Tuesday, July 8, 2014

2112 in Mayan

The other day I was browsing a book on Mayan Civilization and Archeology and was reading about their base-20 number system and how it was juxtaposed to their calendar system in terms of complexity. I started to play a bit with the number system (I love messing about mathematically in different bases — place-value systems are so brilliant!). Thinking of the prog-rock band Rush’s palindromic album title, 2112, I quickly converted in my head and came to a surprising conclusion:
The number twenty-one twelve is a palindrome in both Hindu-Arabic base-ten numerals:
2112 Opusand in Mayan base-twenty numerals:
Mayan 2112 ||:||However, Mayan is normally written along the vertical axis rather than the horizontal:
Mayan 2112 VerticalGranted, it is a palindrome only graphically, as transliterating to Hindu-Arabic numerals would give us 5.5.12 (base 20, using decimals as place separators), not exactly palindromic. Even so, I thought this was a neat observation.