Repetitive pattern in years

December 26, 2012 16:52
Repetitive pattern in years

The year is almost at an end, and the new year is almost here but the next year is special and much different from several other years. I may not be a soothsayer but I'm mathematician enough to say that the year 2013 is different from many other drab years and extremely similar to a few others. I won't tell you how different it would be from other years (it's a secret of the trade) but I will tell you how similar it is to a few years for example 2002.

Did you know you could take out your old 2002 calendar and hang it on the wall for 2013? I'm not speaking nonsense, but its true. Your calendar dates from 2002 and 2013 would coincide perfectly. Now, now, don't take out your local traditional calendars and check out the planetary and lunar positions. I'm talking about the very simple English calendar that we follow everyday.

In fact, it is not just 2002 there are a whole bunch of diaries that you can take out from your old stash (that is if you have one) and start writing starting Jan 1, this 2013. Not that you are cash strapped or extremely miserly to do that but how good does it feel to know you can use something that you thought was a complete waste because you didn't have the habit of writing diaries regularly back then. It is a time travel of sorts, if you are as delusional as I am.  

The years 2013, 2002, 1991, 1985, 1974, 1963, 1957, 1946, 1935, 1929, 1918 and so on until you can count have the exact same days and dates in the calendar. By now you should have figured out that I found a pattern in the years. If you were smart enough you would know right away since I used 'and so on' and if you are a mathematician you would have started counting by the time I mentioned a few years.

Calander

To help you the easy way, saving you from raking up your brains, the pattern repeats every 11, 11 and 6 years. 2013-2002=11, 2002 – 1991= 11, 1991 – 1985= 6, 1985- 1974= 11 and so on. Hope you got my drift. This phenomenon is called calendar recycling.

If you think in terms of different calendars, there are only 14 different types of years. Jan 1 can be on any of the 7 days and if you include the leap years, there is one extra day which makes only 14 possible cases. (Don't ask me about the math, I only do simple ones!).

So don't throw away your old calendars. Start collecting today and you will have a all the 14 different calendars in 2039. Well, you must take into account the years that are repeating in the meanwhile shouldn't you? Happy New Year in advance folks!


(AW- Anil)

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