In my personal opinion, I am closer to your conviction than the 
academic/objective perspective I presented; at least to the extent of being 
able to find a "geometric" core surrounded by lots of ambiguity and 
ineffability.

I even believe in the generative potential of geometric patterns like sacred 
geometry, platonic solids, et. al.; with generativity going a long way towards 
resolving some of the non-core elements of patterns. Alexander's NO Properties 
do have some of this same quality.

in the early days of software patterns, a huge discussion point was the 
"geometry" of programs and if it could be found in: a dependency graph, a 
control flow / state diagram, or with 'artificial' metrics like cyclomatic 
complexity or even LOC/speed of execution.

Within that discussion was an equivalent of QWAN and Liveness—"Habitability." 
The latter being somehow related to the ease of understanding, 'moving around, 
relating-to, and ease of modification and other things that were pretty much 
emotional and definitely idiosyncratic. 

Then, if you could find a geometry, was there any way to differentiate its 
"goodness," "badness," or indifferent-ness? 

I am spending next weekend with Jenny Quillien and Richard Gabriel and will 
bring up this topic.

davew


On Mon, Oct 3, 2022, at 11:28 AM, glen wrote:
> Thanks! I think I get it, now. I don't intend to quibble over the 
> meaning of the word [geo]metry. But just for provenance, I have 
> (roughly) 2.5 conceptions of "geometry": 1) metric spaces, 1.5) metric 
> spaces "normal" to earth and its inhabitants, and 2) anything that 
> arranges points, lines, solids, etc. Under concept (2), all 15 
> properties seem geometric to me, though perhaps only *reductively*. 
> Under (1) and (1.5), I can see how many of them extend to 
> unearthly/abnormal/pathological metrics and, of course, to non-metric 
> conceptions of distance/similarity.
>
> The nameless quality and liveness also seem metric to some extent. Time 
> is nothing but a special kind of space. But I can easily see why one 
> would reject that. The real trick for *my* engagement is to avoid all 
> this talk of architecture, about which I don't care in the slightest. I 
> guess I'm just confused why these people are so anthropocentric. If 
> it's *actually* theoretical biology, then it seems like termite mounds, 
> rain forest structure, etc. would dominate more than "buildings" and 
> such. It's so anthropocentric, it's difficult for me to believe it can 
> be retooled to fit comfortably within non-human biology.
>
> I'd also like to quote from Quillien's book just to push back on how 
> geometric these things are. In the section "Possibility of a New 
> General Law, we see:
>
> "It could be that there is essentially something in the geometry of 
> living systems that creates order by itself."
>
> "New views on the evolving system of genetic material suggest that 
> evolution may follow certain pathways, not because of extraneous 
> pressure, but by virtue of ordering tendencies of internal dynamics and 
> the requirements of geometry."
>
> Hopefully, I could be forgiven for thinking geometry plays a huge role 
> in at least this take on NO. But I'm starting to see why one might 
> think it's applicable without metrics. I can't steelman it, yet, 
> though. 8^D
>
> On 10/1/22 15:19, Prof David West wrote:
>> RE: Alexander and Geometry
>> 
>> First, my notion of 'geometry' may be too simplistic and too Euclidean. If 
>> so, please point out what I may be overlooking.
>> 
>> I did a quick review of Alexander's major works and found few mentions of 
>> 'geometry' as I understand the term. One of the major ones was in Timeless 
>> Way where he deals with Pattern *_Languages_*. The notion that you could 
>> compose architectural insights/truths/novelty by combining patterns much the 
>> same way you would construct a sentence using nouns and verbs. He seems to 
>> be conveying the idea of a geometry-based "grammar."
>> 
>> If you count APL patterns that seem to have any naive geometric aspect, 
>> e.g., "Light From Two Sides" it is less than 10%. If you look at the Fifteen 
>> Properties (listed below), most (1, 2, 3, 4, 5, 7, 10, and maybe 13) are 
>> conceivably 'geometric'. But the most important concept in APL/TO is "QWAN" 
>> and in NO, it is "Liveness"—neither of which have any, that I can see, rely 
>> on the "geometric" properties as much as they do properties like Deep 
>> interlock and ambiguity, Simplicity and Inner Calm, and Not-separateness. In 
>> terms of patterns from APL, this would include things like Dancing in the 
>> Streets, Sleeping in Public, and Storefront Schools which, like most APL 
>> patterns, have little or nothing to do with spatial arrangement/geometry.
>> 
>> I asked Jenny Quillien and Richard Gabriel (both of whom worked extensively 
>> with Alexander and Gabriel was responsible for arranging Chris to be keynote 
>> speaker at OOPSLA) about the importance of Geometry in Alexander and neither 
>> thought it was more than an afterthought or an artifact. Geometry might be 
>> inferred because Alexander liked visual images like the ones attached and 
>> they do show spatial arrangement, a kind of geometry.
>> 
>> [ I think Alexander made a major error with his property, Alternating 
>> Repetition, precisely because he expressed it "geometrically" rather than in 
>> "living' terms as rhythm.]
>> 
>> Nick Salingaros was a far more accomplished mathematician than Alexander, 
>> and did, in much of his writing address more geometric issues/ideas. And 
>> Salingaros did work with Alexander. But both of them despised contemporary 
>> minimalist, functionalist, deconstructivist contemporary architectural 
>> theory which dominated (and dominates) the profession. In this stance they 
>> appear to be anti-geometry (and any similar formalism).
>> 
>> Salingaros interviewed Alexander as to the central or most important ideas, 
>> and the revolutionary nature of Alexander's work. Both men seem to agree 
>> that the essence is:
>> 
>> 
>> /Your point is that architecture is not about//
>> /
>> /building style, but is really a state of mind, and//
>> /
>> /that good architecture is any structure, however//
>> /
>> /modest, that generates an identifiable positive//
>> /
>> /state of mind that allows you to be alive to the//
>> /
>> /fullest extent possible. This idea is profound as//
>> /
>> /well as revolutionary, since it stands architecture//
>> /
>> /on its head. You validate our most basic feelings//
>> /
>> /as human beings and insist that the built environment//
>> /
>> /must nurture our inner joy, sadness,//
>> /
>> /vulnerability, unselfconsciousness, and so on. All//
>> /
>> /the formal architectural concerns — and names//
>> /
>> /like Le Corbusier, Ludwig Mies van der Rohe,//
>> /
>> /Frank Gehry, and Daniel Libeskind — are thus//
>> /
>> /thrown out of the window./ [Salingaros]
>> 
>> /The new form of//
>> /
>> /architecture that I am speaking about is beginning//
>> /
>> /to be understood by engineers, by ecologists,//
>> /
>> /by computer scientists, by builders, by//
>> /
>> /artists, by biologists, by economists. Many of//
>> /
>> /these people recognize that architects are simply//
>> /
>> /not dealing with the problem of the en-//
>> /
>> /vironment in a realistic or useful fashion, and//
>> /
>> /that the task of building now falls on their own//
>> /
>> /shoulders. Under the impact of that kind of//
>> /
>> /thinking, people are now developing new ways//
>> /
>> /of banking, new ways of development, new//
>> /
>> /forms of social reconstruction, and new forms//
>> /
>> /of housing, new forms of sustainable settlements.//
>> /
>> /In many countries, the primary way of conceiving//
>> /
>> /and making buildings and settlements//
>> /
>> /is already people-oriented. It is not recognizable//
>> /
>> /within the existing paradigm as architecture,//
>> /
>> /and architects despise it because it looks//
>> /
>> /low budget, low tech, and is oriented to people’s//
>> /
>> /desperate needs — yet all this is, within//
>> /
>> /the perspective of our new architecture, a major//
>> /
>> /contribution to the new, life-based paradigm.//
>> /
>> /All this is only its beginning. These new//
>> /
>> /kinds of professionals, and new social forms,//
>> /
>> /are beginning to develop and propagate new//
>> /
>> /ways of doing things.//
>> /
>> /And what architects now claim is simply being//
>> /
>> /laid aside as the nonsense it really is/. [Alexander]
>> 
>> Still not seeing much in the way for formalism, let along geometric 
>> formalism.
>> 
>> davew
>> 
>> Alexander's Fifteen Properties from Nature of Order
>> 1. Levels of scale
>> 2. Strong centers
>> 3. Thick boundaries
>> 4. Alternating repetition
>> 5. Positive space
>> 6. Good shape
>> 7. Local symmetries
>> 8. Deep interlock and ambiguity
>> 9. Contrast
>> 10. Gradients
>> 11. Roughness
>> 12. Echoes
>> 13. The void
>> 14. Simplicity and inner calm
>> 15. Not-separateness
>> 
>> 
>> 
>> On Wed, Sep 28, 2022, at 3:02 PM, Marcus Daniels wrote:
>>  > For construction and repair tasks, I would usually need to do some
>>  > planning and reflection. Work out ahead of time what is needed with
>>  > some help from Google.   Or just hire out the work to someone that is
>>  > an expert.   Anyway, more power to you and your hardware store friends.
>>  >  I don’t feel their absence.
>>  >
>>  >> On Sep 28, 2022, at 11:55 AM, glen <[email protected] 
>> <mailto:[email protected]>> wrote:
>>  >>
>>  >> And there're other things you don't get from delivery businesses: 1) 
>> socialization and 2) tacit knowledge. When we set up our "office" in an 
>> industrial space in Oregon, the ceilings were very high. We had no real 
>> ideas for how to build the welding barriers and other things. We broached 
>> the problem to the handy dudes at the local hardware store and all 4 of us 
>> came up with an easy and cheap solution. We 1) made some friends 2) with 
>> different knowledge from ours.
>>  >>
>>  >> I know such things may not matter to some who are anti-social and/or so 
>> wicked smart they never need anyone else's ideas. But for this less 
>> socialized moron, they're important.
>>  >>
>>  >> Amazon is definitely *not* easier or faster at either of those things.
>>  >>
>>  >>> On 9/28/22 10:01, Steve Smith wrote:
>>  >>>> On 9/28/22 10:38 AM, Marcus Daniels wrote:
>>  >>>> Amazon is almost always easier and faster than a local business that 
>> have thin inventory and higher margins.  A local business is a place get 
>> COVID. I find I usually order hardware and equipment online from Home Depot 
>> because the store inventory is kept thin on purpose (like because it is 
>> stolen).  This is why Amazon is on top.   It is a better way to do business 
>> and they are really good at it.
>>  >>> I still buy from local businesses as much as I can *so they will be 
>> there when I want/need them*...   I also find ordering online and picking up 
>> at my front door exquisitely more convenient "in the moment", whether it is 
>> Amazon or Home Depot or Autozone.  But then there are those times when I 
>> don't want to wait a day or three for the plumbing part that gets my 
>> bathroom back to working and it would really suck if the (Ace) Hardware 
>> store run by the local pueblo were closed (they closed a *lot* during COVID 
>> and during the "great resignation" we are still in).
>>  >>>>
>>  >>>> Not everyone is a cow.   We are selected and self-selected into 
>> organizations were our personalities and abilities work.  Some are farmers, 
>> some are cows.   When the cows are left to wander, they get frustrated and 
>> call for farmers. Il Duce!
>>  >>> You sound a lot like John Galt!
>>  >>> And just to double-down on the "aphorisms":  "when you own a cow, the 
>> cow owns you".   I think it goes for golden geese also.   And I think maybe 
>> Mr. Putin is maybe going to get a kick in the teeth by the golden-goose-cow 
>> he has owned now for 30? years...
>
>
> -- 
> ꙮ Mɥǝu ǝlǝdɥɐuʇs ɟᴉƃɥʇ' ʇɥǝ ƃɹɐss snɟɟǝɹs˙ ꙮ
>
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