hierarchy
Excursus: Homage to the Square^3
The problem with trees
Many systems are organized hierarchically. The CERNDOC documentation system is an example, as is the Unix file system, and the VMS/HELP system. A tree has the practical advantage of giving every node a unique name. However, it does not allow the system to model the real world. For example, in a hierarchical HELP system such as VMS/HELP, one often gets to a lead on a tree such as:
HELP COMPILER SOURCE_FORMAT PRAGMAS DEFAULTS
only to find a reference to another leaf: Please see
HELP COMPILER COMMAND OPTIONS DEFAULTS PRAGMAS
and it is necessary to leave the system and re-enter it. What was needed was a link from one node to another, because in this case the information was not naturally organized into a tree.
The brilliance of notion
This, I think, is the brilliance of Notion, and what makes it one of the best examples of “fidelity to digital information” that I’ve come across. The structure of the app reflects the structure of the web itself: digital content is purposefully formatted, like semantic HTML elements, and exists in a hierarchical structure (directories on the web, nested pages in Notion), yet can be linked and referenced to create a complex network of information. And pages in Notion reveal the structure of the information: when nesting a page within a page, the child page always displays on the parent page. There’s no way to create a child page that doesn’t display on a parent page, no way to obscure the structure of the information. The semantic structure of Notion reflects the semantic structure of the web itself.
Separation and connection in all things
Truchet's approach was more topological than geometric, and the qualitative aspects of pattern take priority over the metric ones. His principles provide a kind of metaphor for the hierarchy of separation and connection in all things.
Interlocking
"The art world is highly invested in the idea that you can take an object and set it in a room, and the internal relationships will be so strong and so meaningful that all the kinds of change that take place on the object as a result of its being in a new environment will not critically affect our perception of the object. If that is the given assumption, then the object can be moved from one environment to another without its being critically altered, which then gives rise to the illusion that it can be moved from culture to culture, that it has the ability to transcend its cultural specificity, which in turn gives rise to the ultimate illusion that the object can transcend time. Because what is being claimed is that there exist certain objects isolated and meaningful enough to be transcendent, that they have the power to go on and on, that they are, as it were, timeless.
"Well, one of the things that I was becoming involved in at that point in playing artist was the growing suspicion that this breaking down of the edge, the idea of the painting's moving into its environment, was putting the whole heightened rationale of the art object into doubt. There is simply no real separation line, only an intellectual one, between the object and its time environment. They are completely interlocking: nothing can exist in the world independent of all the other things in the world."