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.
Guided by image
In our minds, the drawings we had originally made for the columns and capitals were no more than first approximations of the final shapes. We assumed that we would work out the real shapes during construction, and left the inaccurate approximations on our drawings, just for the sake of the building permit. Fujita, used to working with architects in System B, assumed that whatever was on our drawings must be what we wanted, and must be implemented as drawn.
Anybody who was making those column capitals, if they had seen this "double" capital, and had been free to make something harmonious, would have done it differently. But Fujita's people, in System B, did not know how to be guided by reality. They were guided by "image".
So Fujita, in this situation, was not free to respond in a natural way to what they saw. They were trapped by the image-making process they were used to. But because of this, they doomed their own carpenters to a pretentious kind of slavery, producing whatever silly images they were told to do, without being able to ask themselves whether they were beautiful, and unable to use their own sense of reality to make them better.