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.
Time and space
Tones appear placed and directed predominantly in time from before to now to later.
Their juxtaposition in a musical composition is perceived
within a prescribed sequence only.
Horizontally, the tones follow each other,
perhaps not in a straight line, but of necessity in a prescribed order
and only in 1 direction – forward.
Tones heard earlier fade, and those farther back disappear, vanish.
We do not hear them backward.Colors appear connected predominantly in space. Therefore,
as constellations they can be seen in any direction and
at any speed. And as they remain, we can return to them repeatedly
and in many ways.
This remaining and not remaining, or vanishing and not vanishing,
shows only 1 essential difference between the fields of tone
and color.The accuracy of perception in one field is matched
by the durability of retention in the other, demonstrating
a curious reversal in visual and auditory memory.