“The first principle is that you must not fool yourself - and you are the easiest person to fool. So you have to be careful about that. After you've not fooled yourself, it's easy not to fool other scientists. You just have to be honest in a conventional way after that.”
Richard Feynman

Surely You're Joking Mr. Feynman

Some good clay advice: stop for just a moment

n

Beautiful work and heart. Hearing about narratives in his works made me look inside and wonder what would my narratives be? I (still) cannot see them … I felt naked.

via Iulia 🙂

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Christopher Alexander – Fundamental Property 10: Gradients

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“… Gradients must arise in the world when the world is in harmony with itself simply because conditions vary. Qualities vary, so centers which are adapted to them respond by varying in size, spacing, intensity and character. Daylight varies from the top floor of an urban building to the bottom floor: both windows and ceiling heights will probably have to vary to adapt to these conditions …

… These gradients will also form centers because the field-like character which is needed to make every strong center is precisely that oriented, changing conditions which ‘points’ towards the center of the center …

Buildings and artifacts without gradients are more mechanical. They have less life to them, because there is no slow variation which reveals the inner wholeness …

… although gradients are commonplace in nature … and in much traditional folk art, they are nearly non-existent in much of the modern environment. That is, I think, because the naive forms of standardization, mass production … and regulation of sizes … all work against the formation of gradients, and almost do not allow them to occur.

… In the towers of the Golden Gate Bridge there is a fine gradation of cell size, member size, ad plate thickness, from the top of the tower, to the bottom, to economize on steel, and place the most material where it is needed most by stresses.”

Christopher Alexander – The Nature of Order – Book 1: The Phenomenon of Life

see also: Paul Krafel: Gradients and Edges

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Christopher Alexander – Fundamental Property 9: Contrast

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“… Life cannot occur without differentiation. Unity can only be created from distinctness. This means that every center is made from discernible opposites, and intensified when the not-center, against which it is opposed, is clarified, and itself becomes a center … in order for the thing to be truly whole, the contrast has to be pronounced … the most important contrasts do not merely show variety of form … but represent true opposites, which essentially annihilate each other when they are superimposed … awareness of silence created by a hand-clap …

In the case of the Shaker classroom … the two bands of wood above shoulder level, because of contrast, form a definite center which would not be there or felt strongly – if the wood were pale … The center which is so formed helps the room to become one, unified …

In the glaring lobby staircase … the contrast – between dark stair and bright window – does not unify … It is not contrast created in order to help centers become alive. IT is either a mistake, or an eye-catching device.

I use this rule to help people understand the fifteen properties: ‘Draw diagrams … sketch something, which has the property in it. But it is not enough to catch the property as you believe it is defined. To succeed, you must make a thing which has the property, and which gains deeper feeling because of the presence of the property. Only when you have managed that, can you be sure that the meaning of the property has not eluded you.’ … only when you … make the thing have deeper feeling, can you say you have grasped the property.

… contrast is also practically necessary: the shop in the neighborhood is different from the houses next to it. The front door is different from the back door … The light i the bedroom is different from the light in the passage. In case after case evidence suggests that the sharp extended and visible differences between things which are different allows each center to make its proper nature. It permits more intensive attention to individual functions. And it creates a feeling of distinction which relaxes people, because it acknowledges and permits different dimensions of experience.”

Christopher Alexander – The Nature of Order – Book 1: The Phenomenon of Life

I’ve done a bit of editing to demonstrate the simulation for the Shaker Schoolroom:

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Christopher Alexander – Fundamental Property 8: Deep Interlock and Ambiguity

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Images selected by me inspired by the ones shown in the book.

“In a surprisingly large number of cases, living structures contain some form of interlock: situations where centers are ‘hooked’ into their surroundings. This has the effect of making it difficult to disentangle the center from its surroundings.

… a similar unification is accomplished through the creation of spatial ambiguity … a common example … is the house with a gallery or arcade round it … the space in the gallery belongs to the outside world and yet simultaneously belongs to the building.”

Profound interlock in Inca stonework

Dovetail as an example of deep interlock

Tile-work and brick in the 16th centur Tabriz Mosque

Christopher Alexander – The Nature of Order – Book 1: The Phenomenon of Life

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Christopher Alexander – Fundamental Property 7: Local Symmetries

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“… Where a living center forms, it is often necessary to have some local symmetry.

… Living things, though often symmetrical, rarely have perfect symmetry. Indeed, perfect symmetry is often a mark of death in things, rather than life. I believe the lack of clarity on the subject has arisen because of a failure to distinguish overall symmetry from local symmetries.

… The Rorschach ink-blot, for instance, is a rather weak whole; it has relatively little life as a structure; its centers are poorly developed. The one large symmetry it has, by itself, gets you very little.

… over simplified symmetry in a building is mot often naive and even brutal … Albert Speer’s design for Zeppelinfeld … is [an] example …

In general, a large symmetry of the simplified neoclassicist type rarely contributes to the life of a thing, because in any complex whole in the world, there are nearly always complex, asymmetrical forces at work – matter of location, and context, and function – which require that symmetry be broken.

We see this clearly in the Alhambra … a marvel of living wholeness. It has no overall symmetry at all, but an amazing number of minor symmetries, which hold within limited pieces of the design, leaving the whole to be organic, flexible, adapted to the site.

… the real binding force which symmetry contributes to the formation of life is … in the binding together and local symmetry of smaller centers within the whole.

… an experiment I did … at Harvard Center for Cognitive Studies … I compared a number of black and white paper strips, and measured their coherence as felt, experienced, perceived, remembered, by different subjects.

… The experiments were performed with 35 black-and-white strips seen on a neutral gray background. Each strip was 7 squares long, and was composed of 3 black squares and 4 white squares, arranged in different arrangements …

First, we established that the relative coherence of the different patterns … is not an idiosyncratic subjective feature of the patterns seen differently by different people. It is an objective measure of cognitive processing, roughly the same for everyone.

Second, we were then able to identify the structural feature of these patterns which caused this perceived ‘coherence.’ It turned out that [it] … depends on the number of local symmetries present in the pattern. However since most of the symmetries are hidden, this feature is far from obvious …

… For three of four years after completing the experiment, I worked almost continuously to find some structural feature of the 35 black and white patterns which would explain the rank order of coherence of the different patterns …

… it was quite unclear how to unite the idea of symmetry with the idea of large lumps. It was this that finally gave me the key, when I realized that both overall symmetries and large lumps actually contain more local symmetries inside them.

.. the strips which are most coherent experimentally also have the highest number of subsymmetries to within a high degree of correlation … The number of local symmetries the pattern contains essentially predicts how ‘good’ it is.

… It is as if the symmetrical segments act as a kind of glue … which holds the space together. The more glue there is, the more the space is one, solid, unified, coherent. And … for the glue to be effective, it seems that many of the symmetrical segments must overlap.

… the local symmetries … though hidden from view … essentially control the way the pattern is seen and the way it works.”

Christopher Alexander – The Nature of Order – Book 1: The Phenomenon of Life

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