Ignoring the hologram analogy, I would argue that XML is N dimensional, where N is the number of distinct child element types per node,
or perhaps the maxium number of child elements (of the same type, but ordered) per node.
Which in most cases actually becomes a fractional dimension because N is not constant.
Consider that a point in (n)D space can be constructed by N scaler values on N orthogonal axi(s?).
And that an entire (n)D space can be described by a (possibly infinate) set of points.
Assuming that elements elements have scaler values (big jump here).
And model each element (or element type as you choose) as an orthogonal axis.
Suppose that the root node can contain an arbitrary number of child elements. Any (n)D space can be described in XML.
But of course all this is here & there as dimension has limited or atleast ambiguous meaning in the world of markup.
Back to Engineering, where I like to abuse the Balisage slogan
(my quote) "There's nothing so practical as something that actually works".
What is trying to be achieved with this "3D XML" ?
What is the use case ?On 9/7/2010 5:26 PM, cbullard@hiwaay.net wrote:
This may be one of the ultimate long cycle permathreads. I believe we did this over a decade ago. Before that, I used to make Newcomb and Kipp nuts with discussions such as this, or 'epiphanies' as Neill called them then.
Holography uses a medium to record an interference pattern from a reference beam and a signal beam. In data storage media, the reference beam (a constant) reprojects the image. For physical optical data storage, the technology is straightforward enough. To analogize to XML, you will need analogous roles for these four components of the idea.
Holography isn't a 3D picture. As the Wikipedia resource puts it, it is more analogous to a sound recording. Working the 3Dness of it may or may not be fruitful but YMMV. As I recall the last time through this topic we came to topic maps, link collections and as Kurt reminds us, RDF.
Kallisti.
len
Quoting "stephengreenubl@gmail.com" <stephengreenubl@gmail.com>:
Links within a line between points make the line two dimensional. Links between lines make them three dimensional.
In XML points or nodes are related to eachother making the XML two dimensional. It follows that relationships between instances make for three dimensional XML. Such might be found in a collection or database holding and relating several instances or by using XLink or in the case of XHTML, hyperlinks.
Best regards, Steve
Stephen D Green
-----Original Message-----
From: Peter Hunsberger
Sent: 07/09/2010 7:15:02 pm
To: Micah Dubinko
Cc: Costello, Roger L.; xml-dev@lists.xml.org
Subject: Re: [xml-dev] Holographic XML
On Tue, Sep 7, 2010 at 12:54 PM, Micah Dubinko
<Micah.Dubinko@marklogic.com> wrote:
XML is 1-dimensional. It is defined as a sequence of characters. This is true even of, for example, an SVG document.
There is no need for XML to "expand" to more dimensions, though higher-level layers might come in to play.
I'd disagree: a sequence of characters is a lower level representation
than XML; XML adds semantic and syntactic representation on top of
that and gives you much more than a "sequence of characters."
--
Peter Hunsberger
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