How does this visualization technique for arithmetics work?

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How does this visualization technique for arithmetics work?

Postby lenarhoyt » Sun Jan 25, 2015 11:14 pm

Hi all, I'm not sure whether my question is on-topic in this forum. If it's not well suited I would be glad if someone could refer me to a more suitable forum. My question is about the visualization technique which is very briefly mentioned in this video: http://www.tubechop.com/watch/4527093

Jake Barnett is a synesthestic, which is presumably why the sticks have different colors, and which might also imply that the technique is much more involved than presented in the talk. Unfortunately, there is no additional information about it and I'm also not sure whether it is a precise representation of how he thinks or whether it's only meant to be illustrative for his talk. Anyway, it seems that it’s based on the unary system, but organized in an binary tree/H tree structure. This is presumably how the notation works:

Code: Select all
    1: ---------------

    2: ---|-------|---

          |    ---|---
    3: ---|-------|---
          |    ---|---

       ---|--- ---|---
    4: ---|-------|---
       ---|--- ---|---

       ---|--- ---|---
    5: ---|-------|---
       ---|--- -|-|-|-

       ---|--- -|-|-|-
    6: ---|-------|---
       ---|--- -|-|-|-

       ---|--- -|-|-|-
    7: ---|-------|---
       -|-|-|- -|-|-|-

       -|-|-|- -|-|-|-
    8: ---|-------|---
       -|-|-|- -|-|-|-

    ...


But how can rotations be used to do addition, subtraction, multiplication and division?
Last edited by lenarhoyt on Mon Jan 26, 2015 12:56 am, edited 1 time in total.
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Re: How does this visualization technique for arithmetics wo

Postby ICN5D » Mon Jan 26, 2015 12:01 am

That looks very interesting, but I can't find anything on it. Seems like a mental math algorithm made by the kid. I google searched, but all I get are articles on tree diagrams.
in search of combinatorial objects of finite extent
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