Home > Appreciation > Octomatics — The New New Math

Octomatics — The New New Math


It’s hard to tell how serious these people are about creating a new number system, but the effort is worthy of a little appreciation:  introducing Octomatics!

www.infoverse.org/octomatics/

Octomatics offers a new numeral systems that enjoys  a visual addition method and  a smaller  multiplication table.   They’ve also defined a new clock, a new calendar, and they’ve prototyped a new calculator!

Truth be told, I’ve always secretly desired a new clock and calendar system–one that wasn’t so archaic and contrived.  I’m not getting my hopes up, though; Octomatics looks less like a paradigm shift and more like Esperanto to me.

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www.MrHonner.com

  1. Ahmed Gouda
    October 15, 2010 at 5:59 pm

    Just had an “epiphany”. As long as you make sure to carry the excess digits (Carry the ones), you can add, subtract,divide, or multiply pretty much any base. Although that base eight system would have definitely made the binary conversion test in digital electronics way easier. Though, even if that is true I doubt it’ll be easy to explain the concept to infants as easily as a base 10 system.

  2. April 23, 2011 at 10:06 am

    Dear Ahmed,

    I think you will learn from experience that infants naturally understand octal-binary!

    The idea that each column (in binary arithmetic)
    has a value half or double of the neighboring column is such a simple idea…

    What children have problems with is understanding why we use such a stupid, complicated math system…

    Of course, many children are too wise to call us stupid…

  3. April 23, 2011 at 10:22 am

    I repent.
    I apologize for using the word “stupid”.
    Perhaps I should say “un-informed”.

  4. April 23, 2011 at 10:39 am

    Dear Ahmed,

    It sounds like
    you might be a genius
    in math.

    Please
    ASK THE CREATOR
    to teach you more…

    HE (Blessed be HIS NAME)
    IS FAR MORE INTELLIGENT
    than we…

    In octal-binary,
    please consider the number
    of days in a year.
    Apparently,
    the “nominal” dimension
    is
    365.2421875 days.

    Please convert that to
    octal:
    555`174
    and then look at it
    in octal-binary.

    I don’t know if this will post in three columns correctly:

    1/128
    1/16 1/32 1/64
    1/8
    ———————
    4 1
    32 8
    256 64

    If you add up the above 11 values:

    256 + 64 + 32 + 8 + 4 + 1 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128

    it equals 555`174 (octal)
    or in decimal
    365.2421875

    That is how THE CREATOR designed this planet:

    365.2421875 days per year.

    The internet rounds it off as 365.2422 days per year…

    There is more…

    Roy D. Matheson
    (559) 432-4278 Fresno, California, USA

    • April 23, 2011 at 1:48 pm

      I want to re-do the 555`174

      1/128
      1/16……1/32……1/64
      ………………………1/8
      ——————————
      4……………………..1
      32…………………….8
      256……………………64

      If only I could get the columns
      to post as clean, straigh columns…

  5. April 23, 2011 at 10:47 am

    The above was taught to me
    by Douglas Matheson
    back around 1971.

  6. April 23, 2011 at 11:48 am

    I wish I knew how
    to make the octal-binary
    post correctly
    in three columns,
    so you can see the pattern:

    Here is the basic pattern.

    It extends to infinity
    in both directions.

    Please notice that it goes from right-to-left,
    as in Arabic and…

    Each value is twice as large
    as the previous value.

    In other words, these are 2^N power:
    1,2,4,8,16,32,64,128,256…

    I don’t know if this will post
    in three neat columns.

    I like to arrange them
    in octal-binary
    like this:



    … (Please don’t forget! Right-to-left, like Arabic!)

    1/128 1/256 1/512 = 8^(0-3)
    1/16 1/32 1/64 = 8^(0-2)
    1/2 1/4 1/8 = 8^(0-1)
    —————————-
    4 2 1 = 8^0
    32 16 8 = 8^1
    256 128 64 = 8^2
    2k k k/2 = 8^3 Note: Here, k = 1,024 = 2^10.
    16k 8k 4k = 8^4 “k” facilitates mental approximations.
    128k 64k 32k = 8^5 (fast, in-your-head math)
    k^2 (k^2)/2 256k = 8^6
    8k^2 4k^2 2k^2 = 8^7
    64k^2 32k^2 16,777,216 = 16k^2 = 8^8
    512k^2 256k^2 128k^2 = 8^9

    At this moment,
    I see zero errors-of-fact
    in the above
    octal-binary
    “basic chart”.

    (signed) rm2
    8:48 A.M. California time

  7. April 23, 2011 at 11:49 am

    Sorry!
    The three columns
    were “smashed” together
    by somebody’s software…

  8. April 23, 2011 at 1:42 pm

    I guess I could have used dots
    to separate the columns, like this:

    1/16……1/32…..1/64 = 8^-2
    1/2…….1/4……1/8 = 8^-1
    ..4………2…….1 = 8^0
    .32……..16…….8 = 8^1
    256…….128……64 = 8^2

    Sorry I didn’t think of that sooner!

  9. April 23, 2011 at 1:44 pm

    I still wish
    I could show that table
    with neat, straight collumns.

    If you can do spreadsheets,
    you can quickly generate
    your own (for the integers).

  1. November 5, 2010 at 7:02 am

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