Sunday, 22 July 2018

Remembering Numbers

What is the best way to remember large numbers? Let's take the following as an example:
638916023694046824309751694343971283440110362656090831218332331634512

FIGURE 1
The Mnemonic Major System (FIGURE 1) is commonly used and the number broken up usually into pairs of digits with an image being associated with each digit pair.

For example, the first pair 63 could be envisaged as chum.

FIGURE 2: chum = 63
Similarly, the second pair of digits 89 could be envisaged as vape.

FIGURE 3: vape = 89
In this way a series of images is built up that can be added to a path in a so-called memory palace. As one traverses this path, the objects appear sequentially and each object can be converted into its equivalent number. This approach of course completely ignores any pattern in the numbers themselves and so it is inherently unappealing to a mathematician. However, is there a better way? There are 69 digits so there are (69+1)/2 = 35 images that need to be created (a leading digit is added to the number to bring the digit count to an even number). Thus we have:

0638916023694046824309751694343971283440110362656090831218332331634512

The first pair of digits is now 06 which converts (say) to sage:


FIGURE 4: sage = 06
The second pair of digits is 38 corresponding to (say) movie. Let's itemise each pair:
  1. 06 --> sage
  2. 38 --> movie
  3. 91 --> abbott
  4. 60 --> shoes
  5. 23 --> gnome
  6. 69 --> chip
  7. 40 --> rose
  8. 46 --> rash
  9. 82 --> fan
  10. 43 --> room
  11. 09 --> soap
  12. 75 --> gull
  13. 16 --> dish
  14. 94 --> bear
  15. 34 --> mary
  16. 39 --> map
  17. 71 --> cat
  18. 28 --> navy
  19. 34 --> emir
  20. 40 --> rice
  21. 11 --> toyota
  22. 03 --> sumo
  23. 62 --> chin
  24. 65 --> chill
  25. 60 --> cheese
  26. 90 --> base
  27. 83 --> foam
  28. 12 --> tiny
  29. 18 --> dove
  30. 33 --> mum
  31. 23 --> annum
  32. 31 --> mat
  33. 63 --> chum
  34. 45 --> really
  35. 12 --> done
It doesn't matter how bizarre the images are, in fact the more bizarre they are the easier it is to remember them. I've practised creating a consecutive sequence of images from the above and I'm now able to recall the 70 digits with a 100% success rate. Next I'll try my hand at recalling 100 digits and beyond.

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