amidakuji (11. 918)

A way of establishing 1:1 correspondence with any number of random pairings of equal size—for instance assigning roles to actors or chores to a group of helpers—the lottery game of chance, guaranteeing equal chance and distribution is called the above in Japan (阿弥陀籤, after the aspect of the Buddha associated with discernment and perception), in Korean as Sadaritagi (사다리타기, ladder climbing) and in Chinese as Guijiaotu (鬼腳圖, a ghost leg diagram). Participants’ names are listed in the row above with vertical lines dropping down to an assignment directly below. Concealing the names and jobs, the lines are hashed with random horizontal detours that must be taken on to the next column until reaching the bottom. Revealing the lines to the players but still keeping the other names and jobs concealed, they choose their path downward, the permutations in the snaking path ensuring all tasks are taken—unlike with drawing lots, flipping a coin. Aside from practical applications, such lottery elements can be found in the bonus rounds in video games to randomise one’s chances of getting the best prize.

10⁶⁰⁰ (11. 819)

Via Things Magazine (lots more to explore there), we get the chance to revisit the electromechanical rotor cipher machine, the advanced HX-63 developed by a private Swiss firm, which would prove difficult to crack even by contemporary standards and in 1952 was exponentially more secure than the CIA’s top model. Over the course of a decade, only about a dozen of the units were manufactured and though most clientele remained anonymous, the French defence ministry was one known buyer and a defence contractor found the device in a Cold War communications bunker and restored it to working order. The potential of those above undisclosed purchasers to be forces not aligned with Western interests caused the intelligence agency to intervene and not only eventually stop their sales but also to enter into a partnership with the company to produce a model with a backdoor so the CIA could decrypt any transmission. More from IEEE Spectrum at the link above including a video demonstration of the restored, uncompromised model and more on how the technology works to encode messages.

synchronoptica

one year ago: INTERPOL (1923)—with synchronoptica—plus divination through cheese

seven years ago: an appreciation of composer Edvard Grieg,  a meditation on the dacha plus cabmen’s shelters

eight years ago: restoring the Houses of Parliament, the debut of Star Trek, a Buddha-inspired knitted cap plus the debut of Voyager

nine years ago: a partially submerged art installation in the Thames is a statement on climate change

ten years ago: window displays, NATO talks on the Russian invasion of Ukraine plus a visit to Bad Vilbel

9x9 (11. 807)

city corridor: Metropolitan Museum of Art to exhibit the built and unbuilt visions of architect Paul Rudolph—see previously  

move over miss marple: German television mystery series imagines what the former Chancellor is doing with her retirement 

batteries not included: peruse the complete catalogues of Radio Shack produced over its six decades of business—plus this theme song 

mizzenmast: experimental solar sail prepares for its first voyage—see previously 

a copy of a copy: AI’s synthetic data is its downfall—via Damn Interesting’s Curated Links  

marshmallow test: the heuristic for delayed gratification and executive functions is fraught with bias and harmful assumptions—via Hyperallergic  

preowned platform: IKEA launches a second-hand marketplace to become a circular company within the decade—via Nag on the Lake  

substantially worse than random chance: seemingly counterintuitive probability puzzles are perplexing social media—see previously  

cerceri d’invenzione: the aesthetic and romance of imagining ruins of foregone civilisations

8x8 (11. 799)

heatwave toolkit: applying yogurt to one’s windows to cool homes and offices  

calculating empires: an exploration of the genealogy and evolution of technology and power from the fourteenth century on—via Pasa Bon!  

better than binary: a look at the potential for base-three in computing applications and security—see previously  

coriander, comfits, confetti: Italian cuisine, shifting tastes and etymology  

campaign photo op: Trump staff had a violent altercation with Arlington National Cemetery officials—see previously  

chaos rainbow: an unusual monochrome optical meteorological phenomenon over a baseball stadium  

license to travel: the three thousand year history of the passport, linking bureaucracy with our hopes and aspirations  

süßwarentechnik: Swiss researchers discover a way to produce chocolate using the whole cocoa fruit rather than discarding most of it

synchronoptica

one year ago: assorted links worth revisiting (with synchronoptica)

seven years ago: an optimised crash-test dummy, the backstory on the distracted boyfriend meme plus a villa modelled on the White House in Germany

eight years ago: moving a museum plus Calais’ Jungle encampment

nine years ago: the reproducibility crisis, more links to enjoy plus a squishy map

eleven years ago: Italian Ghostbusters 

7x7 (11. 761)

popp horlage: the network of pneumatic clocks of fin de siècle Paris 

just get me eight-hundred thousand votes: Elon Musk interviews Trump on X—see more 

home row keys: a documentary on Mavis Beacon  

porte-clés: the French youth craze for key-rings  

josuushi: counting-markers in the Japanese language, nuanced by rank, size and sentience—see previously, see more—via tmn 

homo naledi: chance discovery reveals more branches in our family tree  

death-slot: revisiting broadcast television’s dumping grounds  

spear-fishing: reportedly a group of hackers with ties to the Islamic Revolutionary Guard of Iran were able to break in to the Trump campaign’s database 

us patent application 10/953212: a training regimen to harvest hyperspace energy and pass through solid items

synchronoptica

one year ago: a classic from Lynard Skynard (with synchronoptica) plus a tour through the Geratal

seven years ago: classic cartoon What on Earth?! plus diagrams of parliamentary seating

nine years ago: keeping stashed cash safe 

ten years ago: Mexico ends state oil monopoly plus more humanitarian airstrikes

eleven years ago: histomaps plus ages of the US Founding Fathers

chiliad (11. 735)

Via Curious Notions, we learn the above term from the Ancient Greek χῑλιάς for a grouping a thousand things mostly encountered in modern English in the form of chiliastic, a Christian doctrine associated with the a thousand-year period of peace and prosperity the would follow the return of Jesus or—synonymously—believe in an apocalyptic millennium. Used generally to denote large in number or uncountable, it is on tenth of a myriad (M̄, the subject numeral rendered as X̄, with the largest Greek exponent M̄M̄ denoting a hundred million—see previously)), probably from the Greek word for swarming ants (μύρμηξ) and both can be used as a noun or adjective (distinguished in the cases “chiliad reasons” or “a myriad of reasons”) with hyper-pedantically, as with decimate, the former citing exactly a thousand causes and the former meaning a diverse basket of them.

monty hall enlightenment (11. 733)

Via Quantum of Sollazzo, we are invited to revisit the sometimes fiercely and vehemently counterintuitive probability puzzle based on the TV game show Let’s Make a Deal. Though it is easy to demonstrate that one should always switch doors, have a two out three chance of winning rather than staying with one’s original choice, there are an array of perfectly unreasonable factors that at play that make people stick with their original bet and believing the odds to be even, whereas they’re only ⅓ as likely to not walk away with a prize goat, the dilemma and its trenchant nature says a lot about human bias and errors of commission. Even mathematicians and physicists come to the wrong conclusion until being disabused (sometimes it never takes as our original selection is endowed by magical thinking and those times when we switch and lose cling to our minds more) by brute repetition or by positioning themselves as host and realising that certain protocols are followed in games of chance. This is a specific and tenacious example which illustrates our withering capacity for judgment but I wonder if there are analogous other odds that we similarly misunderstand.

⚶ (11. 696)

Observed between 1802 and 1807 before being identified as a minor planet by astronomer Heinrich Olbers, whom having already discovered and named what is now understood to be the asteroid Pallas gave the honours to mathematician Carl Friedrich Gauss, whose orbital calculations had enabled researchers to confirm the existence of the first such object in that region of the solar system, Ceres, presumed—incorrectly—to be fragments of a larger, destroyed planet, and called the discovery after the Roman goddess of hearth and home, Vesta. The Dawn mission, dispatched to explore the asteroid belt, entered into a year-long orbit around the brightest and second-largest asteroid on this day in 2011. Presently represented by the modern astrological variant of the original symbol conceived by Gauss, it was suggestive of the altar of the goddess and home-fire by extension, the first form is scheduled to return as a Unicode character, the pictorial representations repopularised following their retirement in the mid-1800s as impractical as the cosmic backyard became more crowded with eight major planets and over a dozen minor ones. During the interim until the 1950s, asteroids were given the naming convention of ordinal numbers, according to the sequence of their discovery, this one called ④ Vesta.

synchronoptica

one year ago: professional uniforms (with synchronoptica), an experimental overland train plus the Trinity nuclear test (1945)

seven years ago: a linguistic curiosity

eight years ago: a beach on the Île d’Orélon

nine years ago: classes of quarks plus a Mad, Mad, Mad Max mashup

eleven years ago: informant gadgets 

9x9 (11. 694)

fungal magic: an update on the mushroom documentary narrated by Björk  

always lands on its feet: the myriad ways animals negotiate the laws of physics—see also  

meisje met de parel: decoding Vermeer’s true colours—see previously—via Miss Cellania 

i’m your heat pump: a seductive slow jam seems to educate the public on the thermal energy transmission system 

eno: the generative documentary on the self-described non-musician that changes with each viewing  

legal daisy spacing: a purported 1985 manual for terraforming a planet that presents a warped bureaucracy and sterile landscaping  

nolle prosequi: federal judge overseeing illegal retention of classified documents trial against Trump dismissed the indictment over the improper appointment of the prosecution’s special counsel—see previously here and here  

reimann hypothesis: new insights about the distribution of prime numbers—via Damn Interesting’s Curated Links  

kräuterbuch: Johannes Hartlieb’s fifteenth century treasury of herbs

 

synchronoptica

one year ago: assorted links worth revisiting (with synchronoptica), Netscape plus the Rosetta Stone

seven years ago: dark matter, more on the election integrity commission plus the bicentennial of Frankenstein

nine years ago: thalassocracies, plutographies plus more links to enjoy 

eleven years ago: a slightly NSFW Soviet adult literacy reader

twelve years ago: the German banking system plus the Oberammergau Passion Plays

11x11 (11. 625)

indemnity clause: a look at the exactingly detailed Sanborn maps created for US insurance firms in the nineteenth and early twentieth centuries 

unseen persia: thousands of historic photographs of Iran during the Qajar dynasty leaked on-line from the archive of the Golestan Palace  

sweet thing: Chaka Khan’s debut Tiny Desk performance  

bahía de cochinos: Russian warships on drill visit Cuba  

doubly-disambiguated bishop non-capture statemale: a vlogger tries to categorise the rarest chess moves  

transponder: wood proves surprisingly durable material in space as agencies plan to launch experimental satellites, like ships on the high seas—via the Linkfest  

1337: a pretty exhaustive list of English words that can be spelled on a calculator turned upside down  

hollywood canteen: a fond farewell to Janis Page, recently departed at 101  

the brannock device: a better shoe-sizer based on the barley corn  

gallus gallus domesticus: photographer recreates exacting portraits of Edo-era Ito Jakuchu’s studies of chickens—via Nag on the Lake  

geochron: the incredible restoration of 1960s analog, electromechanical world clock and map

counting crows (11. 621)

Previously we’ve visited general corvid intelligence (see previously here and here) and numeracy in bees—and given the recent discoveries of a whale language (not forgetting the Plant Kingdom, ibīdem) and elephantine endonymy—it is no wonder that we learn, via Clive Thompson’s latest Linkfest, that our cawing friends too understand the concept of numbers, according to preliminary studies undertaken at the University of Tübingen. Crows furthermore have been shown to vocalise actual numerals, corresponding to values from one to four consistently and have sophisticated maths skills. More at the links above.

synchronoptica

one year ago: assorted links worth revisiting

two years ago: the precursor to the bicycle, Cleopatra (1957) plus good wine needs no bush

three years ago: Clash of the Titans (1981), shutter sounds, Russia Day, Deep Throat (1972), Raiders of the Lost Ark (1981) plus the tripartite devil

four years ago: Loving Day, more concatenation plus a unique geometrical construct

five years ago: Canada decriminalises abortion and homosexuality (1969), Volkswagen tries to clean up its reputation, vintage Kellogg’s advertising plus a horse of a different colour

aabba (11. 594)

Via Futility Closet, we are reminded of the anatomy of a limerick (with the above rhyme scheme, see previously) with the following meta-versification by John Irwin, poet and professor of the humanities: 

A limerick’s cleverly versed—
The second line rhymes with the first;
The third one is short,
The fourth’s the same sort,
And the last line is often the worst.

This rendition is almost certainly in homage to the anonymous exemplar: 

The limerick packs laughs anatomical
Into space that is quite economical.
But the good ones I've seen
So seldom are clean
And the clean ones so seldom are comical.

Heretofore, most often privileged showmanship, they often invoked exotic geographic locations as a way to subvert the rote teaching of the subject in schools, with several variations and violations. British wordplay and maths expert Leigh Mercer, best known for his palindromes, (¡“A man, a plan, a canal: Panama!), also famously a mathematical limerick:  

12 + 144+20 +3 ✖️ √4 / 7 + (5 ✖️ 11) = 9² + 0 

Or, as read: 

A dozen, a gross, and a score
Plus three times the square root of four
Divided by seven
Plus five times eleven
Is nine squared and not a bit more.

8x8 (11.542)

komoot: one testimonial for the international route-finding applicant to which we can personally endorse for its hiking trails recommendation and active community of contributors 

zillow gone wild: absurdist real estate listings go mainstream

dodecahedron: more on the mysterious Roman artefact puzzling archaeologists—see previously  

eidophone: a Welsh singer in 1885, wanting to give flower, fern and tree a voice, pioneered the discipline of cymatics 

democracy dies in darkness: amid faltering peace-talk, Israel shutters al Jazeera bureau in Israel  

live people ignore the strange and unusual. i myself am strange and unusual: a trove of behind the scenes stills from the 1988 production of Beetlejuice—see previously 

finsta: photo-dumps circa 2006 are the new chaotic and authentic social media trend—via tmn  

trudge: an arduous animated journey of many flights by Stephan Schabenbeck through the lens of taking relatable longer than expected excursions

π (11. 420)

As our faithful chronicler reminds, today marks the annual celebration of the mathematical constant pi, expressed in US calendar conventions 3.14 (we also get the chance on the twenty-second of July, Pi Approximation Day, from the notional fraction known from the time of Archimedes—first observed in 1988 by physicist and curator of the the San Francisco Exploratorium Larry Shaw, and since designated by the US Congress and UNESCO as the International Day of Mathematics. Activities include learning about the irrational and transcendent number and its properties, memorising and reciting its digits, called piphilogy and relies on mnemonic techniques, such as composing so called piems—a portmanteau of the Greek symbol and poem in which the letter count of each word equals the corresponding digit: to the fourteenth decimal place, “How I want a drink, alcoholic of course, after the heavy chapters involving quantum mechanics,” and eating circular foods. The Massachusetts Institute of Technology also traditionally dispatched its college admissions decision letters to applicants on this day.

8x8 (11. 416)

studio nue: the meticulous and immersive sci-fi illustrations of Naoyuki Kato  

landsat lens: virtual rewinding maps created with historic satellite imagery

drawing for nothing: a growing e-book of storyboards and character studies from unfinished, shelved animation projects—via Waxy 

hag horror: Poseidon’s Underworld explores the genre with 1971’s Blood and Lace 

ṗ_s (t → ♾️) = 0: researchers find algorithms that only quantum computers can solve—via Damn Interesting—see previously  

all these worlds are yours, except europa: NASA reveals the plaque its probe will carry to Jupiter’s icy moon later this year  

rednaxela: unusual toponyms, including the named terrace in Hong Kong believed to be Alexander transcribed right-to-left, as was the practise in the past  

fantomah: outsider comic book artist Fletcher Hanks

synchronoptica

one year ago: assorted links to revisit, domino theory (1947) plus more words with no English equivalent

two years ago: more links to enjoy,  World Day Against Cyber Censorship plus Mamma Mia (1975)

three years ago: the cosmography of William Fairfield Warren (1915), artist Caterina van Hemessen, St Maximilian of Tebessa, occultist Austin Osman Spare, listening to maps, more isogloss maps plus a celebration of veteran memes

four years ago: St Serafina plus COVID travel bans take effect

five years ago: resurrection plants

penrose tiles (11. 398)

Given the potential, inevitably of quantum computing to break even the hardest encryption and pose an existential threat to the digital framework of privacy and security that we’ve become accustomed to, a possible reprieve in the form of aperiodic tiling is welcome news. Rather than focus on the symmetrical and repeating approaches to tiling a surface, polymath and Nobel laureate Roger Penrose and others began to study inflation and deflation of imperfect coverage in the 1970s, and anticipating the models of quantum computing, physical qubits and the superimposed virtual states, the never-repeating mosaics are not in themselves a place to hide information but a check-digit redundancy to ensure calculations stay on course. Given the nature of quantum mechanics—measuring the in-between state, neither zero or one and both, will cause the value to collapse, making the circuitry a rather delicate and unreliable thing and could lead to a more robust and internally consistent way for encoding and encryption as we know it. More at the links above.

7x7 (11. 383)

bacile calmette-guérin: a century-old variolation against bovine tuberculosis technique might present a treatment route for dementia  

endangered language alliance: a survey of the rare forms of communication in communities in New York City  

marketable skill: Nvidia executive says kids shouldn’t learn to code 

icc: renewed calls to make ecocide the fifth international crime and within the scope of the UN’s court—via tmn  

kürschák’s tile: a visual proof a complex geometric tessellation  

project ceti: how, powered by AI, a first contact could play out between humans and whales—see previously, see also 

goldplate: research suggest that a treatment with nanoparticles of the element might be a cure for neurodegenerative diseases

vielecke u. vielflache (11. 368)

This 1900 study of polyhedra by geometer Johannes Max Brückner, who taught at a Gymnasium (a secondary, preparatory school) in Bautzen after earning a degree in mathematics and physics from the Universities of Leipzig and Heidelberg and earned his teaching credentials for constructing many models of stellated shapes, compounds of the Platonic solids projected outward until the result in a new uniform and congruent three dimensional figure (see also), is not only noted for its aesthetic and inspirational value (M C Escher’s work was largely informed by exposure to this publication) but is considered among the foundational proofs of the field, documenting all the then known possibilities. In 1930, Brückner’s collection of models were donated to the institution in Baden-Württemberg, which in turn awarded him with another honorary degree. More at Present /&/ Correct at the link up top.

kāla (11. 280)

Via ibīdem, we enjoyed contemplating this display that shows the passage of different units of time side-by-side advancing relative to the observer. Named for the Jain concept of that which brings forth change (also meaning death), the second is the smallest practical measurement, made up of countless and indivisible samaya—like Planck time though the zeptosecond or one sextillionth of a second is the smallest fragment of time that can be reliably calibrated—and itself representing about forty-eight seconds and the kşaṇa about forty-eight minutes. Aside from the more familiar units and the Hindu-Sanskrit tradition of describing the cosmological cycle, from microseconds to trillions of years, there’s also the milliday, invented by the Swatch company as one-thousandth part of a day or a .beat, the lustrum to mark the five-year interval between Roman censuses, the indiction for the fifteen-year requirement for tax assessments in the Empire, a ghurry, the time it took a water-clock to empty, gauged to divide the day into sixty intervals or rather twenty-four minutes and the chelek (חלק) one eighteenth of minute from the Babylonian for one degree of celestial rotation and a momentum, a medieval reckoning of the hours by the sun-dial, about forty moments for each twelve-hour solar day—as well as more informal but countable units.

erfundene mittelalter (11. 262)

Via Strange Company, we find ourselves directed to a real rabbit-hole of a conspiracy theory wrapped in the guise—possibly earnest and wholly without cause (like the counterfeit Donation of Constantine)—of scholarship articulated by academician Heribert Illig in 1991 known as the Phantom Time Theory, positing that events occurring in a three-century span from 614 to 911 were fabricated, advancing the Anno Domino dating system ahead in order to place the rule of either Pope Sylvester II, Holy Roman Emperor Otto III (plus legitimising his claim to the throne) or Byzantine emperor Constantine VII Porphyrogenitus in power during the millennial of the death of Christ and ruling at the moment of the return of Jesus. Otto and the Pope made it but not Eastern emperor.  The fact that many manuscripts from the time are acknowledged copies of lost originals and including forgeries (see also), the preponderance of Romanesque architecture present after the influence should have abated and the introduction of the Gregorian calendar, adopted in phases, did not mathematically correct its predecessor (the reform was never intent on correcting and revising the the length of the year back all the way to its inception in 45 BC but rather to its state during the Council of Nicaea—covering this supposed three century discrepancy—when tying the date of Easter to the vernal equinox) and a fact that an alliance between the above three rulers, each preserving his magesteria, was likely, led Illig to conclude that personages and events like Charlemagne and his dynasty (for whom Otto had specious claim as no Caroligian, Frankish heir) led Illig to conclude that this period of history was an elaborate fraud, with retrograde, retroactive chronicles created and a populace willing as well to spring forward in time to be present for the Second Coming, though later the loss of a couple of weeks (or an hour) was seen to draw popular ire.  The alliance amongst these three potentates was strong enough, the theory suggests, to collaborate to create a revised timeline, though the idea is refuted as pseudoscience by medievalists, archaeological evidence, dendrochronology and of course recorded histories outside of western Europe.