Tag Archives: Forms

Talking About Spirals

Context Driven Topologies are mathematical groups of ideas and information transmitted over computers and networks.  Their form and process are expressed using drawings and specifications.  Their purpose is to organize and drive network topologies to answer questions and derive meaning from data collections of any size, particularly in open source environments.  The purpose of answering questions and deriving meaning is to foster Collective Intelligence. Refer to Wikipedia Unassessed Systems for related work.

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The default form envisioned for storage mode is a spiral.  Groups of ideas and information can be rearranged infinite ways while working with or distributing to and from precise locations. Locations can be physical, conceptual, or a combination of both.  Assuming constructing exchanges and working this way is possible, what shapes and topologies would be most effective?  What are their properties? What do they have in common? What would a computer and network language about these pathways, densities, colors, transparencies, forms, linkages and exchanges look like?

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Its too complicated to wonder about ALL possible forms, the question can be simplified by just concentrating on spirals for an example. Therefore, a previous post Spiral Model is expanded to incorporate slides prepared by A&A Director Vera W. de Spinadel for a Postgraduate class on Form and Mathematics which focuses on logic and technique. Dr. de Spindel remarks “Of course this has a lot to do with the subject of Context Driven Topologies“. Lets see what this means to computers and networks, starting with :

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Spiral Model, Boehm, 1988, Original Creator: Conrad Nutschan

According to Wikipedia on November 22, 2006: The spiral model is a software development process combining elements of both design and prototyping-in-stages, in an effort to combine advantages of top-down and bottom-up concepts. What a perfect shape spirals are to portray complex evolving relationships. Just imagine the possibilities using spirals as a base structure.

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A Equiangular Spiral and its Secants from the Visual Dictionary of Special Plane Curves

Now for Vera’s slides:

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English captions to be completed at a later date – this slide says “Carrying out some modifications in the process of construction of this spiral, we are going to build other linked with the Numbers of the FNMPP. In the following figure details of the construction are shown.”

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Of course spirals are seen in nature and architecture. Rough translation “Finally, in the country of the Architectural Design, fits to mention the interesting antecedent of the Spiral building, built by the Arq. Fumihiko Maki in Tokyo, Japan in 1985. Maki gue prizewinner with the Prize Pritzker in 1993 and in its Spiral building has utilized the geometry of the curve, that conjugates marvelously the concepts of fragment and unattainable center. The geometric figure is an evocation of the ones that are found in Kyoto, in the famous Temple of Ginkakuji (Silver Building) 1338-1573 and in the Temple of Kinkakuji (Building of Gold) 1398, reconstructed in 1955. Though these denominations of Gold and Silver have religious and historic meaning, they would be able to serve of example to design making use of so much, metallic spirals flat curves like helicoides metallic.”

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The question Vera is looking for is geometrical interpretations of the members of the family of metallic means – which she discovered in 1997. She found a relationship of the golden mean with the pentagon and another of the silver mean with the octagon. And that was all, there were no more relationships with polygons. So, she began trying to construct metallic spirals, generalizing the well known golden spiral – and was successful! She introduced a family of metallic spirals and continues intensively working with the silver spiral. There will be more to see when she presents at the International Conference on Geometry and Graphics ICGG-2008 in Dresden Germany.

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Other computer and network systems that may be interesting to study in terms of forms, dynamic properties, geometry and graphics to streamline information that have been highlighted in recent discussions include:

Artificial Neural Networks

Pattern Recognition

Single Instance Storage

But what is even more interesting is

Homotopy

Collective Intelligence

and

the Information Economy Meta Language IEML see the paper “Collective Intelligence Protocol Semantic Metadata Exchange Standard (CIP-SMES)” by Michel Bietzunski and Steven Newcomb 18 July 2007. A commentary on this paper and Chapter 3 of Topic Maps by the same authors, edited by Jack Park is here IEMLcomments

 

 

 

 

 

 

 

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Juxtaposing Dynamic Forms

Below are images from Dale Chihuly’s Gardens and Glass installed at botanical gardens all over the world. Perfect juxtapositions of beautifully crafted objects, once fluid and rapidly changing, now fixed in time. Purposefully and collaboratively placed in similar backgrounds. The living objects continue to slowly change and grow in ways that are impossible to observe in a single visit. The now-fixed and eternally-changing are simply together, enhancing each other’s beauty, creating a place.

What can designers of modern, fluid, information patterns learn from this stunning collaboration between botany and art? How can cleaning your data and preparing records for deep, widely distributed archiving feel more like working in your garden? If dynamic growing data collections could be shown, and tended to, in forms that were able to be made more beautiful over time…what do newly fixed data structures look and act like in context of slowly changing knowledge domains forming beautifully tended backgrounds?

To really see, be surrounded by, experience and wonder for yourself, please go to the Phipps Conservatory in Pittsburgh PA before November 11, 2007 – where juxtaposing dynamic forms is made real.

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Ontoforms

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This is an image from the Standard Upper Ontology Working Group (SUO WG) Also shown as Fig. 3 in Accuracy&Aesthetic director Kenneth Field‘s upcoming publication “Ontologies, Categories, Folksonomies: An Organised Language of Sound” to be published in the fall and copyrighted by Organised Sound, an International Journal of Music and Technology, Cambridge Journals.
Ken is interested in aesthetic outcomes of the structures and coined the new term “Ontoform” while stating “I’m after living/conscious ‘ontoforms’ that float invisibly in our environment until you put on your x-ray specs.”

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sumo-1.36classes, KennethFields

Debbie is beginning to collect images like the ones above simply to examine standard upper ontologies as forms, functions, and overall designs. The purpose is to devise a method of making ontoforms, designs, and functions more beautiful and locally driven by treating them like building designs communicated through drawings, measurements, models, and special means of specifying.

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Emerging Complexity and Cellular Automata, Wolfram Science

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From Simon’s Computing Stuff: The Dripping Rail rule is a 1D CA rule which is simply an averaging over neighbours and an increment. This module shows the time progression of the CA.

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Dripping Springs by Kevin Caron

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