May 10, 2013

Celebrity Recurrence, Professional Graphs, and Nano-Self-Expression

This has been cross-posted to my micro-blog, Tumbld Thoughts:


First up, it’s time for internet memes to meet mathematical concepts. On the left is a conceptual piece I am calling “The Cage Recurrence”. This is based on the Nick Cage vampire urban legend [1]. The transformations in the image are based on the Poincare recurrence (inset A), originally developed by Henri Poincare [2].

A Poincare recurrence occurs when the state of a volume-preserving flow map (e.g. 2-D image) returns to a close approximation of the initial condition after a period of time (usually very long). Theoretically, this is related to ergodic theory and the evolution of Hamiltonian systems [3]. As such, the dynamics of a Poincare recurrence can also be illustrated as a chaotic Poincare map (inset B, left) or a deterministic Baker’s map (inset B, right).



Next up, LinkedIn has a new feature that allows you to visualize your professional social network. It plots all of your first-order connections on the basis of shared connections and other attributes.


The network tends to cluster by workplace/community, but my network includes a lot of people that do not fall into any one category (as do most, I would imagine). InMaps uses programming tools such as Hadoop for handling large datasets and Processing for visualization. Fun!


Finally, here is a feature on nanoscale movies. In 1990, Don Eigler and other researchers at IBM [4] were able to assemble the letters “I-B-M” out of Xenon atoms using scanning tunneling microscopy (STM) [5].



Now, similar techniques have been used to make the world’s first atomic-scale animated short film “A Boy and His Atom” [6]. A “Star Trek” logo is also possible [7]. 


NOTES:

[1] Google “Nick Cage vampire” for more information.

[2] Image/illustration is courtesy of the Max Planck institute for Complex Systems and Crutchfield, J. et.al   Chaos. Scientific American, December (1986).

[3] it may also be the mechanism behind deja vu in “The Matrix” trilogy.


[4] Eigler, D.M. and Schweizer, E.K.   Positioning single atoms with a scanning tunnelling microscope. Nature, 344, 524-526 (1990).

[5] Johnson, D.   IBM Makes Smallest Movie Ever. IEEE Nanoclast Blog, May 1 (2013).

[6] Pachal, P.   IBM Manipulates Atoms to Create the World’s Smallest Movie. Mashable, May 1 (2013).

IBM Research, “A Boy and His Atom”. YouTube, April 30 (2013).

[7] Kramer, M.  IBM Warps Atoms into Crazy “Star Trek” Art. Space.com, May 3 (2013).


17 comments:

  1. Everything has its own importance. Without fail, Logo is your primary identification as well as the first impression. I am going to HAVE to share this post leaps and bounds. Lots of appreciation. logo design

    ReplyDelete
  2. As we all know that a logo is a symbol, representative or signature of a brand, majority of companies prefer to have eye-catching logos for their websites. design logo

    ReplyDelete
  3. Thanks for taking the time to discuss this, I feel strongly about it and love learning more on this topic. Logo design

    ReplyDelete
  4. I cannot wait to dig deep and kickoff utilizing resources that I received from you. Your exuberance is refreshing. logo design

    ReplyDelete
  5. The entire collection is outstanding without fail but the logo design is amazing! creative logo always shine without fail.

    ReplyDelete
  6. Wow i can say that this is another great article as expected of this blog.Bookmarked this site.. Professional Logo Design

    ReplyDelete
  7. I admit, I have not been on this web page in a long time... however it was another joy to see It is such an important topic and ignored by so many, even professionals. I thank you to help making people more aware of possible issues. logo design

    ReplyDelete
  8. Excellent article. Very interesting to read. I really love to read such a nice article. Thanks! keep rocking. Estate Agent Web Design

    ReplyDelete
  9. Comfortably these pages will more than likely irrefutably actually turn out to be reputable involved with a large number of web logs humans, towards her persistent content or probably sentiments. Professional Logo Design

    ReplyDelete
  10. Sometime few educational blogs become very helpful while getting relevant and new information related to your targeted area. As I found this blog and appreciate the information delivered to my database.
    พิมพ์ สติ๊กเกอร์ ฉลาก สินค้า

    ReplyDelete
  11. I am thankful for this blog to gave me much knowledge regarding my area of work. I also want to make some addition on this platform which must be in knowledge of people who really in need. Thanks.
    Web Design

    ReplyDelete
  12. I am thankful to this blog for assisting me. I added some specified clues which are really important for me to use them in my writing skill. Really helpful stuff made by this blog.
    ออกแบบโลโก้

    ReplyDelete
  13. This is actually good to read content of this blog. A is very general and huge knowledgeable platform has been known by this blog. I in reality appreciate this blog to have such kind of educational knowledge.
    โปรโมชั่น ตั๋วเครื่องบิน

    ReplyDelete
  14. I am thankful for this blog to gave me much knowledge regarding my area of work. I also want to make some addition on this platform which must be in knowledge of people who really in need. Thanks.
    เรียน a level

    ReplyDelete
  15. This blog presented itself in a very easy and clear way. Owner of this blog found a very simple way to express its view but when you read this blog completely, you would get to know about how hard it could be to express such in a easy way.
    Dell PowerEdge T330

    ReplyDelete
  16. Professionally written blogs are rare to find, however I appreciate all the points mentioned here. I also want to include some other writing skills which everyone must aware of.
    ป้ายสินค้า

    ReplyDelete
  17. A blog must be connected to the person in need. It is really important to understand the actual feel of such necessity and the essence of objective behind it. Author must give proper time to understand every topic before writing it.

    Jackson web designer

    ReplyDelete

Printfriendly