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.
The Lorax
Deep in the Grickle-grass
And deep in the Grickle-grass, some people say,
if you look deep enough you can still see, today,
where the Lorax once stood
just as long as it could
before somebody lifted the Lorax away.I speak for the trees!
This thing is a Thneed
"Look, Lorax," I said. "There's no cause for alarm.
I chopped just one tree. I am doing no harm.
I'm being quite useful. This thing is a Thneed.
A Thneed's a Fine-Something-That-All-People-Need!
It’s a shirt. It's a sock. It's a glove. It's a hat.
But it has other uses. Yes, far beyond that.
You can use it for carpets. For pillows! For sheets!
Or curtains! Or covers for bicycle seats!"The Lorax said, "Sir! You are crazy with greed.
There is no one on earth who would buy that fool Thneed!"Biggering
I meant no harm. I most truly did not.
But I had to grow bigger. So bigger I got.
I biggered my factory. I biggered my roads.
I biggered my wagons. I biggered the loads
of the Thneed’s I shipped out. I was shipping them forth
to the South! To the East! To the West! To the North!
I went right on biggering...selling more Thneed’s.
And I biggered my money, which everyone needs.The last of them all
And at that very moment, we heard a loud whack!
From outside in the fields came a sickening smack
of an axe on a tree. Then we heard the tree fall.
The very last Truffula Tree of them all.UNLESS
The Lorax said nothing. Just gave me a glance.
Just gave me a very sad, sad backward glance,
as he lifted himself by the seat of his pants.
And I'll never forget the grim look on his face
when he hoisted himself and took leave of this place,
through a hole in the smog, without leaving a trace.
And all that the Lorax left here in this mess
was a small pile of rocks, with one word...
UNLESS.The word of the Lorax
But now, says the Once-ler, Now that you're here,
the word of the Lorax seems perfectly clear.
UNLESS someone like you cares a whole awful lot,
nothing is going to get better.
It's not.