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i think we should introduce a new system where we count to 8 not 10
1,2,3,4,5,6,7,10
11,12,13,14,15,16,17,20
21,22,23,24,25,26,27,30
.....etc
that way you will hit round numbers at the right points.
currently if you double one and double it again and again you dont hit 10
or even 100
but this way numbers that we are using now like 12,64,128 etc would become round numbers what we now count as 8units you be 10, 64 units would be 100 etc
i know it would NEVER happen due to the ecconomics of changing but i would like to know if there is a logical / mathmatical reason why it is not better
New Math
http://www.sing365....1BE48256A7D002575E1
It's so simple / So very simple / that only a child can do it [friendlyfire, Oct 04 2004, last modified Oct 21 2004]
Use base 26
http://www.halfbake...dea/Alphabet_20base
[Monkfish, Oct 04 2004]
Use base 60
http://www.halfbake...-60_20Alphanumerics
There was a 'use base 12' idea around once, too, but it seems to be gone. [Monkfish, Oct 04 2004]
Some more base 60
http://www.rocknrol...k/science/roma.html
Fully baked by the Sumerians [suctionpad, Oct 04 2004, last modified Oct 21 2004]
[link]
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Base 12 is obviously the way to go. 2,3,4 and 6 as divisors. so nice. |
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Fully baked as octal. It's not so hard, once you get used to it. Just try counting in hex: |
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0 1 2 3 4 5 6 7 8 9 A B C D E F 10 |
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There is actually a very good reason to prefer a base with a lot of divisors over others. math involving multiples of divisors is easy. |
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so in base 10, math involving multiples of 5 or 10 (or fifths or tenths) is easy. |
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with base 12, math involving multiples of 2,3,4,6, and 12 or halves, thirds, fourths... (and so forth) becomes easy to do. |
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I think we should switch to oa base pi system, just for
something to do. |
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The Ancient Sumerians (ca. 3000bc) had this all worked out [link]. |
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I was using a base derived from quaternions for a while. I even managed to count it on my fingers. Then they let me out of the sanitarium. |
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Anyway, Octal is baked, personally I think that base 24... or even better, a base equal to a whole factorial would solve many problems with recurrence and the like... |
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This idea is almost a consumer advice idea by the way? |
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We should adopt base 33, using the numbers and western alphabet (without the letters 0 and L and I to avoid confusion with zero and one) as the digits. Just think: hordes of schoolchildren can spell out taboo words while doing their math homework.
If base 33 is too difficult, we could try base 1. It would be about as useful as a map that is "actual size," scale 1 cm=1 cm.
Just 2 (or 00) ideas to consider. |
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