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On the felicities of graph-based game-board design: thirteen

Friday, December 21st, 2018

[ by Charles Cameron — the Trinity and National Security, Game Boards and Mathematics, Japanese wave patterns, Maestro Harding on the interconnectedness of “all branches of human knowledge and curiosity, not just music” — plus Blues Clues at the tail end ]
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Not only have the last couple of days been riotous in Washington, with more news to track than I have eyes to see, but today, still reeling under the weight of Mattis‘ resignation, McConnell‘s statement in support and other matters, I found myself with a richesse of board-game and graph-related delights.

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Trinitarian NatSec:

Followers of this searies will be familiar with the Trinitarian diagram juxtaposed here with its equivalents from classical Kabballah and Oronce Fine:

That little triptych is from my religion and games avenues of interest, but of course I’m also interested in matters of national security, as befits Zenpundit, the strategy & creativity blog. You can imagine my surprise and delight, then, in coming across a natsec version of the trinity diagram, in a tweet from Jon Askonas.

Here’s my comparison:

My own attention was first drawn to the Trinitarian diagram as a result of reading Margaret Masterman‘s brilliant cross-disciplinary work, “Theism as a Scientific Hypothesis”, which ran in four parts in a somewhat obscure and difficult to find journal, Theoria to Theory, Vol 1, 1-4, 1966-67.

See:

  • Margaret Masterman, George Boole and the Holy Trinity
  • Margaret Masterman’s “Theism as a Scientific Hypothesis”
  • **

    Game Boards and Mathematics:

    I could hardly fail to be intrigued by Calli Wright‘s piece titled The Big List of Board Games that Inspire Mathematical Thinking, eh? And look, the first game they show is a graph-based board game, Achi:

    Dara also looks somewhat relevant.

    **

    Japanese wave designs:

    Again, those familiar with my games will know of my juxtaposition of Von Kármán with Van Gogh as a DoubleQuote — but let me quote from an earlier post, Sunday’s second surprise — the Van Gogh DoubleQuote:

    Here’s the Von Kármán / Van Gogh DQ, which I value in light of Hermann Hesse‘s Glass Bead Game as a clear bridge between one of the crucial dualities of recent centuries — the needless and fruitless schism between the arts and sciences, which has given rise not only the rantings of Christopher Hitchens and his less elegant disciple Bill Maher, but to such other matters as the Papal condemnation and “forgiveness” 359 years later of Galileo Galilei, Charles Babbage‘s Ninth Bridgewater Treatise, Andrew White‘s A History of the Warfare of Science With Theology in ChristendomW, and CP Snow‘s The Two Cultures:

    karman gogh

    And finally, here’s an ugraded version of the other DQ of mine that seeks to bridge the arts and sciences — featuring Hokusai‘s celebrated woodblock print, The Great Wave off Kanagawa (upper panel, below) and Jakob aka nikozy92‘s fractal wave, which I’ve flipped horizontally to make its parallel with the Hokusai clearer (lower panel) — Jakob‘s is a much improved version of a fractal wave compared with the one I’d been using until today:

    SPEC-DQ-Hokusai-fractal v 2.0 minikozy92

    That brings me to the Met’s marvelous offering, to which J Scott Shipman graciously pointed me:

    Here’s where you get the collection:

  • You Can Now Download a Collection of Ancient Japanese Wave Illustrations for Free
  • Rich pickings!

    **

    Maestro Harding and the Glass Bead Game:

    Finally, I’ve been delighted today to run across a couple of vdeos of my nephew, Maestro Daniel Harding, conducting the Swedish Radio Symphony Orchestra some years back in programs exploring the interplay of mathematics and other disciplines and music:

    and:

    Daniel is not working the graph-based angle that my games explore, but his thinking here is pleasantly congruous with my own. His work with the SRSO has, he says in the first video here, “to do with all branches of human knowledge and curiosity, not just music — because everything is connected”.

    You can’t get much closer in spirit to Hesse‘s Glass Bead Game than that!

    **

    Earlier in this series:

  • On the felicities of graph-based game-board design: preliminaries
  • On the felicities of graph-based game-board design: two dazzlers
  • On the felicities of graph-based game-board design: three
  • On the felicities of graph-based game-board design: four
  • On the felicities of graph-based game-board design: five
  • On the felicities of graph-based game-board design: six
  • On the felicities of graph-based game-board design: seven
  • On the felicities of graph-based game-board design: eight
  • On the felicities of graph-based game-board design: nine
  • On the felicities of graph-based game-board design: ten
  • On the felicities of graph-based game-board design: eleven
  • On the felicities of graph-based game-board design: twelve
  • **

    BTW:

    NatSec, yes, and a DoubleQUote. Too good to miss. Thanks again to John Askonas..

    Journal — Illuminatus! trilogy, QAnon!! and more..

    Monday, August 20th, 2018

    [ by Charles Cameron — a dayalong cabinet of curiosities, really — the essence of creativity, paradox, and America, via conspiracies this way and that, contrasts between clearances, and key Rwanda para from the NYorker ]
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    Here’s a Diary — a miscellaneous catch-all for today :

    **

    **

    Robert Anton Wilson, The Illuminatus saga stumbles along:

    Wilson and Shea derived much of the odder material from letters sent to Playboy magazine while they worked as the editors of its Forum.[19] The books mixed true information with imaginative fiction to engage the reader in what Wilson called “guerrilla ontology”, which he apparently referred to as “Operation Mindfuck” in Illuminatus!

    Wilson and Shea mashed up the ten thousand conspiracies and facts of their times to create one fact-spattered fiction, the Illuminatus! trilogy — one from many, e pluribus unum ahem! — whereas in our own day the inventors of QAnon invoked a massive outpouring of different conspiracies within conspiracies:

    In November 2017, a small-time YouTube video creator and two moderators of the 4chan website, one of the most extreme message boards on the internet, banded together and plucked out of obscurity an anonymous and cryptic post from the many conspiracy theories that populated the website’s message board.

    Over the next several months, they would create videos, a Reddit community, a business and an entire mythology based off the 4chan posts of “Q,” the pseudonym of a person claiming to be a high-ranking military officer. The theory they espoused would become Qanon, and it would eventually make its way from those message boards to national media stories and the rallies of President Donald Trump.

    From many, one, and from one, many — Pythagorean sacred mathematics, America, expansive and synthetic thinkjing, the origins of paradox, essence of creativity — between one and many, it’s all there..

    **

    Quick thought:’

    We’ve seen Jared Kushner having his clearance restored, and John Brennan having his clearance withdrawn, but just fr the record, they bear considering in tandem, DoubleQuote style.. Right here I’m making the connection.

    **

    Rwanda:

    Key NYorker para on Rwandan warning to Kofi Annan, upon whom be the peace, requiescat in pace, a reminder:

    Annan then wrote, “We do not recall any specific reports from Kigali to this effect.” A review of the peacekeeping files, he wrote, had turned up only four cables from Kigali in the months preceding the genocide that mentioned “ethnic tensions as being possibly related—or not related—to specific incidents of violence.”

    But, in reality, one of the four cables Annan listed consisted of an alarmingly specific report of preparations for the genocide, sent by his force commander in Kigali, the Canadian General Romeo Dallaire, in January of 1994. Dallaire had heard from a trusted informant on the payroll of Rwanda’s ruling party, who described plans to “provoke a civil war,” and to kill Belgian peacekeepers in order to scuttle the U.N. mission. The informant himself said he was involved in drawing up lists of Tutsis in Kigali, and Dallaire wrote, “He suspects it is for their extermination. Example he gave was that in twenty minutes his personnel could kill up to a thousand Tutsis.” Dallaire asked for permission to act on this information by raiding and seizing illegal arms caches. Annan’s office replied at once, in a cable under his name, and signed by his deputy, telling Dallaire not to act but, rather, to follow diplomatic protocol and share his information with Rwanda’s President—the head of the party that Dallaire wanted to act against. Three months later, in April of 1994, everything that Dallaire described in his warning took place, and in the course of a hundred days around a million Tutsis were massacred.

    **

    Ordinary:

    Lovely prose, extraordinary normalcy in the New Yorker, Hearing Aretha Franklin’s “I Say a Little Prayer” in the Soviet Union

    I was gazing ahead, out the half-shaded window, sitting in the diffuse circle of warm light from a tall floor lamp to the left of me, with my elbows propped on the table and my head resting in the palms of my hands, in front of a half-empty bottle of an acrid, half-dry Bulgarian red called The Evening Bells and a white faience teacup with a chipped rim. In the boreal darkness outside, there was nothing for me to perceive but an irregular checkered pattern of blue- and yellow-lit windows in the apartment building across the way.

    Beyond those windows, perfectly and naturally unaware of my existence, ordinary Soviet citizens like me silently lived their ordinary human lives: hugging or ignoring one another, standing still in their kitchens in tank tops and nightgowns and saying something silently to someone unseen, flinging angry words at one another, gesticulating broadly and opening and closing their mouths, drinking tea, eating something greasy from an aluminum pan on the stove, or just staring into the night’s emptiness with unseeing eyes, their foreheads pressed against the windowpane, a slow-burning cigarette squeezed between their pressed lips.

    It is into such lives, among so many, that Aretha’s voice penetrates. Whenever we consider any of this world’s painful pasts, dire future threats, and potent presents, we should quickly run them up against all those audiences, normal and overwhelmingly influential, who may be affected.

    **

    I’m reminded..

    Okay, I saw that New Yorker piece today on the penetration of Aretha‘s voice into a bloc of Soviet flats in Leningrad, Hearing Aretha Franklin’s “I Say a Little Prayer” in the Soviet Union, and reading it, I’m reminded of the Japanese cult Aum Shinrikyo and its interest in nuclear, biological and chemical weapons.

    You’ll remember they attained world notoriety after attacking the Tokyo subway system with sarin gas.. Specifically:

    Aum dabbled in many different biological agents. They cultured and experimented with botulin toxin, anthrax, cholera, and Q fever. In 1993, Ashahara led a group of 16 cult doctors and nurses to Zaire, on a supposed medical mission. The actual purpose of the trip to Central Africa was to learn as much as possible about and, ideally, to bring back samples of Ebola virus. In early 1994, cult doctors were quoted on Russian radio as discussing the possibility of using Ebola as a biological weapon.

    So, here’s my take:

    Some journo sending an early report on the Ebola outbreak was read by someone involved in the Aum Shinrikyo chemical weapons team, who thereupon suggested a trip to Africa to Aum’s guru, Shoko Asahara. I’m sure the journo concerned wasn’t thinking that some member of a a relatively obscure Japanese cult would read their report! — but news ripples out to obscure corners of the world, Aretha‘s voice reaches Leningrad, news of an outbreak in Africa reaches Tokyo, more generally the world is porous, and these things have consequences…

    **

    The world is porous, and there are causes and consequences…

    On Mapping the Varieties of Risk

    Monday, August 6th, 2018

    [ by Charles Cameron — a theoretical question or suggestion, with serious or curious personal implications ]
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    This will get personal, but I’m aiming for a question or suggestion regarding the mapping of risks, in terms both of human life expectancy and of any and all other forms of risk assessment.

    moments to flatline — but enough of that

    **

    Well, well, I guess some predictive nethods may be better than others. Prophecy has the divine seal of approval, so there’s really no contest except When Prophecy Fails, as Festinger had the audacity to suggest.

    Fallback methods, in that event, include prediction, medical prognosis or actuarial life expectancy, mortality or maybe just morbidity, fortune-telling of various sorts — cookie, cookies, tellers, aura readings, tarot..

    And for myself, personally, there are various levels of risk that if mapped together would provide a graph with several nodes — to name the obvious, geopolitical risk, life expectancy, expectancy without dialysis, and bleed out.

    **

    Let’s takee a stab.

    By geopolitical risk I mean roughly what the Doomsday Clock of the Bulletin of the Atomic Scientists implies — not the time in minutes to Doomsday, but the risk that we’ll be fried in the next year or eight, three, fifteen.. forty-eight.

    The year just past proved perilous and chaotic, a year in which many of the risks foreshadowed in our last Clock statement came into full relief. In 2017, we saw reckless language in the nuclear realm heat up already dangerous situations and re-learned that minimizing evidence-based assessments regarding climate and other global challenges does not lead to better public policies.

    Eight years or forty-eight?

    Let’s hope Doomsday’s a long time coming, or indefinitely postponed.

    **

    Life expectancy:

    actuarial life table simplified, simplified

    Zeroing in, there’s my life expectancy / prognosis. A couple of years ago, a physician friend gave me (informally) fifty-fifty odds of living the year out, and revised his guesstimate upwards as the year inproved my condition. Okay, five years would get me to eighty, which considering my state of health (morbidity) may be a bit optimistic (mortality). I’ve heard of people on dialysis for sixteen years, and then there are those who get transplants..

    But if for some reason, my access to dialysis was cut off, I’m told I’d have eight to maybe twelve days — and Russians toppling the grid, or the President and Congress pulling appropriate insurance might switch me from optimist to Soli Deo Gloria

    — in double quick time.

    **

    And then there’s arterial bleed out, against which precautions are believe me taken. A minute? four? The equivalent, perhaps, of stepping on a jumping jack in Afghanistan? Kiss your Self goodbye.

    **

    So a number, a length of time, can be assessed for any one of these, and when people who study in the assessment of risk can give that number, backing it up with whatever persuasions they find appropriate. A number. 50-50. Three years. By my calculation, the Book of Revelation. By their calculation, the Doomsday Clock of the Atomic Scientists. What, as the younglings say, ev. But a single number, or more expansively, range.

    But here’s my question: does anyone have a graphical method for mapping all the variants of risk, say the ones I listed for my personal case?

    It feels a bit like a ratcheted system – failing death by nuclear annihilation or Yosemite blowing, there’s my prognosis, hopefully a matter of years. That can jum suddenly to days in the grid goes don (think Puerto Rico) — and leap toi a handful of minutes if, Black Swan forbid, a procedure fails and I’m unexpectedly bleeding out.

    So does anyonbe make ratcheted graps of how one risk slips to another?
    soli
    **

    >And my suggestion, if nobody has such a mapping scheme that I could give a look-see to, is that we should think about how to make such a mapping systen=m available.

    Thank you for reading, considering, responding to question or suggestion.

    Arts & Sciences, models & illustrations, Buddhas within mandalas

    Friday, June 29th, 2018

    [ by Charles Cameron — on the illustration, visualization and modeling of supposed reality — note: I am no scientist, no artist, in fact an aphantasic ]
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    A telling caption to an image in New Scientist gave rather more of the game away than was maybe intended.

    The image:

    The caption:

    We have no pictures of the real thing, so enjoy this one instead. Oliver Burston/Alamy

    **

    It’s a nice image, and could be used to represent Lise Meitner‘s discovery of nuclear fission, or some new feature of Kepler’s Supernova, or even, Lord knows, to sell collectible gold coin or diamonds.. And it brings up in acute form an issue I’ve long had with science — in the context of education and the last century’s growing indifference to the arts and humanities.

    How much of what passes for science in the pop science press is in fact art, and specifically photography? And as a sub-question, how much of the impact a particular piece of scientific work receives is dependent on the various qualities of the illustrations used to accompany and promote it — which all too often fit the description in the caption above:

    We have no pictures of the real thing, so enjoy this one instead.

    Or alternatively, shooting for something a little more frank, but not too terribly impolite:

    We have no pictures of the real thing, so enjoy this bullshit instead.

    **

    We hardly ever have a picture of the real thing — which occurs at nano-scale, or outside the visible spectrum, or —

    Well, some while back, we discussed (ignorantly, rest assured, De Docta Ignorantia, qv) a mathematical object of interest to physicists known as The Amplituhedron:

    The Amplituhedron can alternatively be illustrated thus:

    There’s a donut for anyone who can imagine what can possibly merit both illustrations!

    **

    On our way to an understanding of the Amplituhedron, we pass by diagrams such as this:

    — immediately followed by these words:

    Although it is hard to draw the complete four-dimensional polytope, its four three-dimensional faces each define square-pyramidal regions of G(2, 4)

    — as, for instance, this:

    **

    Oh, c’mon, it’s not that hard, just visualize it!

    Tibetan monks can visualize things like this 3-D palace replete with Vases, Wish-granting Trees, Bodhisattvas, Tathagatas and Shaktis, all surrounding the deity Kalachakra and his Consort, Vishvamata

    And the vajrayanist Tibetan practitioners, yes, manage this just by PhD and postdoc level visualization practice, with diagrammatic assists like this:

    — and a blueprint like this:

    — always bearing in mind that, eh, “Kalachakra is a black skinned, four-faced god with twelve arms and twenty-four hands, in passionate embrace with his consort”:

    Kalachakra and Vishvamata, from the Rubin Museum of Art

    **

    Ah, but that’s arts and humanities > comparative religion > Tibetan meditation, not sciences > physics > mathematical physics, eh?

    In all this, I intend to defend both science, properly so understood, as practiced bt qualified practitioners within its various subdisciplines, and arts and humanities, properly so understood, as practiced bt qualified practitioners within their various subdisciplines — while making clear the overwhelmingly important distinction that illustrations are all too often not science but STEM-propaganda, glossy / shiny objects passing for science while in fact falling under the categories of illustration or photography.

    **

    This isn’t, for instance, in any scientific sense, the Horseshoe Nebula

    It’s, as its title suggests, a reproduction of a compositie color image of the Horseshoe Nebula

    — and to be honest, it may bear as much resemblance to a horse’s head as this reoroductionf of a color image of a seahorse does:

    **

    Just let’s keep the arts’ contribution to science illustration filed under arts (illustration), and math diagrams filed under math (diagrams) — I’ve included some of both above — and maybe the arts and humanities will get to siphon off some of the excitement and funding currently pouring into the coffers of (poor little) science.

    Tibetan Buddhists FTW!

    **

    Ooh-wah!

    Art or science?

    Gravitational lens RX J1131-1231 galaxy with the lens galaxy at the center and four lensed background quasars

    That, at least, is what they tell me..

    If our toes were our fingers, if Pyongyang was Tehran

    Sunday, June 17th, 2018

    [ by Charles Cameron — metaphors, mathematics, and a question for you all ]
    .

    **

    There’s a toe ointment ad for Kerasil that begins:

    If our toes were our fingers, everyone would instantly notice the difference..

    — accompanied by various shortt clips of feet serving various functions of hands, see above.

    I’ll talk about fingers and toes, okay, if you’ll tell me about Pyongyang and Tehran, deal?

    **

    This is the first ad — or for that matter, mass media mention — I’ve seen of the hands / feet comparison, and that’s significant in itself because, along with day / night, sun / moon, fingers / toes must be one of the earlier comparisons on which we base all future comparisons / parallelisms / oppositions, and thus analogies, and by extension, metaphors.

    Fingers and toes, then, are an early matrix for us, but that matrix gets abstracted into the decimal counting system, no small matter in our culture and many others. And from decimals we can go to the Dewey Decimal System used in, Wiki informs us, 200,000 libraries in at least 135 countries — and that’s just one of the branches of the tree whose roots are in fingers and toes — our fingers and toes, not the toes of a three-toed sloth or woodpecker…

    And of course, the day / night, sun / moon and other dual contrasts arguably derive some of their power from the duality hands / feet, which also gives us left / right, sinister / right, right / wrong and the entire range of moral judgments, based on the two sides of the body and extrapolated from there. We seldom think of these things, unless perhaps in early education, but as Jung and others have noted, they hold great significance for psychology and cultural anthropology.


    image: the Nassau County Mathletes

    Using decimals, we can represent irrational numbers — impossible to represent as fractions, pi and the square root of minus one foremost among them — a notion so disturbing tto the purist Pythagoreans that Tobias Dantzig, in Number: the Language of Science, quotes Proclus as saying:

    It is told that those who first brought out the irrationals from concealment into the open perished in shipwreck, to a man. For the unutterable and the formless must needs be concealed. And those who uncovered and touched this image of life were instantly destroyed and shall remain forever exposed to the play of the eternal waves.

    Irrational, or just plain crazy? And those waves — a metaphor for randomness, chaos, or for the universality (via Fourier transforms) of the sine wave?

    Oh. And when a zen master wants to set a student a problem that cannot be solved by our binarily inclined minds, he gives them the koan “what’s the sound of one hand clapping?”

    **

    Okay, that’s enough about about hands / feet — now let’s hear about the Pyongyang summit and the Iranian nuclear deal — the Joint Comprehensive Plan of Action. I’m sure you have plenty of thoughts on the matter — your turn, please..


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