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The Mayan number system

 
 
Reply Tue 23 Mar, 2004 08:07 pm
I think this is the right place to post a topic for the Mayan number system. The mayans were an ancient civilization who I think adapted the Aztec calendar for their own use. They also were one of the few first societies that understood the concept of zero. This is all I can find! Does anyone have any info?
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Type: Discussion • Score: 1 • Views: 3,191 • Replies: 3
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BradMorgan
 
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Reply Wed 24 Mar, 2004 12:12 pm
First of all the Mayan number system is based a 20 system ( We use a base 10 system, computers use a base 2 (1 and 0) system. It uses 2 differnt icons to count a stick that equals 1 and a circle that equals 5. so:

|||| = 4
|||O = 8

Also the Aztecs came way after the mayans so you have that backwards. FYI the mayans are known as great thinkers while the Aztecs were pretty backwards.
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fbaezer
 
  1  
Reply Wed 24 Mar, 2004 01:01 pm
Hi BradMorgan, welcome to A2k.

Yes, Mayan number system is vigesimal.
But you've got your dots and sticks wrong, I'm afraid.

Mayans worked with the zero. The only ancient people -to my knowledge- to do it.

The zero was a shell.
The one (hun'pel)was a dot.
The five (ho'pel) was a horizontal bar.

Dots were placed on top of bars.
4 dots over 2 horizontal bars: 14.

They had two calendars. One was 260 days (good for agriculture, ceremonies and fortune telling); the other was 365 days, divided in 18 months of 20 days plus 5 "lost" days.

The combination of both calendars was called the calendaric wheel. A day repeats itself after 18,890 days.

Day one of the calendaric wheel was, in terms of the Gregorian calendar, August 13, 3144 B.C.
---

The Aztecs, of course, came much later.
"Pretty backwards" seems a harsh phrase to me, but compared to the Mayans in their splendor, it may be correct.
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raprap
 
  1  
Reply Tue 30 Mar, 2004 07:53 am
The Mayan system was a semi-vegesimal, the first group was 20, but the second was based on the produce of 18 and 20 (20*18). Following groups were based upon this 18 factor and powers of 20.

The 18 seems to have come from the calendar of 360 days (e,g, 360=18*20).

As previously indicated the Mayan used dots and dashes to express numbers from 1 to 19, such that

• represented units (believed to be fingers)
bars under the dots represented fives (believed to be hands)

• = 1
••• =3
••• = 8
••• = 13
----

A third bar under the dots was 15+3=18

A place holder (0) was also included and looked something like ())---only horizontal

The number expressions tended to be vertical

So the Mayan number

•••
•••
())
•••
----

would be

8(18*202)+3(18*20)+0*20+13 =
8(7200)+3(360)+0(20+13 =
57600+1080+0+13=
58693

Rap c∫Confused/
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