Playing with Small Natural Numbers Network

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Discussion Overview

The discussion revolves around the exploration of a network based on small natural numbers. Participants share their interests in networks, particularly in relation to number theory and its applications. The conversation includes references to existing literature and personal projects that intersect with the topic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant shares their project on natural numbers networks, expressing hope for new ideas to emerge from community interaction despite lacking a formal background in number theory.
  • Another participant references the work of Barabasi, Strogatz, and Watts, suggesting that there are others with similar interests and projects, while also acknowledging their own lack of formal training in number theory.
  • General reading recommendations are provided, which may relate to the themes of networks and symmetry.
  • A participant mentions a personal project titled "Organic Symmetry," which explores connections between lattices, matrices, and the unification of social and physical spaces.
  • One participant expresses interest in feedback on their work related to global social networks and acknowledges the need to revisit their choice of generated network based on intuition.

Areas of Agreement / Disagreement

The discussion features multiple viewpoints and ongoing exploration of ideas, with no clear consensus reached among participants regarding the approaches or interpretations of the network based on natural numbers.

Contextual Notes

Participants acknowledge the limitations of their backgrounds in number theory and the intuitive nature of some of their choices in the project. There is also a mention of the need to revisit certain aspects of the generated network.

Who May Find This Useful

Individuals interested in networks, number theory, and the intersection of social and physical sciences may find this discussion relevant.

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Since my late interests have been related to networks, I've started a pet project focusing on natural numbers network. I wanted to share my early explorations with this community since you have the proper background to interpret the results. I chose this network exactly because compared to real-world networks that are in my focus during the daytime, numbers network has been analysed for centuries and I hope that new ideas will emerge from this interaction. I acknowledge that for given topic, using number theory would be more appropriate, but hopefully you will find something interesting in the results. Please note that I do not have background in number theory.

Since the report is rather long and includes diagrams, I'm posting a link to my blogpost. You can expect to find there analysis of the common properties of networks.
http://www.ideavoid.com/blog/2010/10/playing-with-small-natural-num.html

Looking forward for your feedback.
 
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Hi Networks,

Can I take it that you are familiar with the work of Barabasi as well as Strogatz and Watts? While I might be the wrong guy to give you the manner of feedback you are looking for, if only because I have similar interests as you and also have no formal number theory training, what I can tell you is that there are others out there thinking in similar manner as you are. By way of example, the long term project I am working on?

"Organic Symmetry: Explorations in Linking Lattices and Matrices to the Unification of Social & Physical Spaces"
(title provisional)

I'll try to take a closer look at your report at some point in the near future.RaphieSome suggested general reading if you haven't already read these books:

Consilience - E.O Wilson
Nexus - Mark Buchanan
Critical Mass - Philip Ball
Linked - Albert Laszlo Barabasi
The Music of the Primes - Marcus du Sautoy
Why Beauty Is Truth: A History of Symmetry- Ian Stewart

Also...

Gut Feelings - Gerd Gigerenzer
The Singularity is Near - Ray Kurzweil
Here Comes Everybody - Clay Shirky
 
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Thanks Raphie, I've read only some of the general reading you suggested. Looking forward for your feedback - my daily work is related to global social networks.

CRG, as for your comment on the choice of the generated network in mymathforum - since it was based on intuition, I'll need to take a moment to revisit that part.
 

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