Form
It's cold outside, but this room is quite cozy
Time turned into shape
A pebble polished by waves is pleasurable to the hand, not only because of its soothing shape, but because it expresses the slow process of its formation; a perfect pebble on the palm materializes duration, it is time turned into shape.
The element becomes a sign
Each unit can be seen purely as form, as what it is. Or it can be viewed as having a function. Its function is only understandable within the next higher level of organization. And in every case, function must succumb to the constraints of form. Once this worldly function is assigned, the element becomes a ‘sign’. It falls into the realm of concept. There is a mapping from one thought system to another.
The principle of parallel construction
This principle, that of parallel construction, requires that expressions similar in content and function be outwardly similar.
Blessed are the poor in spirit; for theirs in the kingdom of Heaven.
Blessed are they that mourn; for they shall be comforted.
Blessed are the meek; for they shall inherit the earth.The senses of form and tone
Man painted and danced long before he learned to write and construct. The senses of form and tone are his primordial heritage.
Form and figure
Form applies to “a configuration with natural meaning or none at all,” whereas figure applies to “a configuration whose meaning is given by culture."
Apparency
Half a century ago, Stern discussed this attribute of an artistic object and called it apparency. While art is not limited to this single end, he felt that one of its two basic functions was "to create images which by clarity and harmony of form fulfill the need for vividly comprehensible appearance." In his mind, this was an essential first step toward the expression of inner meaning.
A certain plasticity
There are dangers in a highly specialized visible form; there is a need for a certain plasticity in the perceptual environment. If there is only one dominant path to a destination, a few sacred focal points, or an ironclad set of rigidly separated regions, then there is only one way to image the city without considerable strain. This one may suit neither the needs of all people, nor even the needs of one person as they vary from time to time. An unusual trip becomes awkward or dangerous; interpersonal relations may tend to compartmentalize themselves; the scene becomes monotonous or restrictive.
Strength from both mass and form
Hoover Dam has the shape of an arch dam, but it is actually a hybrid structure, gathering strength from both mass and form. The dam is often ranked as one of the most exquisite of all engineered structures. It is fitted to its site so well that the gnarly canyon wall looks like an organic growth engulfing the mass of concrete.
Notes on the Synthesis of Form
A Book by Christopher AlexanderThe Evolution of Useful Things
A Book by Henry PetroskiHere, then, is the central idea: the form of made things is always subject to change in response to their real or perceived shortcomings, their failures to function properly. This principle governs all invention, innovation, ingenuity.
Inheriting Froebel's Gifts
A Podcast by Kurt KohlstedtFroebel’s Gifts were meant to be given in a particular order, growing more complex over time and teaching different lessons about shape, structure and perception along the way. A soft knitted ball could be given to a child just six weeks old, followed by a wooden ball and then a cube, illustrating similarities and differences in shapes and materials. Then kids would get a cylinder (which combines elements of both the ball and the cube) and it would blow their little minds. Some objects were pierced by strings or rods so kids could spin them and see how one shapes morphs into another when set into motion. Later came cubes made up of smaller cubes and other hybrids, showing children how parts relate to a whole through deconstruction and reassembly.
These perception-oriented “Gifts” would then give way to construction-oriented “Occupations.” Kids would be told to build things out of materials like paper, string, wire, or little sticks and peas that could be connected and stacked into structures.
Form follows function
A Quote by Louis SullivanAgainst form follows function
An Essay by Andrea ResminiI cannot get past the fact that any *designer* who throws that phrase around matter-of-factly, as in “of course form follows function”, comes out as a complete ignoramus. An ignoramus who's not just repeating an 1896 “law” without any clues as to what it means but who also, most poignantly, demonstrates to possess no knowledge of what has happened in design and architecture since Sullivan and Adler contributed to inventing the high rise building and, by extension, much of the world we live in.
On 'The Master and His Emissary'
A Quote by Ian McGilchristPeople who make works of art, whatever they might be, have gone to great trouble to make something unique which is embodied in the form that it is, and not in any other form, and that it transmits things that remain implicit
...Works of art are not just disembodied, entirely abstract, conceptual things. They are embodied in the words they’re in or in paint or in stone or in musical notes or whatever it might be.
How am I doing, wonder?
A Quote by Louis KahnForm comes from wonder. Wonder stems from our 'in touchness' with how we were made. One senses that nature records the process of what it makes, so that in what it makes there is also the records of how it was made. In touch with this record we are in wonder. This wonder gives rise to knowledge. But knowledge is related to other knowledge and this relation gives a sense of order, a sense of how they inter-relate in a harmony that makes all things exist. From knowledge to sense of order we then wink at wonder and say How am I doing, wonder?
Material tour de force: The work of Eladio Dieste
An Essay by Eladio DiesteI have explained, and supported with evidence, the concern for rationality in construction and economy understood in, I dared to say, a cosmic sense rather than a financial sense. However, this is not the whole thing that has guided me. I have also been guided by a sharp, almost painful, awareness of form.
The resistant virtues of the structure
A Quote by Eladio DiesteThe resistant virtues of the structure that we make depend on their form; it is through their form that they are stable and not because of an awkward accumulation of materials. There is nothing more noble and elegant from an intellectual viewpoint than this; resistance through form.
A City Is Not a Tree
- Strands of life
- Impending destruction
- The right overlap
- The difficulty of designing complexity
- Political chains of influence
Strands of life
For the human mind, the tree is the easiest vehicle for complex thoughts. But the city is not, cannot, and must not be a tree. The city is a receptacle for life. If the receptacle severs the overlap of the strands of life within it, because it is a tree, it will be like a bowl full of razor blades on edge, ready to cut up whatever is entrusted to it. In such a receptacle life will be cut to pieces. If we make cities which are trees, they will cut our life within to pieces.
Impending destruction
In any organized object, extreme compartmentalization and the dissociation of internal elements are the first signs of coming destruction.
The right overlap
Overlap alone does not give structure. It can also give chaos. A garbage can is full of overlap. To have structure, you must have the right overlap.
The difficulty of designing complexity
Designers, limited as they must be by the capacity of the mind to form intuitively accessible structures, cannot achieve the complexity of the semilattice in a single mental act. The mind has an overwhelming predisposition to see trees wherever it looks and cannot escape the tree conception.
Experiments suggest strongly that people have an underlying tendency, when faced by a complex organization, to reorganize it mentally in terms of non-overlapping units. The complexity of the semilattice is replaced by the simpler and more easily grasped tree form.
Political chains of influence
In Chicago, formal chains of influence and authority are entirely overshadowed by the ad hoc lines of control which arise naturally as each new city problem presents itself. These ad hoc lines depend on who is interested in the matter, who has what at stake, who has what favors to trade to whom.
This structure, which is informal, working within the framework of the first, is what really controls public action. It varies from week to week, even from hour to hour, as one problem replaces another. Nobody’s sphere of influence is entirely under the control of any one superior; each person is under different influences as the problems change. Although the organization chart in the Mayor’s office is a tree, the actual control and exercise of authority is semilattice-like.
Same name in the same basket
Does a concert hall ask to be next to an opera house? Can the two feed on one another? Will anybody ever visit them both, gluttonously, in a single evening, or even buy tickets from one after going to a performance in the other?
In Vienna, London, Paris, each of the performing arts has found its own place, because all are not mixed randomly. The only reason that these functions have all been brought together in Lincoln Center is that the concept of performing art links them to one another. The organization is born of the mania every simple-minded person has for putting things with the same name into the same basket.
Separation of concerns
Another favorite concept of the CIAM theorists and others is the separation of recreation from everything else. This has crystallized in our real cities in the form of playgrounds. The playground, asphalted and fenced in, is nothing but a pictorial acknowledgment of the fact that ‘play’ exists as an isolated concept in our minds. It has nothing to do with the life of play itself. Few self-respecting children will even play in a playground.
Play itself, the play that children practice, goes on somewhere different every day. In a natural city this is what happens.
Structural complexity
The idea of overlap, ambiguity, multiplicity of aspect, and the semilattice are not less orderly than the right tree, but more so. They represent a thicker, tougher, more subtle and more complex view of structure.
Neighborhoods
We cannot get an adequate picture of what Middlesborough is, or of what it ought to be, in terms of neighborhoods. When we describe the city in terms of neighborhoods, we implicitly assume that the smaller elements within any one of these neighborhoods belong together so tightly that they only interact with elements in other neighborhoods through the medium of the neighborhoods to which they themselves belong. Ruth Glass herself shows clearly that this is not the case.
Cities which are trees
Columbia, Maryland
Greenbelt, Maryland
Greater London Plan
Mesa City, Paolo Soleri
Tokyo Plan, Kenzo Tange
Chandigarh (Le Corbusier)
Brasilia, Lucia Costa
Communitas (Percival and Paul Goodman)
Roman town evolved from military campsIn the worst cases, the units of which these cities are composed fail to correspond to any living reality; and the real systems, whose existence actually makes the city live, have been provided with no physical receptacle.
In a tree structure, it means that within this structure no piece of any unit is ever connected to other units, except through the medium of that unit as a whole.
Sets and systems
When the elements of a set belong together because they cooperate or work together somehow, we call the set of elements a system.
From a designer’s point of view, the physically unchanging part of this system is of special interest. I define this fixed part as a unit of the city.
Whatever picture of the city someone has is defined precisely by the subsets he sees as units.
Natural and artificial cities
I want to call those cities which have arisen more or less spontaneously over many, many years natural cities. And I shall call those cities and parts of cities which have been spontaneously created by designers and planners artificial cities. Siena, Liverpool, Kyoto, and Manhattan are examples of natural cities. Levittown, Chandigarh, and the British New Towns are examples of artificial cities.
It is more and more widely recognized today that there is some essential ingredient missing from artificial cities.
Trees and semilattices
The tree of my title is not a green tree with leaves. It is the name of an abstract structure. I shall contrast it with another, more complex abstract structure called a semilattice.
Both the tree and semilattice are ways of thinking about how a large collection of many small systems goes to make up a large and complex system.
A collection of sets forms a semilattice if, and only if, when two overlapping sets belong to the collection, the set of elements common to both also belongs to the collection. That is, if [234] and [345] belong to the collection, then [34] belongs to the collection.
A collection of sets forms a tree if, and only if, for any two sets that belong to the collection either one is wholly contained in the other, or they are wholly disjoint. Every tree is trivially a simple semilattice.
We are concerned with the difference between structures in which no overlap occurs, and those structures in which overlap does occur.
The semilattice is potentially a much more complex and subtle structure than a tree. It is this lack of structural complexity, characteristic of trees, which is crippling our conceptions of the city.