“I start from one point and go as far as possible. But unfortunately, I never lose my way. I say unfortunately, because what would interest me greatly is to discover paths that I'm perhaps not aware of ... The harmonies have become for me a kind of obsession, which gives me the feeling of looking at music from the wrong end of a telescope.”
John Coltrane

Coltrane: The Story of a Sound

Christopher Alexander – Fundamental Property 5: Positive Space

“What I call positive space occurs when every bit of space swells outward, it substantial in itself, is ever the leftover from an adjacent space. We may see it like a ripening corn, each kernel swelling until it meets the others …

An almost archetypal example of this positive and coherent state of space may be seen in the 17th century Nolli plan of Rome. In this plan each bit of every street is positive, the building masses are positive, the public interiors are positive. There is virtually no part of the whole which does not have definite and positive shape. This has come about, I think, because of these spaces … has been shaped over time by people who cared about it, and it has therefore taken a definite, cared for shape with meaning and purpose …

In the present Western view … we tend to see buildings floating in empty space … the buildings … have their own definite physical shape – but the space which they are floating in is shapeless, making the buildings almost meaningless in their isolation. This has a devastating effect: it makes our social space itself – the glue and playground of our common public world – incoherent, almost non-existent …

Here in the famous Kizaemon tea bowl, now preserved in Japan … its beauty lies in the fact that not only does the bowl have a beautiful shape in itself, but that also the space next to the bowl has a beautiful shape. One might even say that the beauty of the bowl is created by the fact that the space next to it is beautiful.

… In Matisse’s cut-out blue nude, every part of the space is positive …

The definition of positive space is straightforward: every single part of space has positive shape as a center. There are no amorphous meaningless leftovers. every shape is a strong center, and every space is made up in such a way that it only has strong centers in its space, nothing else besides.”

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

Nature of Order - Table of Contents"
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