A Daily History of Holes, Dots, Lines, Science, History, Math, Physics, Art, the Unintentional Absurd, Architecture, Maps, Data Visualization, Blank and Missing Things, and so on. |1.6 million words, 7500 images, 4.9 million hits| Press & appearances in The Times, Le Figaro, Mensa, The Economist, The Guardian, Discovery News, Slate, Le Monde, Sci American Blogs, Le Pont, and many other places… 5000+ total posts since 2008.

Category: Information, Quantitative Display of

  • Unusual WWII Maps by a Significant Soviet Intelligence Agent

    JF Ptak Science Books   Post 2517

    I’ve found a number of interesting maps in the pamphlet collection here–these are highly unusual to my experience in that they were the work of a firm called “Geopress”, which was an active business and cover for a significant intelligence agent for the Soviet Union, operating in Switzerland, collecting data relating to German activities during WWII. There’s nothing I can add beyond the information that I quote extensively below from the CIA website on Rado–except that I cannot find images/examples of his Geopress work. So it seems the most efficient thing to do here is to simply quote the known sources and reproduce the images of the 18 maps and their accompanying texts.  

    Geopress _4_080

    As I said Rado operated Geopress as a news/cartographic service, and Rado was an accomplished cartographer, so the mans in and off themselves as maps are perhaps not a singular issue.  Their evident scarcity, however, does seem to be an issue. Also I do not understand why these maps are so small, some of which are just 1″x 3″; also the uneven;y cut/torn text sheets that are made to accompany the maps are also puzzling in their own way.  I do not understand the format–someone out there in Weblandia no doubt will.  

    All of the maps shown below are from 1942. They were received by the Library of Congress in June 1943 and stamped so on the backs of the maps.  (They lived for some time in the “Pamphlet Collection” at the LC before being purchased by me in 1998.)  

    The following quotes come from the CIA website, the Center for the Study of Intelligence, here:  https://www.cia.gov/library/center-for-the-study-of-intelligence/kent-csi/vol12i3/html/v12i3a05p_0001.htm]

     “Alexander (Sandor) Rado, Alexander Foote’s chief in the Swiss-based “Rote Drei” net that in 1941-43 supplied Moscow with detailed information on German order of battle… His activity in intelligence, mapping, and related fields has lasted nearly 50 years and may earn him a place in the pantheon of major intelligence figures of the times.”

    And this:

    “In 1936 or 1937, with Soviet funds and having a Swiss citizen as silent partner, Rado organized Geopress, a news agency specializing as Inpress had in maps and geographic background data. Geopress was more successful than Inpress because of better organization and the increased demand for news maps in the advancing shadows of World War II. As cover for an intelligence operation it proved ideal. Its normal activity—news collection and dissemination—provided justification for contacts with businessmen, officials, diplomats, journalists, and military leaders, some of whom became intelligence sources. It also justified a large volume of telephone and telegraph traffic, extensive postal business, and the maintenance of a courier system.”

    And so:

    “While building up his Geopress cover Rado also developed his sources, organized communications, and summarized for transmission the reports collected by his growing network. And he even found time to maintain through publications his image as an internationally known geographer.”

    And:

    “24 Feb. 1945.  During the German occupation of Hungary, (Rado) lived in Geneva where (he) published geographical maps for the Allied Governments until 1943; discovered by the GESTAPO and consequently his relatives in Hungary were murdered/ went with family to Paris in September 1944 and continued his work/summoned to Russia to report on his activities with the Free French Organization and left on 8 Jan. 1945 by special plane for Moscow/suspecting a trap, he got off the plane in Cairo where he remained/received no news from his wife in Paris and suspects that she might have been deported/he was formerly a Fellow of the Geographical Society in London, New York, Paris, Geneva, Rome and Washington, D.C.  OFFICE OF CENSORSHIP, Egypt, 11 April 1945.”

    [Again, the source for this and the above quotes:  https://www.cia.gov/library/center-for-the-study-of-intelligence/kent-csi/vol12i3/html/v12i3a05p_0001.htm]

    The maps:

    Geopress _3_079

    Geopress _6_082

    Geopress _7_083

    Geopress _8_084

    Geopress _10_086

    Geopress _11_087

     

    Geopress _12_088

    Geopress _13_089

     

    Geopress _14_090

    Geopress _15_091

    Geopress _16_092

    Geopress _17_093


  • DIY: 2-D Paper Math Models into 3-D Forms

    JF Ptak Science Books   Post 2516

    I’ve missed this pamphlet for years–tall, slender, no spine title–until this morning, when it came to life.  It is the work of Miles C. Hartley, who deconstructed polyhedron for the purpose of reconstructing them in a classroom as “sensory experiments”. This was his method of keeping students interested in math, or at least keeping students interested in something that hopefully led to an interest in math. Hartley recognizes that many textbooks will include models for the five regular polyhedron, and stop there, the students “stalemated”. Hartley goes on to include 69 models, many of them fairly complicated, in the hope of creating a deeper interest in solid geometry and symmetry.  

    For example, this is a great rhombicuboctahedron, scooped out of the fourth image below, and which nicely fills a larger sheet of paper for cut-fold-paste:

    Polyhedron074

    If I could determine that the book was out of copyright and not just out of print I would just reprint the thing right here–but for now I’ve included the first 22 diagrams with scans tight enough to allow them to be printed, cropped, enlarged, and printed out again with each design on a 11×8 sheet of paper.  Enjoy!

    [Source: Hartley, Miles C., Patterns of Polyhedrons. This copy is the first edition of 1941, printed by Edwards Brothers lithography, 27x22cm, 29pp, and which seems to be fairly scarce. The reprints that are available in one form or another seem to all come from the “revised edition” of 1948 and 1951, which is the same size but with 48pp. I’ve not seen one of these and don’t know if the diagrams are just spaced differently or if there are more.]  

    Polyhedron069

    Polyhedron070

    Polyhedron071

    Polyhedron072

    Polyhedron073

     


  • When a Six-Cent Tax Was a Nickel Too Much (1938)

    JF Ptak Science Books    Post 2514

    Gas Tax062Although the artist/author created some great and 30’s-bubbly cartoons, I’m not sure about what he was so grouchy about–plus I don’t know about his number sources, either. The main graphic that gets to his point shows that in 1920 $1 bought 3.5 gallons of gas and paid  6 cents in taxes; in 1938 that dollar bought 6 gallons but the taxes were 36 cents.  So the screed was about getting even more gasoline for the buck even though it was buying nearly twice as much anyway.  Since the federal excise tax in gasoline actually went down from 1.5 cents to 1 cent a gallon at this time, the additional taxes would have come from the states, which I guess were not part of the equation in 1920. But the extra nickel or so per gallon looks to be about average for state taxes on gas in 1938 (as we see in Notes #1 below).

    [The image at left is the rear cover of the pamphlet under discussion–it really doesn’t have a title, just a series of statements.]


    This was sort of a long way to go in looking at a cartoon-illustrated sweaty tax screed from 1938, but as it turns out  there was a little surprise in the results.  The author/artist is uncredited but the pamphlet was produced and published by the American Petroleum Industries Committee, which no doubt was lobby for a decrease in state (and federal?) taxes to lower the price of gasoline and perhaps to increase consumption.  They made it abundantly clear that they did not like taxes.  And as it turns out they really don’t identify the source of the taxes, just gas taxes in general, though they made it seem as though it was a unified approach to lowering federal and state taxes together as a unit, and not as 48 individual governing bodies for state taxes. On the one hand the penny tax wasn’t really so bad; ont he other the state taxes could be 4-5-6 cents, which turns out to be a lot more than states charge today (CPI adjusted). 

    Gas Tax063So, given for example 5,000 miles/year at 15mpg1 average for 1938 is 333 gallons at 10 cents gallon making $33.33/year in gas expenses or 1.9% of a yearly average salary of $1,731. 

    In 2015, 5,000 miles/year at 20mpg=250 gals x $3.20 = $800/year in gas, and with the average salary (according to the Bureau of Labor Statistics) of $850/week or $43,700/year, the gas expense would be 1.8%  of the yearly income. I have seen other figures stating the individual average salary to be about $30,000–the discrepancy is considerable and I’m not sure of the origin. Using the lower figure the gas expenses jump to about 2.6%.  

    In any event I found it odd that working with a few found and not-quite arbitrary stats that the average percentage of the cost of gasoline via yearly salary would be so very similar.  Of course the cars have gotten much more expensive and also far more powerful and safer to operate, and car insurance has no doubt increased, as has maintenance, so the overall cost of keeping and using a car is quite a lot more today than in 1938–still the similarity of gas/yearly income was pretty cool to see.  

    Now the taxes that these guys were complaining about: that 1 cent in 1938 (according to the BLS inflation calculator) is equal to about 17 cents in 2015 dollars, which is just about what the federal excise tax is today in 2015. The 5 cent state tax in 1938 winds up being quite a bit more than state taxes today–for example North Carolina was charging 6 cents ($1.01) in 1938 compared to its 38 cents today.  

    And so where does this leave us? I really don’t know, except that when there are general complaints about things costing too much it is interesting to see how expensive things really are in a longitudinal perspective.  That, and always consider the source.  

      Gas Tax064

    Notes: 

    1.   First of all the 5k/yr average driving is arbitrary. Secondly I’ve found the stat several times now in quick searches that Ford Model A cars got about 20mpg in 1928.  Cars got heavier/more powerful by 1938 and for the sake of this exercise assume that the average mileage decreased with the increase in power and weight.  It is a little bit of a long shot but probably not to far from the mark. 

     

    IRS stats for federal excise taxes on gasoline, http://www.irs.gov/pub/irs-soi/00gastax.pdf


  • When Buckets were Buckets and Picks were (really) Picks

    JF Ptak Science Books   Quick Post

    Rose is a rose is a rose is a rose as Ms. Stein has said, though that doesn’t necessarily apply to buckets and picks.  Once upon a time there was a solid and universal need for many varieties of each one of these (exclusive of the not-elusive Ms. Hyacinth Bucket-pronounced-bouquet as the Major would say),and we get a taste for them in these pages of advertisements.  

    The first is for Hudson’s hardware (“steel trucks, points, crossings, portable railway, steel buckets”) and so on, presumably mostly for mining, and it appeared in The Engineer for July 4, 1884:

    Mining buckets

    The ad has a superb aroma of engineering heavy finery.  

    The second is from the Engineering and Mining Journal, July 8, 1876, and the ad trumpets a “perfect, solid cast metal pick” for all sorts of segmented work.  Different jobs, different surfaces, different environments, different people–different picks for the job.  

    Mining picks


  • “Types of German Raider We Must be Prepared to Recognize”: the Battle of Britain, 1940

    JF Ptak Science Books   Quick Post

     This two-page spread in the Illustrated London News appeared at the end of June, 1940, nine months into WWII, just two weeks or so before the beginning of the Battle of Britain.  This was an extended battle lasting until September 1941 in which there were hundreds of German bombing raids flown over the U.K., with most of the damage and civilian deaths centered in London. In all some 40,000 civilians were killed in the raids, about half of them in London. Belfast, Birmingham, Bristol, Cardiff, Coventry, Glasgow, Hull, Manchester, Portsmouth, Plymouth, Sheffield, Southampton, Swansea, and other cities were also bombed, some of them pulverized–for example, Hull received an enormous amount of attention for being a port city and easily identifiable by air, and was attacked more than 80 times, and Coventry’s central city was decimated.  (Enter “Battle of Britain” or “Blitz” in the Google search box for the other posts on this blog on this subject.)

    But right at the beginning of this period the popular weekly published this listing of enemy planes–it was a smart thing to do, because it made millions of people into observers and data gatherers.  

    The artist of this work was the very very busy and talented G.H. Davis, who I have written about numerous times on this blog (just enter his name in the Google search box and you find a number of interesting tech drawings that he completed for the ILN). 

     

    Graphic Display ID German Fighters

     


  • Table of the Compass of Voices and Instruments (1814)

    JF Ptak Science Books   Quick Post 

    This engraved plate from Abraham Rees’  Cyclopedia… is the wonderful invention of Alexandre Choron (1771-1834), and appeared (perhaps for the first time in an English press) in London in 1814.  It is a concise and interesting display of the comparisons of the reach of instruments along the eight octaves, and is a very strong example of clear and useful graphical display of quantitative data.  Choron graph056

     Here’s another version of the chart, expanded somewhat, and published using the bones of this earlier work, in the eighth edition (1858) of the  Encyclopedia Britannica:

    [Sopurce: the article on “Music”, Encyclopedia Britannica, via Google Books]

    The full subtitle:  “Table of the Compass of Voices and Instruments, Shewing the Place Each Occupies in the Scale”.  (The original print is also available for purchase through our blog bookstore.)

    From Grove Music Online:

    Choron, Alexandre(-Etienne)

    (b Caen, 21 Oct 1771: d Paris, 29 June 1834). French writer on music, instructor, publisher and composer. While still a boy, he taught himself Hebrew and German and acquired a permanent interest in scientific experiment and a fascination for music theory and the techniques of composition. Although he reached the age of 16 before taking music lessons, he had already attained elementary skill on keyboard and other instruments. He greatly valued a friendship with Grétry which began in his 20th year and which suggests that he moved to Paris after his father’s death.

    Choron’s earliest publications, the three-volume Principes d’accompagnement des écoles d’Italie (1804) and Principes de composition des écoles d’Italie (whose publication was announced for 1806 even though it did not appear until the end of 1808 or early 1809 – the preface is dated 9 December 1808), include courses in thoroughbass together with instruction in counterpoint and fugue, implemented by exercises from Sala, Martini, Marpurg and Fux. In February 1806 he undertook the editing for August Leduc of the scores of Haydn’s symphonies. He began his activities as a music publisher in partnership with Leduc in November of that year, in order to exploit a licence for lithographic printing bought from Frédéric André in 1807. His partnership with Leduc ended in late 1811. Choron published works by Josquin, Goudimel, Palestrina and Carissimi, as well as Italian and German music up to the time of Bach. In 1827 his daughter Alexandrine (d 1835) took over the running of her business, which after her marriage in 1832 to the composer and teacher Stéphano Nicou took the company name of the Société Nicou-Choron. There followed the two-volumeDictionnaire des musiciens (1810–11) in which Fayolle was his collaborator. Choron was too idealistic to be financially successful, and his attention to business was limited by his scholarly and scientific pursuits. What might have been his magnum opus, Introduction à l’étude générale et raisonnée de la musique, remained unfinished. He was forced to teach music and accept public appointments.

    In 1811 he was appointed a corresponding member of the Beaux-Arts class of the Institut de France in succession to Framery. From 1812 until Napoleon’s downfall he was Directeur de la Musique des Fêtes Publiques. His essays on plainsong and church music led to his nomination for the task of reorganizing music in French cathedrals and in the royal chapel after the restoration of the Bourbon monarchy. In January 1816 Louis XVIII made him régisseur général of the Académie Royale de Musique. According to Fétis he turned the Opéra ‘into a trial theatre’, and his dismissal after little more than a year enabled him to devote his energy to the founding of his Institution Royale de Musique Classique et Religieuse. He secured public grants for it between 1826 and the Revolution of 1830, but Charles X’s attempt to revive absolutism led the new government under Louis Philippe to discontinue expenditure associated with royal privilege.

    The reduced budget not only proved disastrous for Choron but incurred disappointment for music lovers in general, as Choron’s students associated with other schools to give choral festivals in Notre Dame, St Sulpice and provincial cathedrals. The programmes included unaccompanied works of the Renaissance, together with Baroque oratorios with orchestra and music of later periods. After years of decline his school was revived by Niedermeyer and renamed Ecole de Musique Religieuse Classique. It remains the most substantial testimony to the work of an influential idealist during a time when French musical life badly needed ideals.

    Although a few Conservatoire pupils sought Choron’s instruction, his school produced no outstanding composers until the Niedermeyer régime after 1836; yet Choron had a widespread influence on teachers, organists, choralists and those who were awakening to the importance of music history. His inexpensive editions of polyphonic and choral music were invaluable, despite the later issue of most of the works in better format by Proske and the Regensburg scholars and by English and German publishers; nor were his labours towards the revival of plainsong in vain, though the work of the Benedictine monks of Solesmes superseded them. His interest in the Baroque masters was more a revival than a novelty, and contributed indirectly to the demand for scholarly editions. The Manuel complet de musique vocale et instrumentale, published after his death by his collaborator, La Fage, was uniquely valuable in its day. In a country whose musical tradition was almost entirely unscholarly, and focussed on the capital, Choron stimulated interest that made his own publications impermanent.

    He composed chiefly sacred music, including a Messe brève, a Magnificat, a Stabat mater and numerous motets, both a cappella and with organ accompaniment. His opera, Nadir et Salyha, was produced in Kassel in 1811. He also wrote a number of songs, of which La sentinelle (1810) was popular in his lifetime.


  • Knots, Knots, and Knots (1871)

    JF Ptak Science Books  Quick Post

    “O time, thou must untangle this, not I.  It is too hard a knot for me t’untie.”–William Shakespeare, Twelfth Night

     

    Sci Am Knots and Splices

    This beautiful collection of knots and splices appeared on the front cover of Scientific American, March 18, 1871–a knot for every need.  Knots become ever more complex at about the same time in the hands of the great mathematician and teacher, P.G. Tait.  Tait was the major domo of knot classifiers so significant in the developing field of topology, and followed the work of Vandermonde, Gauss, and Kelvin.  But here, in 1871, these were just beautiful and useful knots having open ends, and not having anything to do with the Tait conjecture–that would come later.


  • When the Knife That Cuts Both Ways Cuts Only One

    JF Ptak Scienec Books    post 2511        Part of the series on the Graphic Display of Information

    Knife of protection053

    This is a good example of relatively-though-not-really graphic representations of data for popular consumption. (I have to apologize straight-away for the uneven color here–my scanner had a very tough time with the deep blue of this pamphlet…)

    The case being made here was for changing tariffs which at this time in 1884 were seen by the author as harmful to the common producer.  Here’s the cover of the pamphlet with its provocative title::

    Knife of protection051

    And the back cover, where the graphic displays live, including the unusual smei-pyramid at bottom left:

    Knife of protection052

     

    The proportion of classes of the U.S. drawn here is probably relatively correct though some of the numbers may be wrong–granted they are for the upper classes and I think even with revision doesn’t change the structure of the graphic part of the display too much at all.  Here there are listed 59 individuals in the U.S. making $1 million per year, which seems to be a little low.  I have seen a number of references that by the end of the 1890’s  there were around 4,000 people who could be called landed millionaires though so far as I have seen they all were not making $1 million per year.  I am unsure at this point–it is possible that in, say, the 3,000 millionaires in the U.S. in 1880-1884 that 1.5% of them would be making a million/year–it seems plausible that if there were 4,000 people making a million in a year that there would be another superclass of 1% making ten times that a year…so maybe that 59 number is correct, after all.  In any event, I don not think that the correct would alter the shape of the pyramid by any measurable difference.  

    The real purpose of the pamphlet seems to have been for the wealthy to pay more than the average working person. The subtitle being “Who Pays? The Tax Payer and the Tax Eater Compared. Every Farmer Should read This”, which seems to mean that the author found farmers to be paying more than their fair share–and considering that of the 50 million people living in the U.S. (1880 census figures here and following) more than 22 million lived on farms, the issue was addressed to a near-majority of U.S. citizens.  

    I haven’t read the pamphlet–I’m just passing along the data.  


  • Early Map of Elevations of Plants and Tress, 1873

    JF Ptak Science Books   Quick Post

    Maps elevation maury161

    This fine little inset appears in “Chart of Principal Vegetable Growths and Chief Staples” from Matthew Fontaine Maury’s Physical Geography, a classic work for schools, which was printed in 1873. Maury is considered to be the father of U.S. oceanography (The Physical Geography of the Sea (1855), was the groundbreaking work)  and was a real pioneer in several areas. This did not exclude his adventures on behalf of the Commonwealth of Virginia and the Confederate States of America, where he served as Chief of Sea Coast, River and Harbor Defenses, among other things. Maury had a complicated relationship with the idea of slavery, attempting to eradicate slavery (and slaves) by removing the institution and perhaps the owners and their plantations to the Amazon basin.

    This small inset (above) measures 6×2.5″ in the original on a 13×10″ map, and shows the elevations at which certain trees and plants are found. It is an ingenious display, and depicts about 60 different samples. (The print in the map is about 1mm tall, by the way.)


  • A Map of Judgment: Nuremberg, 1945/6

    JF Ptak Science Books     Post 2510

    Nuremberg049detail

     

    Nuremberg048In all of the reading that I have done about WWII, I haven’t done that much on the war crimes trials and tribunals afterwards, save for Goering, Schacht, and several of the companies/industries like I.G.Fraben–still, I think I’ve never seen a diagram of the seating arrangement at Nuremberg.  But here one is, in this small pamphlet introducing the International Military Tribunal printed by military order in 1946.  

    We have all seen images from the newsreels shown in documentaries, which seems to give the physical auditorium a rather large feel–with this diagram, and seeing how closely the accused Nazis sat next to each other, the proceedings looked as though they took place in a rather not-large space.  

     

    More to the point though is the detail which I’ve segregated above.  These are seat assignments along benches for  the Nazis being adjudicated for war crimes.  The diagrams make the seating arrangements look segmented, by they are not. (The key to the seating arrangements is reproduced below.)

    There are 21 names associated with those space, 21 of the most infamous names in the Nazi regime; 11 would receive the death penalty; 3 would receive life, 4 would receive various sentences of 10-20 years, and 3 would be found not guilty. 

    Nuremberg049

    For the record, and in order as they appear on  the list below:  Goering, death; Hess, life; Ribbentrop, death; Keitel, death; Keltenbrunner, death; Rosenberg, death; Hess, death; Frick, death; Streicher, death; Funk, life; Schacht, noty guilty; Doeniotz, 10 years; Raider, life; von Schirach, 20 years; Saukel, death; Jodl, death; von Papen, not guilty; Seyss, death; Speer, 20 years; Neurath, 15 years; Fritsche, not guilty. 

    Nuremberg050

    Here’s a photo of the seated group from above, Goering (#13) is seated at bottom left center, head in hand.  He would soon be dead by his own hand.  

    Nuremberg photo

    [Source:  https://www.jewishvirtuallibrary.org/jsource/Holocaust/nurtrialtoc.html]

    I’ve not had anything to say about the Nuremberg Trials ebcause I think that everyone coming here already knows enough about them to appreciate this “map”.