Opening Elijah Witt's Puzzle Box

First, write down the number of days in each of our calendar months, and keep a running total. You don't have to go past August, because the Mayan calendar only had 260 days (20 x 13) as you found by examining the calendar book:

Month Days Total
Jan 31 31
Feb 28 59
Mar 31 90
Apr 30 120
May 31 151
Jun 30 181
Jul 31 212
Aug 31 243
Sep    

Examination of the plaque, combined with your newly found knowledge of the Mayan number system, tells you that the symbols on Witt's puzzle box are:

AHAU CHUEN MULUC MEN
4 10 3 11
8 Sep 20 May 17 Apr 12 Jul

The equivalents in our calendar (shown in the above table underneath the Mayan dates) are calculated as follows, using the AHAU 4 to 8 Sep conversion as an example:

  1. Multiply the Mayan month number (minus 1) by the number of days in a Mayan month (13). AHAU is month number 20 - 1 = 19 x 13 = 247.
  2. Add the number of Mayan days: 247 + 4 = 251.
  3. Subtract the closest running total: 251 - 243 = 8.
  4. 8 days past the end of Aug = 8 Sep.

Now all you have to do is click on the dials until each pairing is produced, and then click on SET DIALS. You'll see the red light under the symbol change to green if you did this correctly, and the red light advances to the next symbol. The puzzle completes when you match 12 July to 11 MEN.