A Daily History of Holes, Dots, Lines, Science, History, Math, the Unintentional Absurd & Nothing |1.6 million words, 7500 images, 4 million hits| Press & appearances in The Times, Le Figaro, MENSA, The Economist, The Guardian, Discovery News, Slate, Le Monde, Sci American Blogs, Le Point, and many other places... 4,200+ total posts
JF Ptak Science Books Quick Post in the History of Lines series
This is a one square inch detail of an engraving of a mosaic (published ca. 1840) from the "Pseudurbana" at Herculaneum. Evidently it was excavated in the very early 19th c (ca. 1807) and was known as "villa pseudurbana of M. Arrius Diomedes, or the villa of Aufidies" according to Eugene Dwyer in Pompeii's Living Statues...(2010, pg 14). This wasn't intended to be inspected so closely, but it mostly withstands the high magnification.
This is a quick follow-up to an earlier Found Book Art found in another pamphlet by Dorothy Dix. (Dorothea L(ynde) Dix (1802-1887) was an nurse and ultratrian, a very-much-practiced humanitarian who for years fought for the stabilized and just treatment of people with disabilities, mainly and for extended periods of time and travel for those suffering from mental diseases and development. Read more here http://longstreet.typepad.com/thesciencebookstore/2014/07/dorothea-dixs-report-on-the-state-of-the-indigent-insane-in-the-us-1848.html)
The present Dix pamphlet has another perfect little in the string used to bind the pamphlet together tie:
[Source: DIX, Dorothy L.Fifth Letter to Convicts in State Prisons and Houses of Correction, or County Penitentiaries. “Printed but not published”, November 1950. 18.5x12 cm, 24pp. Provenance: Smithsonian Institution (with their small oval rubberstamp), and the Library of Congress (with their surplus duplicate stamp on back page).]
I found this article, "The Negro Transient", by Herbert C. Jenkins, in Opportunity, Journal of Negro Life, January 1935, while looking for support material for an F.S.A. publication on immigration of "drought sufferers" and the indigent poor. It is an interesting account of an African-American experience of part of the Dust Bowl, with a number of interesting collections of data and stats for "travelers" in the St. Louis area in 1935. These "travelers" of course were folks who took it hard from the Depression and from the great and dismal drought that killed many American farms throughout the Mid-West and West, and so they hit the road looking for the opportunities that dried up and blew away at home. The new sense of "home" would be defined as anywhere there was work or benefit, which were difficult things to find in the sixth year of the Great Depression.
One of the Roosevelt administration's aid to helping this large population on the move across the country was the 1933 creation of the National Association for Travelers and Transient Service, which was an outgrowth of regional Traveler Aid societies, many of which were formed in the 19th century and focusing their attention on immigrant issues and the poor. The federal program did its level best to provide shelter, food, medical aid, education, and other services to help and even improve the state of the homeless, the poor, and the Dust Bowler--in many cases the widespread assistance to people in need was unprecedented.
The fascinating part of the story in Opportunity was the African American angle on population-in-motion. The author, Herbert C. Jenkins, reports that "The November issue of the Transient, a bi-monthly publication issued by the National Association for Travelers Aid and Transient Service, states that there were 249,975 individuals under care in Federal Transient Bureaus October 15, 1934." And "As in every movement of nation-wide scope Negroes contribute their quota to this transient army. There are no available figures at hand to show the percentage of the number under care in various bureaus, but because of the traditional "last to be hired and first to be fired" policy which exists in industry they doubtless constitute a substantial number of these wanderers." Jenkins proceeds to establish data that gave a peek into the African American part of the issue.
"Let us leave our old friend in one of those moments of unmixed happiness, of which, if we seek them, there are ever some, to cheer our transitory existence here. There are dark shadows on the earth, but its lights are stronger in the contrast. Some men, like bats or owls, have better eyes for the darkness than for the light. We, who have no such optical powers, are better pleased to take our last parting look at the visionary companions of many solitary hours, when the brief sunshine of the world is blazing full upon them."--Charles Dickens, Pickwick Papers, page 518.
If I were on the Moon I think I would miss the obscurity of shadows--while being partially obscuring, they also enable highlight and brilliance in the place not in shadow. This is the controlled darkness of Goethe, who also found the production of color in the intersection of light and shadow. In the sciences ennumerating the optical art of shadow there is probably no one as poetic as Goethe on this subject, at least before 1900. The great master of optics, Isaac Newton, wrote on shadows (that is a pretty good title for an essay!) with seering insight but of course with no visual-literary poetry of any kind whatsoever, as a matter of fact his "'Enumeratio linearum tertii ordinis" ("Enumeration of lines of the third order, generation of curves by shadows, organic description of curves, and construction of equations by curves) which was originally printed as an appendix to Optics (and then published in Opuscula) was like a black hole of poetry, anti-poetic--except of course for the staggering genius that went into it all.
And so these dreamy thoughts were brought out by this not-so-simple study of frammenti, found in the volume 1/1 of MIT's first architectural journal, Technology Architectural Review, published in 1887. These shadows are excellent--there's a lot going on in these layers of differentiated light.
Check of other bits on this blog on shadows by entering that word int eh Google search tool.
“The object of this work is to awaken the producers to a consciousness of their industrial power. It is dedicated, not to those who advocate but to those who use sabotage.”--Walker C. Smith, in the second of his miniature two-paragraph foreword in Sabotage (1917 edition)
[The original pamphlet is available from this blog's bookstore, here.]
Walker Conger Smith (born 1885 on the same day that Babe Ruth and Elvis Pressley died in later years) was a hard line political seer, a magical agitator and writer for the Wobblies, officially known as the Industrial Workers of the World (and the I.W.W.) He lived a busy 41 years, and in his time raised a lot of attention to the IWW's Socialist vehemently pro-Union organizing, during a time (1910-1927 or so) when big business would respond with their won police/strikebreakers/armies to disrupt and dispel (and trounce) strikers and strikes.
One of Walker's best known works was Sabotage, its History, Philosophy & Function. First published in 1913 and then widely reprinted, it made the case for poor pay for poor work, and that in the long run the wealth produced by the workers belonged to them, and so work slowdowns and then destruction of the means of production was well within the rights of the wronger worker.
The pamphlet certainly found a readers--on both sides of the issue. It was regularly used in legal actions against Unions as proof of their criminal syndicationism and of organized destruction of business/factory property.
The pamphlet ends with these very strong statements:
"Its [Sabotage's] advocacy and use help to destroy the property illusion"...
"Is the machine more than its makers? Sabotage says "No!"
"Is the product greater than the producers? Sabotage says "No!"
"Sabotage places human life--and especially the life of the only useful class--higher than all else in the universe."
...."For Sabotage or for slavery? Which?"
The pamphlet ends with a salutation from Jack London:
"Dear Comrade Smith:
Just a line to tell you that I have finished reading your pamphlet SABOTAGE. I do not find a point in it on which I disagree with you. It strikes me as a straight-from-the-shoulder, clear, convincing, revolutionary statement of the meaning and significance of sabotage.
Perhaps the only bigger five put-together lines than Feynman diagrams may be home plate; otherwise I’m hard pressed to come up with a better thing that can be drawn in this way with this many lines.
The impossibly smart Richard Feynman (1918-1988, Nobel in 1955 for the development of quantum electrodynamics; physics of superfluidity; path integral formulation of QM, etc.) worked on a schematic that would visualize quantum electrodynamical interactions, the scattering calculations in QFT describing interactions between particles The result is known by nearly everyone on earth as Feynman diagrams. (Murray Gell-Mann, another Nobelist and ueber diligent partner and competitor of Feynman’s, and perhaps as influential a physicist (with the Eightfold Way and etc.), refers to the diagrams as (Ernst) Stuckelberg diagrams, named for a once-obscure physicist who, among others, came up with an early schemata closely resembling Feynman diagrams.) They are an elegant and powerful redistribution of complex arrangements that are more easily calculated when visualized.
The images here are the first time the diagrams were published, and are found in the 15 September 1949 issue of the Physical Review after having been introduced in conference and class work (at Cornell int eh 1948/1949 QED course that Feynman taught there). They are among the top-10 prettiest pictures in physics of the 20th century.
Their descriptive power is matched only by their crystalline simplicity—few diagrams have ever been constructed with a greater claim.
The idea behind this extraordinary image below is the construction of an 8x8 magic square capable of describing BOTH the Knight's tour (" a sequence of moves of a knight on a chessboard such that the knight visits every square only once...if the knight ends on a square that is one knight's move from the beginning square) WITH the resulting moves forming a series of magic squares. It is the product of a Kiwi engineer named Sturmer, and appeared in the Scientific American Supplement for 1888.
Eric Weinstein says in his article "There Are No Magic Knight's Tours on the Chessboard" on Wolfram's Mathworld site says, well, such a thing is not possible. "After 61.40 days of computation, a 150-year-old unsolved problem has finally been answered. The problem in question concerns the existence of a path that could be traversed by a knight on an empty numbered 8 x 8 chessboard."
Weinstein is concise: "Not surprisingly, a knight's tour is called a magic tour if the resulting arrangement of numbers forms a magic square, and a semimagic tour if the resulting arrangement of numbers is a semimagic square. It has long been known that magic knight's tours are not possible on n x n boards for n odd. It was also known that such tours are possible for all boards of size 4k x 4k for k > 2. However, while a number of semimagic knight's tours were known on the usual 8 x 8 chessboard, including those illustrated above, it was not known if any fully magic tours existed on the 8 x 8 board."
I was looking through a very heavy volume from 1924 of Military Engineer and came upon a very large folding map1. It was vanilla on the outside and stayed so, opening only the back of the map through one, two, three, four (!) unfoldings, not yet revealing itself, until it was at it full width, and then unfolded once down, which opened to the middle of the map, which was a mass of lines and shading of brown and gray. Another unfold up, and then another down, and more of the same, so much detail that the context still was hidden. I unfolded the bottom half of the map three more times and at the bottom was the town "Regret". My right hand obscured the name of the much larger and antique-fortified town, which turned out to be the military-sacred city of Verdun. When I unfolded the top of the map--making it about four feet long--I saw that it was for development of the battle and lines of communication and placement of troops and so on for part of the Autumn of 1918. And trenches.
(This was actually "Verdun B", the mate of "Verdun A", which together form a huge and wildly complex 4x4' map. )
This was a reprint six years later of the 34th edition of this particular map--that is a lot of editions. But this was a lot of place, Verdun. A fluid place of ordered killing chaos that was as dynamic as it was occasionally static, starting in a very contained space of massive fighting that took place from 21 February to 18 December, 1916. The map is of a place that was about the longest, costliest, and deadliest battles that humans have come to, so far. Casualties were about the same on each side (370,000 French and 340,000 German) and totaled about 710,000 people, though scholars argue the point, some coming to a figure much higher, approaching a million. That makes 70,000-100,000 per month for the battle, which was like a war in itself.
There were probably two million soldiers in motion here, at Verdun, in a relatively tiny area, with front lines extending about five miles or so, the battlefield being fairly narrow from point to point, perhaps totaling 20 square miles of heavily bombarded/shelled ground. It was a terrifying place to be, and I'm certain that it must have scarred forever hundreds of thousands who survived the ordeal.
Unfortunately Verdun 1916 was only about the half-way point of the war, with these maps generated to show artillery targets for the American entry in the war for action that would take place just before the end of the war on the 11th hour of the 11th day of the 11th month of 1918. This was the French Fourth Army and the American First Army which attacked on a front from Moronvillers to the Meuse on 26 September 1918 through the end of September, and from which the German army began its gradual withdrawal from the area, continuing right up to Armistice Day.
Ultimately whenever I think of this war things usually boil down to Dalton Trumbo's Johnny Got his Gun, which was required reading in my freshman year of high school in 1970.
1. Journal of the Society of Military Engineers, volume 16, 1924; the map titles are "Tranchee Francaise schematique a la date de 1er Sept 1918" and "Carte Generale des Objectifs d'Artillery".
Thomas Wright (1711-1786) saw about as deeply into the deep as just about anyone else--he looked into the night sky and pretty much saw all of it. In his book, An Original Theory or New Hypothesis of the Universe, Founded upon the Laws of Nature1, he described a version of the universe that was influential in the thinking of Kant and Herschel, finding a rectangular/squashed "finite infinity" of stars, "a vast infinite Gulph, or
Medium, every Way extended like a Plane,
and inclosed between two Surfaces".
Our Milky Way, which at the time was thought to be the entire universe rather than a galaxy as it was later discovered to be--one galaxy in a seemingly endless sea of galaxies--was presciently seen by Wilkins as being but one assembly of stars in an "endless immensity" of stars:
"And farther since without any impiety; since
as the creation is, so is the Creator also magni-
fied, we may conclude in consequence of an in-
finity, and an infinite all-active power; that is
the visible creation is supposed to be full of si-
derial systems and planetay worlds, so on, in
like similar manner, the endless immensity is an
unlimited plenum of creations not unlike the
known Universe."--page 143. (Again, the "Universe" eferred to here is the Milky Way galaxy.)
Wright's vision of this plethora of Universes, in which each creation is one like the Milky Way--a radical thought in 1750:
[Part of me wants to include the first Wright engraving in this blog's series on the History of Lines, seeing as how they represent the great Something that seem to be infinitely binding the infinity of universes...]
Wright also writes on the minuteness of the human condition, of the perfect sense of nothingness that is the Earth in a sea of infinite possibilities of other earths and earthy creations, which was definitely an outpost of thinking in 1750:
"In this great celestial creation, the catastro-
phe of a world, such as ours, or even the to-
tal dissolution of a system of Worlds, may pos-
sibly be no more to the great author of nature,
than the most common accident in life with us,
and in all probability such final and general
doom-days may be as frequent there, as even
birth-days, or mortality with us upon the Earth.
This idea has something so cheerful in it, that
I own I can never look upon the Stars without
wondering why the whole world does not be-
come Astronomers; and that men endowed with
sense and reason, should neglect a science they
are naturally so much interested in, and so ca-
pable of enlarging the understanding, as next to
a demonstration, must convince them of their
immortality, and reconcile them to all those lit-
tle difficulties incident to human nature, with-
out the least anxiety."--page 132
1. The full title: An Original Theory or New Hypothesis of the Universe, Founded upon the Laws of Nature, and solving by Mathematical Principles the General Phenomena of the Visible Creation ; and particularly the Via Lactea. Comprised in Nine Familiar Letters from the Author to his Friend. And illustrated with upwards of thirty graven and mezzo-tinted Plates by the best Masters. London, MDCCL." Full test, here.
2. An odd note about Thomas Wright's personal history, from Science, 1902: "A word, in passing, about Wright. Like many another, so unfortunate as to live ere the
times were ripe, he has been consigned to unmerited oblivion. Even the writer of the entry upon him in the ' Dictionary of National Biography '—a work so uniformly accurate — is unaware of the sources from which information could have been obtained, and so has nothing to tell, — does not even know the dates of his birth and death, or why he was called 'of Durham."--[Science, N. S. Vol. XIII. No. 321. 2-22-1902
An interesting poem by Rafinesque to start of his edition of Wilkins:
"Where ends the range and limits have been set
To mortal eyes, there mental sight begins
To fathom space, and worlds invisible
The mind must feel that space can have no bound*,
Whatever number be of things or thoughts
Others may be beyond—and thus behind
The Nebulas and Belts, our Galaxies
Of stormy clouds and oceans
There stands the central land and throne
Of our wide Universe, the home of Angels,
The seat of Love Divine"
Rafinesque, Poem on Instability, found at the beginning of Rafinesque's 1837 American edition of Wright's 1750 work.
The idea of being on the receiving end of these lines on 6 June 1944 is terrifying. General Rommel pretty much figured out what was going to happen, and sort of when it was going to happen, but he was kept out of the strategy loop even though he was in charge of the German defences here, unable to convince Hitler to move men and machines southward to meet the invasion where he thought it was going to come rather than strengthen the position of defence in a place where he knew the invasion wasn't coming, which was Pas de Calais. The pull of war by this time had destroyed the Luftwaffe, and German high command had been destroyed by Hitler--or at least communications and straegy within the command system of the German army was very highly compromised. In any event, once the invasion had begun, there was not much hope for the Germans--it had been a complete surprise, with the huge efforts of misdirection playing themselves out beautifully. So beautifully, as a matter of fact, that once the invasion was well underway it was still a matter of no small debate as to where the "real" invasion would take place. Even after the airborne divisions began landing some hours before the assault began, it was only the elderly and problematic General von Rundstedt who reacted appropriately, believing that the airborne assault was far too large to be a feint, and ordered two reserve panzer divisions to Normandy. the amount of men and materiel moving onto Normandy was gigantic, impossible, overwelming, as some part of this map makes clear.
JF Ptak Science Books (Revisiting an earlier post from 2008 with a added details).
While sitting at the edge of a stream in a flowing dress and shading herself with a yellow parasol, my wife and the jewel in the crown, the brilliant Patti Digh, wrote a superb essay on following the paths less marked. (Maybe I'm making up the parasol bit. And the stream. And flowing dress.) I've always been a happy observer of found geometries, and her essay heightened my awareness to them, along with the conscious efforts that we may daily make to enforce these lines or follow a new, multi-dimensional geometric path.
So when I stumbled across this map of Alexander Pope's garden and noticed the odd paths winding their way through it, and how much in contrast this was to the very sniffy upper crust English garden of the 18th century, Patti's essay lit instantly to mind—and also because in addition to being a geometer of emotion and thought she was in a past life a U VA English Master.
Pope's garden was an irregular path in an irregular garden, that garden being his leased property at Twickenham, where he came to live in 1717, along with his mother and his boyhood nurse, Mary Beach, and his dog Bounce.
Pope's garden was an irregular path in an irregular garden, that garden being his leased property at Twickenham, where he came to live in 1717, along with his mother and his boyhood nurse, Mary Beach, and his dog Bounce. (Actually that would be a series of dogs as he named them all "Bounce".) Pope was a poet and satirist and critic and general taste-maker-the social influence extending even to garden-making, as his was famous even during his lifetime, and not for the reasons that most English gardens were famous.
His was not the planned regularity of the gentility (and far of course from the suffocating, critically flawed gardens at places like Versailles, "Is there anything more shocking than the regularity of a planned garden?" asks Batty Langley in his New Principles of the Gardening… 1728), and were removed from the "normal", more articulated garden. I've never really understood the formal garden, especially as it relates to the ancient analogies of gardens and paradise-the Garden of Eden, Pliny's Garden of Venus, Lucretius' Earthly Paradise, seem as though they might be some sort of paradisical thing (though we won’t address Bosch’s Garden of Earthly Delights) , but the formal gardens and its paradise relationship seems odd, what with the removal of nature's "chaos" and all, unless that was indeed the Master Plan.
But the mathematical garden was a desirous thing—still is—and none other than Christopher Wren wrote that it was “naturally more beautiful than any irregular figure” (1750). There were some critics of the math garden, like Mr. Langley, but most garden designers wrote and argued in favor of it, coming to the similar conclusion of John Dennis, in that the Universe, being “regular in all its parts” would dictate that its beauty be found as regular in other things too, “and it is that exact regularity that [the mathematical garden] owes its admirable beauty” (1704). Pope didn't seem to address (in print) the garden idea formally except for a few places-- Pope praised 'the amiable simplicity of unadorned Nature' in a famous essay, published in The Guardian in 1713, and then again in his message to Burlinton in 1731.
The plan of Pope’s garden was somewhat irregular, but to me the most appealing aspect was the irregularity of the paths that curled and snaked their way through the garden. And particularly, what about the lower part of the path along the bottom of J. Serle’s 1725 engraving? What was that path in Pope's garden leading to, or from? Was there a particularly nice tree there, a favorite spot, a cool shade, an odd bit of sunshine at sundown? Or was this wall-clinging path just the workman's route?
Perhaps these weren’t Pope's principal desire lines in the garden—in fact, the garden desire lines weren’t the garden at all— they might’ve been under it. Pope’s famous grotto at Twickenham may be better known than his garden-it certainly sounds much more interesting. Followed his own desire line, underground, in his famous grotto, which he began to build shortly after arriving at Twickenham, and which was still under construction at the time of his death.
The unseen desire lines of Alexander Pope seem more fitting to me, more poetic, what with Pope needing to dig out the earth in order to find what he was looking for, rather than a more simple wandering around his fine, rustic garden.
Have a look at the materials house in the grotto/cabinet of curiosity here, along with a commendable plan of the grotto itself.
One thing that you seldom see so juxtaposed in the photographic history of the American West are the people who were so important to it placed in proximity to those who were no well disposed to recording their existence.
For example: this image by J.B. Silvis, "China Section Gang Promontory", a photograph published as a stereocard between 1869 and 1870, shows a small group of Chinese workers setting two rails in Utah--they are the ubiquitously missing elements in historical images of transcontinental railroad construction. There were many thousands of these workers who were set to notoriously difficult tasks in bad situations and under time constraints with little liberty or pay (and not well-afforded much protection under the law), and in the history of documenting the expansion of the railroad across the West these workers are very seldom seen.
They are set incongruously in front of a photography car that so often saw through or around them. The car was labeled "U.P.R.R. Photograph J.B. Silvis Stereoscopic & Landscape Views of Notable Points on line of Pacific R.R. Always on Hand", and I found it tempting to try to see in the photograph that it was made solely for the photographer's advertisement, but the central placement of the workers makes a good argument against this. On the other hand, when you look at some of the other work of Silvis documenting his railway car (see here), there are a number of group images where he gathers cowboys or Indians or makes a photo with his car in an unusual place, he is definitely using those people and locales to establish the idea of remoteness and wildness of the places in which he was working. It seems to me that in the end, he was using the Chinese laborers as a piece of his advertising ensemble more than documenting them. Again, this is very speculative.
It is a very unusual image which I think is knee-deep in irony.
I should also like to point out that most of the workers have taken care to sew large leather patches on their breeches--that to help their thighs when pulling that heavy metal lever across their bodies while setting and moving track.
"Walker Evans climbed to the roof of the Fisk Building on Central Park South to photograph the web of steel struts and electric signs that were rapidly filling the skies over Manhattan. The electric signs in this photograph alternately flashed the company's name and the names of its two principal products. As there were approximately a hundred million wheels rolling over America's roads in 1928, the sale of tires quickly overtook that of rubber galoshes. The image expresses Evans' conviction that modern art could be timeless yet topical when perfectly wrought of vernacular materials."--Metropolitan Museum of Art
This is one in a series of posts made on found geometries--here are a few others:
'There is seldom in shadow a mystery less hidden"--Ombra Nichts Schatten, The Non-Mystery of the Shadow, London, 1842
Shadows have long played havoc in the imagination, for good and for evil, for elucidation and of mystery--they have hidden nothing and everything, and displayed as little as possible and as much as can be imagined. A simple shadow in a hole had proved the circumference of the Earth twenty centuries ago, and before that the Earth's shadow on the face of the Moon showed us to be a sphere; the shadow allowed us to measure the heights of mountains on the Moon before we could do so (accurately) on Earth; we measure shadows in X-rays, and follow the trails of subatomic particles, and on and on. Shadows are particularly interesting in story telling, whether they be suggested aurally or in text, or of course in illustration:
A superior example of shadow-art is seen in Indonesian shadow puppet theatre, "Wayang Kulit", where the shadows of Javanese-Indonesian characters are projected onto a cloth screen by a strong light from behind.
Audiences were bathed in direct and brilliant light while being swamped in shadow in the early 19th century as part of an early form of non-cinema cinema, as we see here in the frontispiece from Robertson’s Mémoires récréatifs, which depicts a phantasmagoria of lantern projections:
And more forthright illusions as seen in this engraving showing the spectre “Dr. Pepper’s Ghost,” from Theodor Eckardt, Die Physik in Bildern Eßlingen, 1881:
The shadow may have been invented in cinema by the German Expressionists, with Friedrich Wilhelm Murnau's Nosferatu (1919) as a shining example:
And of course the shadow is used with great effect in the very black-and-white and no-gray-tones Film Noir world, particularly in the hands of a master like Mr. Welles in films like The Third Man:
And in Fritz Lang's diabolically-bad M, earlier, in 1931 (featuring an impossible shadow in the movie still below):
Shadow has been used to given questionable dimensionality in addition to giving perspective to dimensions that we are familiar with:
And the artificial shadow made for the geographical clock dial to tell the story of passing time: