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.
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.
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.
Picture a blind man probing his way with a cane. While he is alert to the feelings in the hand holding the cane, the crucial distinction may be defined by saying that these feelings are not watched in themselves, but that he watches something else by way of them, that is, by keeping aware of them. He has a subsidiary awareness of the feelings in his hand, feelings which are merged into a focal awareness at the end of the cane, constituting two kinds of awareness that are mutually exclusive — "from awareness" and "focal awareness".
There is here a particularly interesting phenomenal transformation. The sensations of the cane on his hand (the surface of the cane as it touches the palm of his hand, etc.) are lost. Instead, he feels the end of the cane as it touches an object...If our blind man shifts his attention from the tip of his cane to his hand, the meaning on the end of the cane disappears.