Additional Math Pages & Resources

Friday, May 6, 2011

Grand Complication Math, Part V

This is the final installment of my Grand Complication Math series, where we have been looking at complicated problems that are solved by creatively applying elementary math in a variety of ways. This is not Rocket Science.

Each day I have given you a photo of a Grand Complication watch - a mechanical device with many features all fitted into one case. Today I am offering a Patek Philippe watch said to be the most complex in the world:


FEATURES
A unique double-dialed, astronomical and astrological gold pocket watch, with the ability to indicate:
  • sidereal time
  • second time zone
  • time of sunrise and sunset in Geneva
  • equation of time
  • perpetual calendar
  • century leap year correction
  • century, decade and year indication
  • four-year leap year indication
  • season, equinox, solstice and Zodiac indication
  • star chart
  • phases and age of the moon
  • date of Easter indication
  • split-seconds chronograph with hour and minute indicators
  • Westminster chime on four gongs
  • “Grande and Petite Sonnerie” chimes
  • alarm
  • winding indicators for the time-keeping and striking mainsprings
  • three-way setting indicator
  • winding crown position indicator
  • thermometer with scale in ℃
  • tourbillon regulator
Now let's use some of our math abilities to describe this Caliber 89 Patek watch [click on the images to enlarge them]:

DIMENSIONS
  • Total weight 1100 g (2.42 lbs)
  • Case weight 500 g (1.1 lbs) of 18k gold
  • Movement weight 600 g (1.32 lbs) of nickel silver
  • Movement diameter 71 mm
  • Movement thickness 28 mm
  • Case diameter 88 mm 
  • Case thickness 36.5 mm without crystals
  • Case thickness 41 mm with crystals
 COMPONENTS
  • Complications 33
  • Jeweled bearings 126  
  • Screws 332
  • Gear wheels 184
  • Springs 68
  • External knobs, slides and levers 12
  • Domed sapphire crystals 2
DIALS
  • Dials of silver-plated gold 2
  • Indicating gold hands 7
  • indicating blued steel hands 16
  • Indicating windows 6
  • Applied gold numerals 11
  • Colors of ink on dial 4
 EXTERNAL DETAILS
  • Time to design and construct  - 9 years
  • Production run - this is #1 of 4
  • Ownership - the watch is in the hands of its 3rd owner since 1989
  • Auction sale price in Nov 2009 - 5,120,000 Swiss franc