The only reason I knew anything about Mayan mathematics was that I was getting exhausted on my honeymoon in Mexico with my second wife, Mary Lou. She was greatly interested in •art history, particularly that of Mexico. So we went to Mexico for our honeymoon and we climbed up pyramids and down pyramids; she had me following her all over the place. She showed me many interesting things, such as certain relationships in the designs of various figures, but after a few days (and nights) of going up and down in hot and steamy jungles, I was exhausted.
In some little Guatemalan town in the middle of nowhere we went into a museum that had a case displaying a manuscript full of strange symbols, pictures, and bars and dots. It was a copy (made by a man named Villacorta) of the Dresden Codex, an original book made by the Mayans found in a museum in Dresden. I knew the bars and dots were numbers. My father had taken me to the New York World’s Fair when I was a little kid, and there they had reconstructed a Mayan temple. I remembered him telling me how the Mayans had invented the zero and had done many interesting things.
The museum had copies of the codex for sale, so I bought one. On each page at the left was the codex copy, and on the right a description and partial translation in Spanish.
I love puzzles and codes, so when I saw the bars and dots, I thought, “I’m gonna have some fun!” I covered up the Spanish with a piece of yellow paper and began playing this game of deciphering the Mayan bars and dots, sitting in the hotel room, while my wife climbed up and down the pyramids all day.
I quickly figured out that a bar was equal to five dots, what the symbol for zero was, and so on. It took me a little longer to figure out that the bars and dots always carried at twenty the first time, but they carried at eighteen the second time (making cycles of 360). I also worked out all kinds of things about various faces: they had surely meant certain days and weeks.
After we got back home I continued to work on it. Altogether, it’s a lot of fun to try to decipher something like that, because when you start out you don’t know anything—you have no clue to go by. But then you notice certain numbers that appear often, and add up to other numbers, and so on.
There was one place in the codex where the number 584 was very prominent. This 584 was divided into periods of 236, 90, 250, and 8. Another prominent number was 2920, or 584 x 5 (also 365 x 8). There was a table of multiples of 2920 up to 13 x 2920, then there were multiples of 13 x 2920 for a while, and then—
Because figures denoting days were associated with this 584 which was divided up so peculiarly, I figured if it wasn’t some mythical period of some sort, it might be something astronomical, Finally I went down to the astronomy library and looked it up, and found that 583.92 days is the period of Venus as it appears from the earth. Then the 236, 90, 250, 8 became apparent: it must be the phases that Venus goes through. It’s a morning star, then it can’t be seen (it’s on the far side of the sun); then it’s an evening star, and finally it disappears again (it’s between the earth and the sun). The 90 and the 8 are different because Venus moves more slowly through the sky when it is on the far side of the sun compared to when it passes between the earth and the sun. The difference between the 236 and the 250 might indicate a difference between the eastern and western horizons in Maya land.
I discovered another table nearby that had periods of 11,959 days. This turned out to be a table for predicting lunar eclipses. Still another table had multiples of 91 in descending order. I never did figure that one out (nor has anyone else).
When I had worked out as much as I could, I finally decided to look at the Spanish commentary to see how much I was able to figure out. It was complete nonsense. This symbol was Saturn, this symbol was a god—it didn’t make the slightest bit of sense. So I didn’t have to have covered the commentary; I wouldn’t have learned anything from it anyway.
After that I began to read a lot about the Mayans, and found that the great man in this business was Eric Thompson, some of whose books I now have.