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.
On Seeing the 100% Perfect Girl One Beautiful April Morning
100% perfect
And through their unremitting efforts they were able to acquire once again the knowledge and feeling that qualified them to return as full-fledged members of society...
Time passed with shocking swiftness, and soon the boy was thirty-two, the girl thirty.
One beautiful April morning, in search of a cup of coffee to start the day, the boy was walking from west to east, while the girl, intending to send a special-delivery letter, was walking from east to west, both along the same narrow street in the Harajuku neighborhood of Tokyo. They passed each other in the very center of the street. The faintest gleam of their lost memories glimmered for the briefest moment in their hearts. Each felt a rumbling in the chest. And they knew:
She is the 100% perfect girl for me.
He is the 100% perfect boy for me.But the glow of their memories was far too weak, and their thoughts no longer had the clarity of fourteen years earlier. Without a word, they passed each other, disappearing into the crowd. Forever.