1. Maths With Pictures John D Barrow

2. 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

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

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

5. A 10 th 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…

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

10. Johann Lambert, 1779

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

12. William Playfair 1786

13. William Playfair (1821)

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

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

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

17. The Earth At Night

18. A Map of the Information Highway Network

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

20. The 1908 London Underground Map

21. 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’

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

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

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

25. Karl Menger’s Sponge (original 1926)

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

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

29. Cosmic Imagery John D Barrow

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

32. Oscar Reutersvärd, 1934 ImpossibleFigures

33. Maurits Escher, Waterfall

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

35. August Möbius, notebook 1858 Möbius and His Bands

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

37. The Möbius Universal Recycling Symbol Gary Anderson, Student at USC, design competition winner, 1970 Not a trademark!

38. The Mushroom Cloud

39. Energy of bomb  air density × (radius) 5  (time) 2 G.I. Taylor (radius) 5  Energy × (time) 2  air density 94 m increase in 0.09 sec Air density = 1.2Kg/m 3  E = 25 kilotons of TNT Life Magazine pictures of 1945 Trinity Test still Top Secret in 1950

41. Simulated Higgs boson decay after two protons Simulated Higgs boson decay after two protons collide