Sunday, 1 June 2025

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!  

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

cowardcore: milquetoast Pride apparel collections—via Super Punchsee 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

Tuesday, 27 May 2025

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

Saturday, 24 May 2025

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.

Friday, 23 May 2025

11x11 (12. 481)

ฮฝ 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 Erdล‘s 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

Wednesday, 7 May 2025

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

Monday, 28 April 2025

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

Thursday, 10 April 2025

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 

 ๐ฆ‰: 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  

ื₀: 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

Friday, 28 March 2025

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 ร†ther Mug at the link above.

Thursday, 27 March 2025

9x9 (12. 340)

us agency for global media: Voice of America director files lawsuit over ordered closure—a federal judge issues a temporary stay   

pecksniffian paragraph: Trump as a Dickens’ stock character over his sermonising on transgender military service members   

entomological adultery: the 1912 Cameraman’s Revenge painstakingly animated by Wล‚adysล‚aw Starevicz 

deterministic bit generator: a financial institution’s experiment with quantum computing generates certifiably random numbers with applications in auditing and encryption—see also   

the memes have entered the chat: the internet responds to Signalgate (aka whiskeyleaks)

arts dรฉcoratifs: rediscovering Betty Joel, Britain’s forgotten maven of Art Deco design—part of a centenary celebration of the movementsee previously

the population of an old pear tree: an 1870 work by Belgian author Ernest van Bruyssel celebrating biodiversity and insect life 

import/export: ahead of the planned tariff action for 2 April “Day of Liberty” Trump announces twenty-five percent duties on foreign cars and components, triggering retaliation 

are you sure ms kerger—because he is red: NPR and PBS testify before congress with its federal funding at stake—see previously

synchronoptica

one year ago: anatomised police lineups (with synchronoptica), assorted links to revisit, a classic from U2 plus a Nordic Easter witch

seven years ago: the dynamic Cosmos, more links to enjoy plus Everything’s Coming Up Simpsons

eight years ago: backmasking and the Satanic panic, the show with the mouse plus the Bombay Sapphire distillery

nine years ago: Easter greetings, revisiting the Leipzig Panometer plus a canting dialect

ten years ago: Holy Blood, Holy Grail, even more links, poet Paul Verlaine plus affecting a holiday accent

Friday, 24 January 2025

12x12 (12. 179)

contraception begins at erection: Mississippi lawmaker has introduced a bill called ‘contraception begins at erection’ outlawing male masturbation, hoping to bring balance to the reproductive rights’ restriction that focus on women—via the New Shelton wet/dry  

obayashi world: Japan’s most Lynchian filmmaker  

so long and thanks for all the fish: Joan Ocean’s Dolphin Connection—via Web Curios  

crass competing abstrusities: official, sanctioned transcription of US secretary of state Marco Rubio (้ฒๆฏ”ๅฅฅ) changed—possibly as a way to get around the ban the Chinese government itself imposed plus other politicians’ names—see previously  

 
but if you don’t make your product in america—which is your prerogative—then very simply you will have to pay a tariff: though vacillating somewhat on his commitment and working from home, Trump delivers a message to the Davos WEF summit  

she was nasty in tone, not compelling or smart: Bishop Budde won’t apologise for her appeal for mercy and hospitality  

the birthright citizens’ brigade: a list of organisations pushing back against the slide to authoritarianism in the US  

dreiundfรผnfzig tage: how Hitler dismantled a constitution republic through constitutional means  

xanthelasma: Florida man on diet of beef, cheese and sticks of butter oozes cholesterol from his skin—see also—via Miss Cellania  

a catalyst for curiosity: Wikenigma documents the unexplained—via Kottke—those scientific and academic questions that evade a definitive answer, like the Collatz conjecture 

you remind me of the babe: Robert Eggers to make a sequel for Labyrinth  

unplanned pregnancy: as an encore to freeing all the January Sixth rioters, Trump pardons dozens of anti-abortion protesters, some jailed for violent tactics to block clinic access and intimidating doctors ahead of the Right to Life March

Tuesday, 21 January 2025

pangram (12. 170)

In recreational and trivial mathematics, a pandigital number is value that uses its digits at least once (usually without redundancy), the first of which in base ten radix is 1 023 456 789 (one billion, twenty-three million, four hundred sixty five thousand seven hundred eight nine) and chiefly have applications in fiction and commercial advertising to display a sample credit card or identification document or phone number—reserved in many cases so they are associated with any real individual. The smallest number in Roman numerals is 1444—that is, MCDXLIV. A pandigital number in base thirty-six notation (heexatrigesimal) would use all numbers and all letters—except zero. Despite their non significant nature in terms of maths, they do possess some interesting and unexpected properties, such as the zeroless palindromic pandigital number 12345678987654321 is the square of 111111111—called a repunit—that is a number with only one digit.

Saturday, 4 January 2025

pomega (12. 142)

Via Clive Thompson’s latest Link Fest, we are introduced to another chaotic twin of ฯ€ called ฯ–—from the above script variant of pi, also called varpi—that represents the transcendental mathematical constant ratio of the perimeter to the diameter of Bernoulli’s lemniscate, analogous to the way pi defines a circle. The foci of the elliptical plane are equidistant in this figure which has applications in orbital mechanics (see previously). The curve having a shape similar to a figure 8 or the infinity symbol, ♾️, is from the Latin for something bedecked with hanging ribbons and occur in nature as often as the perfect circle. Much more from John Carlos Baez at Mathsodon at the link above.

Friday, 27 December 2024

mmxv (12. 116)

Numerically speaking, the coming year has some compelling arithmetic properties—albeit some are classified as amusing puzzlers without mathematical significance, though nonetheless worthy of exploration—foremostly being that it is a square that remains square if all its digits are incremented: itself a square (45²), the sum of three squares (5² + 20² + 40²) and the product of two squares (5² x 9²), the sum of a 9x9 multiplication table, and split as (20 + 25)² = 2025. Moreover by both American and European calendar conventions (because of the communicative property of addition) 24 July is a Pythagorean Day, with 24² + 7² = 25², like the last one on 16 December 2020. More from Futility Closet at the link above.

Friday, 29 November 2024

the thirteenth floor (12. 042)

Although acquainted somewhat with taboo numbers and avoidance of certain addresses, I hadn’t seen it in practice—admittedly applying my own form of lore and arithromania to disbursements when paying bills and try to have a figure four in there albeit mindful that auspicious dates, versions can deceive—and enjoyed this enlightening overview from Language Log in the form of a superstitious elevator panel, removing the fourth storeys as a homophone for death (ๆญป, sรฌ, sฤญ), or more specifically according to the Eighteen Level of Hell in Chinese mythology, as elaborated in Journey to the West, the association with the Mirror of Retribution, the literal “evil mirror platform” (ๅญฝ้ก่‡บ)—accounting for further omissions for those wanting to bypass the degrees of purgatory awaiting the ones dodging dharmic-for-karmic justice in this life. Much more at the links above.

Sunday, 17 November 2024

julian day zero (12. 009)

Introduced by the Smithsonian Astrophysical Observatory in 1957 to track the orbit of Sputnik with a thirty-six-bit mainframe, to save on memory and compute resources by expressing time-coordinates in just eighteen-bits through 7 August 2576, the Modified Julian Date system simply dispatched with the proceeding two-million four-hundred-thousand days of history from the dawn of the calendar, counting backwards and resetting the number at noon on this day in 1858, often further truncated. This was also the reference epoch (see previously) for the earliest operating systems, chosen in part as it predated most modern record keeping. Because of the continual count, it is easier for software to process the intervening time elapsed between two events for applications like calculating interest, sell-by-dates for perishable inventories, etc, in the same was computers can’t really perform mathematical operations except by matrices. The Julian Period was proposed by sixteenth century academic Joseph Justus Scaliger (a year after the unrelated calendar was replaced in most of Europe by the Gregorian one) as the sum product of three calendrical cycles that comprise the system, twenty-eight solar cycles, nineteen lunar cycles and fifteen indiction cycles (the periodic census and tax reassessment of the Roman Empire that occurred every fifteen years)—or a span of seven thousand nine hundred and eighty years, reaching back in time under the assumption that all were synchronised at the beginning of time. Scaliger calculated this to be 4713 BC, well before any events in recorded history known to him.

Saturday, 16 November 2024

bleuje (12. 005)

Our thanks to Web Curios (a lot more to explore there) for giving us the proper provenance and credit for a cache of mesmerising animated GIFs that we had saved our our sandbox with a direct link to the artist’s gallery and other projects including coding, simulations, previous collaborations and more visualisations. By Etienne Jacob, these moving, looping studies in maths and geometry are certain to soothe and inspire.

Friday, 1 November 2024

i’m feeling lucky (11. 952)

A court in Moscow has imposed a symbolic fine of ₽2 undecillion (around $20 decillion, a thirty seven digit figure that far exceeds all the money in the world but still magnitudes less than a googol) on the parent company of search engine Google and YouTube for blocking seventeen of the country’s media outlets and news channels following the 2022 invasion of Ukraine, to curb the spread of disinformation and propaganda. The calculation comes from an original ruling that penalised the company with one hundred thousand roubles per day (around a thousand dollars) per plaintiff that the channels were not restored, doubling weekly—hence the exponential growth—for non-compliance. Youtube remains available within Russia though threats to ban it for not showing state-controlled broadcasts remain on the table. For its part, Alphabet is not to concerned about on going litigation.

Sunday, 20 October 2024

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 (้˜ฟๅผฅ้™€็ฑค, after the aspect of the Buddha associated with discernment and perception), in Korean as Sadaritagi (์‚ฌ๋‹ค๋ฆฌํƒ€๊ธฐ, ladder climbing) and in Chinese as Guijiaotu (้ฌผ่…ณๅœ–, 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.

Saturday, 7 September 2024

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

Sunday, 1 September 2024

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