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Maths With Pictures

Maths With Pictures. John D Barrow. 12 th Century Latin copy of Euclid Book IV gives Theorems without proofs and provides incomplete diagrams Copied from Adelard’s (complete) original, Adelard of Bath (1082-1152). Checkmarks link pictures to theorems. Manuscript of Euclid’s Elements

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Maths With Pictures

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  1. Maths With Pictures John D Barrow

  2. 12th Century Latin copy of Euclid Book IV gives Theorems without proofs and provides incomplete diagrams Copied from Adelard’s (complete) original, Adelard of Bath (1082-1152). Checkmarks link pictures to theorems

  3. Manuscript of Euclid’s Elements Adelard of Bath, 4th Dec 1480

  4. The First ‘Pop-up’ Book, Euclid’s The Elements of Geometrie, (1570)

  5. A 10th century graph illustrating planetary and solar positions versus time

  6. Nicole Oresme, The Latitude of Forms and Treatise on the Configurations of Qualities and Motions’ ‘Latitude’ = speed is vertical and ‘Longitude’ = time is horizontal

  7. Oresme’s Latitudes Sicut hic…

  8. Christiaan Huygens, First graph of a continuous function Median life remaining for a person of given age, 1669

  9. Johann Lambert, 1779

  10. James Watt’s Indicator of steam engine pressure vs. volume, 1796 (he kept it secret until 1822)

  11. William Playfair 1786

  12. William Playfair (1821)

  13. Adolph Quetelet, ‘la loi de possibilité (1846) The social physics of the ‘average man’. The ‘bell -shaped curve’ Espirit Jouffret, 1872

  14. Augustus de Morgan An Essay on Probabilities and on their Application to Life Contingencies (1838) Charles Dickens, Hard Times, illustrations by Harry French (1875)

  15. The Cover of Gerardus Mercator’s Atlas, or Cosmographical Meditations upon the Creation of the Universe (1585)

  16. The Earth At Night

  17. A Map of the Information Highway Network

  18. Francis Galton The First Weather Chart April 1st 1875, in The Times

  19. The 1908 London Underground Map

  20. Harry Beck’s first exercise book sketch of his Underground Diagram ‘I tried to imagine I was using a convex lens or mirror to present the central area on a larger scale’

  21. Harry Beck, The London Underground ‘Diagram’, August 1933

  22. Do Four Colours Suffice? (Francis Guthrie 1850s) The Four-Colour Conjecture Named The Geographical Problem By Arthur Kempe (1878) Yes! (Appel and Haken 1976)

  23. Helge von Koch’s ‘Snowflake’, 1904

  24. Karl Menger’s Sponge (original 1926)

  25. Mandelbrot’s set: the set of points that stay at finite distances form the black region with its infinitely intricate boundary

  26. Any part of the boundary contains copies of the whole set

  27. Cosmic Imagery John D Barrow

  28. Charles Hinton The Fourth Dimension, (1904) Salvador Dali, Corpus Hypercubus, (1954)

  29. Impossible Figures Oscar Reutersvärd , 1934

  30. Maurits Escher, Waterfall

  31. Maurits Escher, woodcut Moebius Strip II (Red Ants), 1963

  32. Möbius and His Bands August Möbius, notebook 1858

  33. Möbius Belts, Tape-drives and Conveyor belts US Patent 3991631

  34. The MöbiusUniversalRecycling Symbol Not a trademark! Gary Anderson, Student at USC, design competition winner, 1970

  35. The Mushroom Cloud

  36. Energy of bomb  air density × (radius)5(time)2 (radius)5  Energy× (time)2 air density 94 m increase in 0.09 sec Air density = 1.2Kg/m3  E = 25 kilotons of TNT G.I. Taylor Life Magazine pictures of 1945 Trinity Test still Top Secret in 1950

  37. Simulated Higgs boson decay after two protons collide

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