which converts Arabic numerals, mainly for decorative use only as they are not well suited to double-entry bookkeeping (see also) and BAHTTEXT that transforms a value spelled out in Thai Baht, introduced in accordance with the country’s invoicing standards that require numbers expressed both ways to ensure clarity. Like the way the amount on a cheque is written out in long form, Excel only offers this feature for Thailand, which isn’t the only jurisdiction that requires it.

synchronoptica

one year ago: a virtual Advents Calendar of work entering the public domain (with synchronopticæ), Saint Zephania plus a game of incense

thirteen years ago: combatting youth unemployment, a post-industrial revolution plus a Lt Uhura My Little Pony

fifteen years ago: extremophiles 

sixteen years ago: holiday shopping 

seventeen years ago: authorised delay 

10x10 (12. 889)

trip hop: frustrated with his limited role in Massive Attack, Tricky embarked on his independent project Maxinquaye  

chud atlantis: more regional car-dealership rococo from McMansion Hell  

linguistic zombie hunting: a revival of the old prescriptivist superstition against ending a sentence with a preposition and the grammarians that support it 

state capture: the revolving door between government and industry creating the post-democratic world order—via Quantum of Sollazzo 

♾️ series: visual proofs that 1/4 + 1/16 + 1/64 + 1/256… yields ⅓  

circlesquare: filmmaker Jaron Albertin’s rather disturbing music video for “Seven Minutes” 

artful dodger: Victorian mugshots of juvenile offenders—via Nag on the Lake  

stay puft: some facts all about marshmallows sealab: project Tektite and experimenting with submerged human habitats  

giscardpunk: Fifth Republic techno-futurism reimagined—see previously 

synchronoptica

one year ago: farming by lottery (with synchronopticæ) plus assorted links to revisit

twelve years ago: coded correspondence

thirteen years ago: Thanksgiving salutations  

fourteen years ago: Bretton Woods and monetary unions 

fifteen years ago: privacy and Google Maps plus trade unions and Ricardian economics

posterior probability (12. 850)

Via the always interesting Quantum of Sollazzo, we are directed towards this rather fascinating data experiment, a quarter of a century after the release of Lou Bega’s iconic hit, which seeks to find out if one can accurately predict when the song came out using Bayesian inference on the names of the women mentioned in the song and analysing the popularity of the chosen names over the decades (see also), whose net likelihood distribution maps nicely to the year it was recorded.

synchronoptica

one year ago: Saint Carlo Borromeo (with synchronopticæ) plus reimagining Slaughterhouse Five

twelve years ago: reinventing the internal combustion engine 

thirteen years ago: a proposed special tax on fast food and take away detritus, Laika for president plus Germany’s take on American democracy

fourteen years ago: changes to Google’s search algorithm 

sixteen years ago: rounding up agewise 

seventeen years ago: Dadaism in signage 

8x8 (12. 775)

toastbusters: Florida woman relates the story of her demonically possessed appliance on nationally syndicated morning television in 1984 

less cowbell: short-form AI generated videos flooding social media incite confusion, nihilism  

hot stuff, hot postula: vintage American cheerleading calls and college yells  

dob, doa: statically, one is slightly more inclined to die on one’s date of birth—via Nag on the Lake—see previously 

ghost waltz: a Louie Zong spooky season tradition—see previously 

in this economy: venerable coffee roaster—also under assault from tariff-pricing—changes its name to something more achievable  

uav: mysterious drone sightings across Europe are signs of collective anxiety (see more) and echo the panic over Chinese spy balloons over North America  

workplace etiquette: the story of the woman who xeroxed her bottom, becoming front page news

qed (12. 732)

A once in a century event, at least for jurisdictions observing the MM-DD-YY format (see also), today—rendered as 9/16/25—illustrates the Pythagorean Theorem—that is, a²+b²=c² or three-squared plus four-squared equals five squared or the unit measures of the shorter vertices of any right triangle yield its hypotenuse. As a bonus, the full year, 2025 (see above), is the square of forty-five.  More auspicious dates with numerical properties at the links above.

noperthedron (12. 693)

Via MetaFilter, we get the chance to revisit our favourite seventeenth century admiral and polymath Prince Rupert of the Rhein through a geometrical conjecture of his, a wager unsettled mathematically at the time, which may have been disproven. Having whittled out two identical cubes, Rupert wondered if one could cut a square shaped hole in one of the objects and pass the other through it, without breaking the original structure—the unit cube. Extrapolated into triangle shaped holes in pyramids and other polyhedra (all the Platonic solids, hypercubes, etc) were later demonstrated to possess “Rupertness” and can be shoved through each other—regardless of material—the edges kept intact and will even accommodate a shape slightly larger. Not cutting corners exactly, this bit of transdimensional engineering, shadow-casting turns the two-dimensional square into a rectangle in relation to the three-dimensional cube. Demonstrating the property was a long-standing challenge but modelling has been made simple through 3-D printing—see also. Recent studies, however, have shown but nope that the title polyhedron, a truncated convex figure with ninety vertices, made specifically for disproving the supposed universal attribute, is said to be not Rupert

from the shallows of wikipedia (12. 687)

Via Super Punch, we learn that the honest-to-goodness academic term for the kink that can sometimes occur in both naturally-occurring and manufactured helix-based structures, like in knotty Christmas lights or the twisting of a telephone handset cord, is tendril perversion—which the article’s header helpfully disambiguates from Japanese tentacle based erotica (don’t get them confused). Already established as the accepted turn of phrase by the time of Charles Darwin and contemporary botanists, the phenomena was noted as the invariable twist in the spiral of a growing vine or sprouting seedling, and was formalised as a way to describe the elastic geometry of breaking symmetry and chirality.

8x8 (12. 618)

eight limes, no more: a list is a map, a compass, a prayer—via MetaFilter  

ключевская сопка: volcanic eruption in Russia’s far east sets off earthquake and tsunami warnings  

windrunner: turbine manufacturer—in defiance of Trump’s claim that windmills are killing us—building world’s largest aircraft (see also) to transport huge blades to remote wind-farms  

foredone: useless etymology and some very cromulent words

twin primes: pairs that only are separated by an even number in between grow rarer as one looks at greater ranges of values but no one knows if they run out altogether  

evrópusambandið: Iceland considering resuming accession talks with the supranational body  

this guy is taking people from the spa: Trump reveals to press-pool that falling out with Epstein was over him stealing staff  

an oral history of atlantis: a conversation about metafiction with author Ed Park

poisoning pigeons in the park (12. 612)

Language Log directs our attention to the obituary and encomium of the recently departed satirist noted for his nimble lyrics and insufferably cheerful accompaniment with a decidedly dark streak, Tom Lehrer (1928 - 2025)—dropping the act in the 1960s but going on to teach mathematics and musical theatre and was a regularly contributor of political lampoons for That Was the Week that Was and an inspiration for Randy Newman, Dr Demento and “Weird Al.” Relinquishing all copy- and performance-rights of his songs in 2022, Lehrer’s music is in the public domain and probably best known for his “Elements”—itself often repurposed for any given subject, set to the tune of Pirates of Penzance and the particularly maudlin “We Will All Go Together When We Go” about universal bereavement—an inspired achievement should someone drop the bomb. In keeping with the Log’s mission, here’s an orthographic track produced for The Electric Company. Much more at the links above.

7x7 (12. 571)

edge of eternity: Poseidon’s Underworld’s cinematic vacation to the Grand Canyon 

the open-hearted many and the broken-hearted-few: the venerable and ongoing Leonard Cohen Files—via Metafilter  

litra: an ancient Byzantine scale complete with a set Greek letter-shaped counter-balances discovered in Türkei  

voulez-vous danser avec moi: the mambo scene of Brigitte Bardot and Dario Moreno from Michel Boisrond’s 1959 « Come Dance with Me? »  

flatland: the four dimensional world of Alicia Boole Stott—see also  

and if i haver: an endurance run of The Proclaimer’s I’m Gonna Be—via Web Curios 

it happened here: a contemporary table-read of Stephen King’s what-if premise of Apt Pupil considered during a staycation from Today in Tabs—via ibidem

31/atlas (12. 557)

Spotted only a few days ago by astronomers in Chile at an associate observatory under the auspices of the international Asteroid-Terrestrial impact Last Alert System monitoring station that’s the future home of the Vera Rubin observatory, the Large Synoptic Survey Telescope which will be capable of scanning the entire sky of the Southern Hemisphere every few days as the largest digital camera ever constructed and watching for changes—including such interstellar interlopers—the inbound comet originating from another solar system is only the third such object passing through to have been verified. Like the explosion in the discovery of gravitational wave phenomena, more visitors like ʻOumuamua and Borisov are bound to be found, advanced imaging techniques underwritten by more data but now both enterprises are in jeopardy by funding cuts to NASA, sponsor to both. And while anyone can determine whether a trajectory is parabolic or hyperbolic or predict a collision course, a potential loss of telemetry seems of great gravity when it comes to such global studies and preservation for Earth and other knock on effects. Significantly brighter than the previous two encounters and traceable by amateur astronomers, the comet, posing no threat to Earth, won’t be visible at perihelion as it will be on the other side of the Sun then in October but at its closest approach to Mars, it may be detected by Martian rovers and satellites.

synchronoptica

one year ago:  the introduction of the Caesar salad (with synchronopticæ) plus the waterfalls of Mount Cuvignone

twelve years ago: a trip along the Rhein plus a revolution in Egypt

thirteen years ago: the God particle plus national drinks

fourteen years ago: the passing of Otto von Hapsburg and the legacy of the Austro-Hungarian Empire 

6x6 (12. 502)

the chairs of dr who: the quest to identify as much seating as possible from the series’ first great age from 1963 to 1989—via Pasa Bon!  

π in the sky: random star distribution reveals the mathematical constant with surprising accuracy  

cowardcore: milquetoast Pride apparel collections—via Super Punch—see previously 

the amalfi coast of japan: sites that compare themselves to more famous vacation destinations 

all these worlds are yours, except europa—attempt no landing there; use them together, use them in peace: future missions to drill into the icy crust of the ocean moons—see previously  

maxwell house: a fascinating omnibus of the cinematic commercial advertisements of Ridley Scott

apparent magnitude (12. 492)

Realising I had taken for granted knowing what the unit of measurement was, or what exactly it was gauging, we appreciated this introduction and overview of the decibel—via Quantum of Sollazzo. Sort of like the distinction between mass and weight, sound intensity is measured in terms of pressures in pascals as the deviation from the ambient caused by an acoustic wave through a given medium, and the decibel as a way of expressing the ratio between two values logarithmically—with the silent partner being the threshold of human hearing. Originally stemming from a technique to measure and compare signal loss over telegraph lines and later telephone circuits, first expressed as loss per miles of standard cable, the new definition developed by Bell Labs was received favourably by operators and long-distance providers, named in honour of the communications pioneer Alexander Graham Bell. Still used chiefly to calibrate signal strength and fidelity as power passes through different exchanges across a network (mathematically, it is easier to process and account for the changes in transmission media and resistance by their additive properties rather than cumulatively by logarithms, which is incidentally the reason why older hardware and appliances last longer being over-engineered by dint of material and electrical tolerances calculated with a slide-rule and rounding up adding up to machines built to a more robust standard than for their planned lifecycle. Because humans perceive an increase in loudness exponentially rather than linearly (per studies in psychophysics known the Weber-Fechner laws that demonstrate gradual increases are likely to go unnoticed by the senses, the contrasted stimuli also seen to carry an effect in registering numbers and statics, in placebos—titration of all types through interoception and voting), the dB scale became a useful measure, as with the Richter scale for earthquakes and the Fujita scale for tornados, for when a in situ judgment might fail.

synchronoptica

one year ago: assorted links worth the revisit (with synchronoptica) plus the discovery of Troy

seven years ago: mythemes, a global weather service, the GDPR goes into effect, drowning does not always look like drowning, the founding of St Petersburg, ancient and modern trade routes plus a walk along the former inter-German border

nine years ago: the classified section, petty commodification, French-Canadien curses plus pizza as alimony

ten years ago: more links to enjoy, a supernatural dating society, the upcoming G-7 plus a new city in Mongolia

sigils and signs (12. 486)

Having previously looked at other visual language compliers expressed through artistic elements and other than the usual strings of functions and conditions of coding, and very much reenforces overdue acknowledgement that the jargon of computing can act as a gatekeeper and that unnatural language can create an out-group (see also) for whom these incantations seem like wizardry, and given our preoccupation with secret signs, we were very much
intrigued by this mystical platform of magic circles, via Clive Thompson’s latest Linkfest (a lot more to explore there) under development by Denis M Moskowitz. The sampled, quicksort spell is a rendering of the Euclidean algorithm for calculating the greatest common divisor of two numbers—that which divides them both without a remainder—a benchmark test for the logic of a new programming language with an intuitively visual component. Moskowitz has also created a character set of glyphs or monograms after the chaos magic of Austin Osman Spare (previously here and here) whose seals unlock the basic grammar of coding. Much more at the links above.

11x11 (12. 481)

ν octantis: astronomers discover a tight binary star system with a lone exoplanet wedged in the middle  

{sum free sets}: Cambridge graduate student proves an conjecture of Paul Erdős on the limits of the additive property—via Damn Interesting 

gorgoneion: the backstory of Medusa 

market instability: complaining that negotiations have stalled, Trump threatens to impose a fifty-percent tariff on EU exports to the US 

ambigram: more invertible messages—made by impossible letters (see previously here and here) 

the old, old, very old man: the sudden death of super-centenarian Tom Parr in 1635 illuminates our long quest for longevity—see also 

marked decline: the precipitous drop in the use of semicolons—with a quiz to celebrate its proper placement  

urban renewal: arborists are planting giant sequoia (previously) in blighted Detroit neighbourhoods—via Kottke  

pandemonium: when the pantheon of gods and goddesses came into the world, they already had company with a multiplicity of daemons acting through human agents 

exchange programme: US Department of Homeland Security revokes Harvard’s ability to enrol foreign students  

brown dwarf: in the distant past, Jupiter was nearly twice its present size with a much stronger magnetic field, revealed by the orbital dynamics of its constellation of satellites—see previously

7x7 (12. 438)

kanzlermehrheit: Bundestag selects Friedrich Merz chancellor after secure a majority in the second round of voting, averting a constitutional crisis  

rococo and its discontents: McMansion Hell on Trump’s gaudy transformation of the White House—via Kottke 

fuzzy maths: an unsure calculator that produces a range of histograms to assess one’s unknown factors—via Pasa Bon!—from home economics decisions to the Drake equation

reaction time: a car brake engaged by one’s eyebrows  

top billing: the movie poster and album cover art of Dick Ellescas that fuses Art Deco and Mod  

architektonisches gesamtkunstwerk: the Junkerhaus of Lemgo articulated over the decades whilst the jilted artist awaited his betrothed who would never return—via Messy Nessy Chic—more here 

habemus papam: first round of voting fails to produce consensus—plus live chimney cam

10x10 (12. 420)

america’s war: a special report from the Verge for the fiftieth anniversary of the Fall of Saigon   

leaflet: an Art Nouveau study of botanical forms and their application in decor—see previously  

mangajin: an appreciation of the month English-language publication for students of Japanese language and culture—full archives from the entire run from 1988 to 1997 here   

do: inspirational words from artist Sol LeWitt to fellow creative pioneer Eva Hesse 

chisanbop: the Korean technique of fingermath   

i have to push the pram a lot: Monty Python and the Holy Grail at fifty   

animal spirits: what felines, bovines, porcines, etc on the label say about wine quality   

you wouldn’t right-click a car: US anti-piracy campaign filled with hypocrisy, including a stolen font—see also   

bus error collective: a WSIWYG primer on oscilloscope music—via Waxy   

worst one-hundred days: assessments of Trump first months in office for his second term—more here and here

synchronptica

one year ago: Pennsylvania 6-5000 (with synchronoptica) plus naming world wars 

seven years ago: a corollary to the Bechdel test plus a visit to Stockheim

eight years ago: archaeology with trace DNA, Islamic gateways plus responding to nuclear extortion 

nine years ago: crowd control robots, language acquisition plus a hand-held DNA sequencer

ten years ago: visiting FDR’s Georgia retreat, ribald limericks, assorted links to revisit plus pontoon bridges to alleviate traffic congestion

9x9 (12. 381)

domestic box office: in response to escalating tariffs, China is curtailing the number of American films screened in the country  

redeployment: decision to reposition US troops stationed in Poland causing concern  

dixonary: improprieties in pronunciation among New Englanders 

 𐦉: the Latin alphabet expressed as hieroglyphics  

now is a great time to buy—$djt: social media posts and a spike in options activity may indicate insider trading within the administration  

א₀: physicist Dominic Walliman charts out the fields of mathematics and how the academic informs application 

from the gigantic bones displayed at roncesvalles: an adjective that should be brought part back into use 

a man, a plan: US defence secretary floats idea of reopening mothball military bases from the 1989 invasion of Panama 

trading floor: the history of the ticker-tape machine

quale and qualia (12. 344)

Having come to a similar epiphany at a point in life I considered fairly late and doubting maturity—but perhaps this sort of realisation needs time to incubate and couched in inexperience—that everyone was their own hero and main character, I found this curated list of introspective descriptors (with an invitation to readers to submit their own) from Marco Giancotti to be quite resonant. Although I don’t normal think to believe that my own subjective experience to be radically different from the next individual nor informed by some prodigious synthesis of sensations and neither compensated by recently coined conscious lacunas like aphantasia, imagination without mental images or internal monologue, the notion that we’re all naked aligned with the Emperor’s New Clothes is a really fascinating and engaging notion to ponder, nomothetic, broad generalisations versus the idiographic and the idiocentric. I like to think of myself capable of imagining in all these avenues and could accept that others do not but there is a measure of scepticism for divergence from the norm. Among the shared experiences that spoke to me, was a short interview with physicist Richard Feynman, as self-diagnosed with a benevolent form of arithromania, about how people count and calculate mentally in various ways. Much more—with growing contributions at Æther Mug at the link above.