A 9's Fan's Clock

I do not claim a copyright on the picture below. One day it arrived unsolicited in my email inbox and stayed there for a long while until rediscovered on the occasion of my being overwhelmed with an email clearing zeal. The idea is not mine, by any means - of which I am envious. On the other hand, I thought it would be unfortunate, for a chef d'oeuvre like that to end up in a trash can of my computer. Hence, the picture:

  a clock with digits expressed with three 9s

The 1 - 12 are calculated each with three 9s (in a not unique way) as

  1. (9/9)9
  2. (9 + 9) / 9
  3. √9 + 9 - 9
  4. √9 + 9 / 9
  5. √9! - 9 / 9
  6. 9 - 9 / √9
  7. 9 - √9 + .9
  8. 9 - 9 / 9
  9. 9√(99)
  10. 9 + 9 / 9
  11. 99 / 9
  12. 9 + 9 / √9

Related material
Read more...

  • Funny Arithmetic
  • A single formula to express all numbers
  • Any Integer with Three 2s
  • Representation of numbers with a single 4. The rules and the possibilities
  • One 4, a story
  • Three 3's
  • Representation of numbers with three 4's
  • Representation of numbers with three 5's
  • Representation of numbers with four 3's
  • Representation of numbers with four 4's
  • Representation of numbers with four 5's
  • A problem of representing 4 by four identical digits
  • A problem of representing 6 by three identical digits
  • Make an Identity
  • Fun with numbers: place plus/minus signs between the digits
  • 24 with One Digit
  • Representation of 3 with Three Equal Digits

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