Tractor Math

Y’all might not be familiar with my Tractors-based approach to learning Python, a portal to computer science more generally.

We start with an XY grid of addresses, called a Field, and the tractors traverse said field in a raster pattern, perhaps planting (storing) Unicode characters (or the ASCII subset) as they go. 

A real tractor wouldn’t drop off the end of a row and reappear at the start of the next, such as when reading horizontally and always starting at one end (or the other). 

In contrast, some examples of Etruscan writing show the letters marching in a zigzag pattern, reversing direction and coming back. Boustrophedon.

← ← ← ← ← ←   usual Etruscan direction

← ← ← ← ← ←

→ → → → → →   boustrophedon: alternate-line direction

Today and yesterday I was working with a real tractor, diesel powered, pulling a mower getting its torque, its high powered spin, from a rotating shaft designed into the tractor itself. 

The pull-behind mower is raised and lowered by a control lever at the driver’s right. I had it set to about level 3, pretty close to the ground. This John Deere tractor has cruise control. I’d set it and devote my attention to steering the thing.

I found myself doing neither a side-to-side reading pattern nor a boustrophedonic pattern, but rather a surface spiral as I mowed a rectangular or other polygonal patch by shaving the outer edge, progressively reducing the surface area of the as yet un-mowed portion.

A tractor doesn’t turn on a dime, even though it has a tighter turning radius than most cars. A more experienced mower would likely avoid as many tight turns. I had several hours to contemplate the First Person Physics of it all and I believe gradually improved my performance. 

I got some tips from the owner of course. He was doing the same thing I was, but with a bigger tractor and mower combo.

I’ve been to this Willamette Valley farm, near the McKenzie (a feeder river) on previous occasions, and have engaged in wide variety of activities as a “token” farmhand. Our joke this time was that if I do  enough hours I can take it to the next level and add the suffix “bob” to my name, as in Kirby-bob. 

Picture some guy in bib overalls with a straw hat maybe. I had sunglasses and suspenders, looking the part. The owner already goes by Jimmy-bob at Starbucks.

One might suspect I’m laying the groundwork for running for office, like by shaking hands or squeezing babies. Maybe I wanna endear myself to the voters. But that’s not it. I’m a curriculum developer not a politician. I want kids to learn Python, while learning something about farming.

Did I mention at least some versions of my Tractor type require refueling or they stop moving? Logo turtles (in the computer language Logo) don’t do that out of the box. Tractor graphics might take root in MIT Scratch first. We’d move from Scratch to Codesters at Coding with Kids. 

One of my Tractor types, a subclass of TractorWriter (the kind that plants Unicode characters), is programmed to plant a rough ASCII view of the Mandelbrot set, kind of how Mandelbrot himself first started to see it, on CRT at IBM.

Our Wanderer at the Etruscan dig on the Italian peninsula has returned to Cascadia.

Crazy Times

Monkey Face near Smith Rock, Oregon. Google Earth 3D View.

The DCers appear to be gearing up to send their mercenaries into Persia, even as their so-called war secretary (Peter Hegseth) faces impeachment in the so-called congress (Thomas Massie), and even while their scapegoat prez suffers from serious psycho-physiological medical conditions (exactly which ones depends on whom you ask). 

No one “in the know” sees the prez as the one calling the shots. He takes orders and/or follows cues, as a paid actor. The USA we had known was long gone by this time (see Grunch of Giants, St. Martins Press, 1983). The partisans still hope we believe in their brand of theater nonetheless (I don’t).

The Lower48ers do not support this illegal, post constitutional war by a large margin, but their vote ceased to matter when the USSA and its politburo of oligarchs was formed in its place. We live in a post USA chapter now.

“We the people” are mere spectators, trying to follow the action outside the propaganda channels, as DC’s morons force their sleazey programming down our throats via the satellite TV cables, exercising both soft and hard power against the American peoples.

I’m on vacation in the Monkey Face area. That’s a geographical feature in Central Oregon. I come here quite often and so know my way around, but that doesn’t mean I have exhaustive knowledge of the environs. On the contrary, I learn something new every time I visit. I’ll be pushing off in the morning.

The Iron Curtain (movie review)

I’m gonna recommend this one for helping us walk it back a few generations, to the 1940s, with “atomic secrets” the comic book focus, in Spy vs Spy. This one is about power dynamics among those in the know regarding fission (later fusion) as a power source, pre the whole Oppenheimer saga, or more accurately: concurrently.

I’m committing the sin of commenting before the movie is even finished, but on the other hand that’s a valid way to review a film: en progresso so to speak. I’m with the lady who just had the baby, and her wanting to blend in by being friendly with the neighbors. Doesn’t her guy know that being aloof and standoffish is a sure fire way to call attention to oneself?

I’m at the part where her guy has just come home from an emergency meeting or briefing or something, to find his wife, who has just given birth, on her feet and bustling around like nothing happened, while the nice neighbor lady cradles the newborn. The neighbor has just left and the guy is reprimanding his wife for fraternizing with the natives. He’s dumb dumb dumb. Hah hah.

Anyway, once I get this fully viewed and returned to Movie Madness I’m gonna check out what they have that’s Nepali. I have a reliable source telling me Nepali films of this era are well worth catching and I believe it. The question is: will MMU have anything that recent? Prolly not. I’m gonna have to look for a film festival for that kinda stuff.

I think what’s really confusing tongues today is the fact that the USSR is as no longer with us as MAGA isn’t. There’s this tendency to refight, or re-litigate as they say today, battles gone by. Capitalism versus Communism isn’t where the action is in this next epoch. We’re more focused on topics like climate change and global shipping. Pipelines. Grids. Satellite constellations. Global data.

Which reminds me, I haven’t seen much evidence of a United Nations in the plot so far. Not surprisingly, cuz the UN was still in the future back then, duh. 

That’s when a lot got formalized, when the UN did. People forget that Third World meant nonaligned, meaning not party to the bipolarism then gripping the bipolarites. The nonaligned intended to stay out of the whole Capitalism vs Communism drama as both were alien Euro ideologies being transplanted willy-nilly, as if no other shoptalks could possibly pertain. 

By now, most of that 1900s discourse is archival. It takes work to exhume the old mindsets and movies such as this one do an excellent job of prying open the tomb. I commend it to psychological anthropology syllabi. 

Thinking About Deb

I’m thinking about my friend Deb, going into hospice. She’s a medical doctor and has done her best to treat her cancer with peer professionals. She’s been getting the most out of living. 

I got to join her at the Oregon coast this April on Earth Day, where she and her dog Shelby were enjoying the scene. For me and my dog Sydney, it was a day trip, action-packed. 

She later came through Portland and we attended the Amy Goodman film (with Amy herself on stage).

Mortality has always been a big topic for me, something I ponder, as part of the life experience. I’m far from unique in this regard, hah hah. It’s the human condition.

I first met Deb through my friend Russell Chu, who was to become her husband. Our respective families developed in parallel, our kids growing into adulthood. Lots of adventures.

Travelogue Entry

When working on a skillset, one may apply different spins: 

• This is a rehearsal in a low risk secure environment for a future time when I'll be encountering more unknowns.
  
  
• I'm just staying in shape, maintaining my skills at a certain level per the use it or lose it philosophy (just use it)

Having just encountered the unknowns of LAX / LA and Uptown Whittier, I could see myself in rehearsal mode. Whereas without specific plans, I'm really just being a stumblebum, per usual, or Wanderer as we like to call ourselves.

Either way, I practice being a smooth operator, like no tripping on my own shoelaces, no leaving stuff behind (I messed up on that one, see below). 

I posit a lot of us hate feeling micromanaged, like by those especially busy-body parents who think parenting means finding fault in not doing everything precisely per their specifications (I'm not saying my own parents were like this; they were not). What's more, they self-righteously believe their interventionary commentary (or worse) is helpful, making them seem even more insufferable.

Well, my antidote for that is to enjoy the benefit of your own personal bicameral mind, or I guess I should say "brain", as "bicameral" is with reference to a brain's physiological structure. 

However "bicameral mind" (Julian Jaynes) suggests something more like an internal dialog, like when the proverbial angel and devil sit on alternate shoulders and whisper persuasive arguments to some in-between Ego (an egg or "I" -- an I-egg).

Along those lines, create an observer-monitor-coach who does micro-manage, but in a way the other half (of your bicameral mind) accepts. Such an expert coach knows when to offer praise, not just criticism. 

Treat yourself right (lovingly). Create the ideal "parent" (supervisor, superego) with the goal of sharpening up your performance. Imagine a voice that offers up the right advice at the right time, reliably, and without sucking off your credit or debit card to do so. Tap into that inner wisdom, why not?

My lunch loop today started on the FX2, with a visual update on my way to the bus stop of the progress being made on the SE 38th and Division food pod. The shared interior, which these pods tend to have, is very close to completion. 

I took the bus eastward, bringing a 3-ring binder of bus reading, and a book purchased at the Clinton Street Fair. I also had along a photocopy of some handwritten notes by Gurdjieff.

I alighted from the bus at SE 113th and backtracked to Roman Market for lunch. The young woman behind the counter was patient with me, and with herself (good coaching) when she couldn't find an English description of the second soup (the first being cream of mushroom). I opted for it anyway (I'd call it potato vegetable) and consumed it along with rice pilaf and chicken schnitzel, all in all quite a large meal, something I wanna walk off. 

Roman Market is Russo-Uke-Baltic and like that, what around here we call Eastern European, but more like before NATO's divisive politics.

I retraced the route along Division, this time on foot, back under the I-205 bridge to the Max stop, Green Line, first checking out a bar I was curious about (not to drink, just to take a couple pix). 

Taking pix was on my mind the whole time, per the embedded album above.

I alighted in Hollywood, in the new Movie Madness neighborhood (it'll open there in 2027), this time to check out The Q. Dr. D. had heard from friends that The Q was worth visiting and upon looking it up I discovered the Sushi Chiyo place I already frequent is an integral part of it. Amazing. More pix.

Coming home on the 75, after briefly ducking into Trader Joe's (dried mangos, cranberry juice, cheese puffs, mints), I sat next to Paul, the owner of some of the gardening tools in my garage and on my patio, from previous enterprising. Paul and I talked about the late Glenn Stockton, our good friend in common.

Two random acts of kindness towards me:

1. A woman at the Gateway Max stop saw me standing there waiting, and to her eye I looked distressed and she asked if I was OK, and could she do anything. She was on the older side but younger than myself, and looked athletic, with her helmet and bicycle (more like me on other days). I guess I wasn't such a smooth operator after all if just laying eyes upon me inspired concern on the part of strangers. Upon assuring her I was OK, saying "actually I'm fine, but thanks for asking" I looked up and reminded myself this was a major clinic stop and a lotta people here were suffering from medical conditions. In her professional life, this lady was maybe a doctor or nurse, trained to be concerned for possibly undiagnosed or inadequately addressed conditions.
   
   
2. A much younger young woman ran out of Trader Joe's after me, after I'd packed my shoulder bag myself (the clerk had offered to) with the purchased items, but I inadvertently left the dried mangos behind. She (not the clerk) ran out of the store calling after me, and brought them to me. I believe she was a TJ employe. "Oh thank you, that's very kind of you" I said.

Before all this bus and train stuff, I'd done an earlier breakfast loop bike ride to Sellwood, coming back by Max and FX2, a loop I do rather frequently, weather permitting. 

I snapped a couple pictures of the miniature train at Oaks Park. And even before that, a routine Zoom meetup. I mention these details in part to explain what all is in the embedded Flickr album.

Another detail: while sitting at Roman Market, I was challenged by my "coach" (see above) to upload some just-taken pix to Facebook. 

Sounds easy right? But the pix were on a different device, the Canon PowerShot SX 740. That camera has the ability to talk by WiFi and Bluetooth to neighboring devices, such as my smartphone. 

Whereas I'd connected it with my iPad over WiFi, a task which requires downloading a Canon app, I'd never done it with my iPhone. It took awhile, but I eventually succeeded. I'd later reupload the same pictures, in full resolution vs shrunk down JPEGs, when back in my personal workspace.

Random Notes

Gemini generated

As a first approximation a First Person Physics would wanna overlap with Newtonian mechanics big time, meaning notions of power, energy, momentum, force, velocity and action would need to be defined and distinguished in much the same ways, while adding voltage, current and resistance as post-Newtonian concepts nevertheless connectable to same, bridging through energy, which may be stored, as potential.

Adding electrical concepts adds water, so to speak, meaning the hydrodynamical metaphors.

Force for a distance is work (W = E), reminding us of Sisyphus (a mnemonic), with s for distance and our laboring rock pusher both. He pushes (accelerates) a rock against gravity, up a hill, for a distance, spending energy, doing work. 

How fast he accomplishes this work relates to horsepower but let's think in "energy slave" terms. How many robots would it take to push the rock to the top in just under five minutes? In under two?

Power through a transformer is a constant. It's not like in boosting the pressure behind each marching charge-bearer (marching back and forth in AC) that we're gaining energy from nowhere. Energy is conserved. What we lose or gain in voltage pressure, we gain or lose in current. 

Less current at high voltage is better for long distance transmission via conductors, whereas lower voltage with more juice flowing is what end-user loads will require, with a transformer in between primary and secondary networks.

Force through a time will alter a thing's momentum, and a delta in momentum is in units of momentum. The more the force the more the change. 

Sisyphus is likewise working through time and at the end of the day both time and distance apply, taking us in both cases to action. Lights, camera, action (said the director god).

Energy is action (S) with a frequency (E = Sf or S/t) or mvs per t. Sisyphus belongs here too, as an agent or actor, one who acts. Little-s represents the difference he's making, in the rock's position in space.

Think of a frame of exposed film. Action happened in a time requiring an energy expenditure. Speed up the film: more power. Power (P) is Energy per time (E/t).

So now we have big-S action and little-s distance. The big S might stand for "swerve" as in "swervy curve" and represents "least action" in the sense of a Lagrangian, wherein the difference between  potential and kinetic energy is optimized along the resulting pathway. 

Nature is not into unnecessarily wasting energy when it comes to balancing all the tradeoffs. She has to take everything into account, by definition.

from a Perplexity query

Lifestyle Engineering

I was just thinking about how old dogface, Sydney, doesn't join me on the upper (outer) floor anymore, given she's almost 15 and stairs are more problematic than before. 

Then, after walking to Tropical Hut for a mouse for Barry (python) and coming upstairs to send it off (to a next nirvana), drink a diet 7-Up, and blog, I heard that huff-puff of the dog engine. She had joined me. Crazy mutt (she's an English Labrador, chocolate). I was effusive as I pet my pet. Good dog! 

We old farts need our exercise. I try not to overdo it or underdo it. Tomorrow there's no chance of rain until evening, and it's a Saturday, meaning very light traffic and likely no line at Voodoo Doughnuts. Which reminds me: I watched a vid about the rise and fall of Krispy Kreme today, along with a few other business stories. Wendy's. 

I'm supportive of private businesses and think ownership often translates into stewardship, but it all depends who it's "by" as in "owned by". If you're owned by ruthless money-makers who care naught about the biz and only about running up debts, paying themselves, and cashing out, you're unlucky. There's a very fine line between venture and vulture capitalism, oft crossed. "Worker owned" is a viable model and my understanding is the vultures will often attack such ventures as a threat to their own way of doing business.

Overall, I think people bandy about words like "socialism" and "capitalism" without stopping to consider that we might have outgrown this creaky old terminology. David Graeber, the anthropologist, helped us understand the vast variety of social models, big and small, concentrated and spread around. Lifestyles are experimental and in advanced civilizations it's no crime to copy what works. 

Ethnicities that punish so-called "cultural appropriation" aren't usually my favorite.

Billionaires are boring because experiments of singular families living the high life are a dime a dozen. We learn more from times when strangers come together and hammer out a suite of solutions. I think of Vanport, Oregon, a company town created by Kaiser Steel under the pressure of fighting alongside Russia to defeat the fascist mind-viruses then raging through Germany and Japan. Liberty ships. 

Portland was rescued from becoming another plain vanilla (as in white) KKK town, even after Vanport itself was washed away by the Columbia.

The Lower48 has a very weak public sector, making it easy for private companies to run their experiments on a target demographic of guinea pig. Testing the effectiveness of various "messaging campaigns" (influence operations, psyops) means trolling in selected markets before rolling out anything major. Cambridge Analytica and Internet Research Agency were up to the same thing, with the former taking credit for Trump's victory (in cahoots with Facebook) and the latter taking the blame (per Russiagate).

Nerd Nook

related blog post

:: dusting off an old deck ::

Labor Day 2026

The Dog Stars (movie review)

I don’t recall ever seeing a preview for this one, despite my somewhat regular attendance of late, at The Bagdad, and even some other first run theaters, such as Minions 3 at Regal. A theme of late (HB2U officer Bader) is how my memory is more of a sieve than I remember, as I’d just seen Minions 1 in 3D (a discontinued home theater technology) and didn’t remember having seen it, and even reviewed it.

This film fits under Horror in the zombie movie tradition, as the baddies are pretty thoroughly dehumanized and violence against them is mostly low-balled as in “shooting fish in a barrel”. However the movie does build to a climax when the protagonist sets out in his Cessna (the main prop in this film) to trace a stray radio signal. By the time he gets there, he has acquired a new family and is less suicidal than when he first lost his dog Jasper.

The radio signal leads them to a fully functional airport, on the face of it, although it proves somewhat of a hive mind, as expected. Darlene is the central figure and plays the iconic antagonist, I thought well. Having just been through Airport World (SeaTac and LAX), I was primed for this liminal space (just passing through).

Having done almost no research ahead of time, I did remember the word “uplifting” or something like that in some reviews, prolly cuz the goodies don’t lose too many, but for the dog and in the flashbacks. The dehumanized don’t get a backstory. They’re reapers, kinda like in Serenity. 

Mennonites are among the goodies and represent humanity going forward, now immune to the apocalypse-causing virus. Given the setting is Colorado, there’s a humorous dig at neighboring Utah, given the supporting hero is phobic towards Mormons, which reminds me of another movie (also horror).

Travel Tableau

Data Land

:: Life in Lesotho ::

Upon arrival in Greater LA from SeaTac, my Facebook feed started showing what’s happening in this geo-context. Place based. Not complaining. I’ll even go so far as to say nifty. The option to buy tickets (while riding the Metro C line) to an immersive art installation called DataLand, got me thinking.

R.B. Fuller’s claims about how Everyman now surpasses in wealth that of Emperors and Kings n Queens is of course easy to grok when one remembers what one takes for granted (forgets). Electricity to take one example. The ability to do work, piped to one’s home. Voltage pressure on tap. Solar fusion shared out through grids, interconnected or locally islanded.

Catherine the Great didn’t have an Apple Watch nor the prospect of ever having one. Court-based life, then considered a high living standard by those who liked to play dress-up, was miserable across the board (in France, Germany and England too)  by today’s living standards, a slum.

What if we think of CBDs (central business districts) around the globe as already those much vaunted “AI data centers” we so much hear about. Sure, they’re bio-based and so called “slow” (relatively) by marketers and even some scientists, but this isn’t about comparing relative speeds. 

We work together, in synergy, in this picture. 

“Mind” is what stays out of the picture, but not because it’s not a factor, in our U = MP. In grokking non-duality (always trending) we become one with the Borg. Resistance is futile, but then there isn’t any, except internally. We’re all embedded.

:: Virtual Mural ::

Shaking the Rattle

Thanks to Ryan of Polydactica, whom I first met through Andrius of Anaheim and Lithuania (I’m near Anaheim right now), I became more aware of two trending topics: Category Theory and Liminal Spaces. 

Category Theory (CT) is a shoptalk embedding the idea of a “topos” which my spellchecker doesn’t like. Lets give that word some context, with a quote from the Stanford Encyclopedia of Philosophy (SEP):

All this work culminated in another notion, thanks to Grothendieck and his school: that of a topos. Even though toposes appeared in the 1960s, in the context of algebraic geometry, again from the mind of Grothendieck, it was certainly Lawvere and Tierney’s (1972) elementary axiomatization of a topos which gave impetus to its attaining foundational status. Very roughly, an elementary topos is a category possessing a logical structure sufficiently rich to develop most of “ordinary mathematics”, that is, most of what is taught to mathematics undergraduates. As such, an elementary topos can be thought of as a categorical theory of sets. But it is also a generalized topological space, thus providing a direct connection between logic and geometry. (For more on the history of categorical logic, see Marquis & Reyes 2012, Bell 2005.) 

CT has a “Bourbakian” flavor, which to me means it revels in abstraction, but not without some diagrams involving ovals and arrows (should we credit American pragmatist C.S. Peirce as an influence here?).

SEP again:

Categories, functors, natural transformations, limits and colimits appeared almost out of nowhere in a paper by Eilenberg & Mac Lane (1945) entitled “General Theory of Natural Equivalences.” We say “almost,” because their earlier paper (1942) contains specific functors and natural transformations at work, limited to groups. A desire to clarify and abstract their 1942 results led Eilenberg & Mac Lane to devise category theory. The central notion at the time, as their title indicates, was that of natural transformation. In order to give a general definition of the latter, they defined functor, borrowing the term from Carnap, and in order to define functor, they borrowed the word ‘category’ from the philosophy of Aristotle, Kant, and C. S. Peirce, but redefining it mathematically.

I thought Perplexity did a good job answering my question about whether the idea of a functor was analogous to an analogy, making “natural transformation” mean “analogous analogies”. 

I liked that as a specific example it featured the hydraulics-to-electronics analogy, as being of the functor type. 

Functors are akin to translations between natural languages, giving rise to different ways of expressing the “same thing”. 

Natural language processing (NLP) makes analogous analogies a central focus, seeking to encode the generic essence of relationships in a generalized semantics. I sound like a chatbot now. I’m shaking my rattle. 

A natural transformation takes us from one analogy to another (a meta-functor).

A phrase which stuck with me, an analogy of sorts: “toposes could prove to be for the 21st century what Lie groups were to the 20th century.” 

Both provide overarching schemas, conceptual frameworks, inside of which more specific systems (of concepts) do their thing. Conventionally such overarching schemas are called “foundations” but if we zoom out to just see “in-falling to form a spherical network” then our “foundation” is more like a “spaceship” (freely floating).

When used to characterize a specific mathematical domain, category theory reveals the frame upon which that area is built, the overall structure presiding to its stability, strength and coherence. The structure of this specific area, in a sense, might not need to rest on anything, that is, on some solid soil, for it might very well be just one part of a larger network that is without any Archimedean point, as if floating in space. To use a well-known metaphor: from a categorical point of view, Neurath’s ship has become a spaceship.

I’ll be pestering Perplexity about Neurath’s ship.

Friendly Skies

I picked up a book of Quaker writings in Quilcene, from a little outdoor booth where you’re trusted to simply leave the asking price in a jar. 

I’m impressed by the level of community living skills expressed among so-called anarchists, a word with too many connotations to be that useful, and oxymoronic to boot, as structured living requires discipline, self regulation, organization. 

Food Not Bombs, my neighborhood chapter, was likewise a pretty tight ship. Anarchists see what needs doing and do it. How Bucky Fuller of them. 

That African Heritage restaurant in Everett, Washington lived up to our expectations. I was with some dance school students local to the area. I enjoy touring in the company of indigenous people vs trying to figure it all out on my own.

Tuning In a Namespace

Didactic Manga

from Summer Term, 2026

Asylum District Dining

Here’s one of those classic food pix. Cold sesame noodles. I’d been craving em ever since Fujin went away years ago. Hard to find. Could I make em myself? No doubt. I’ve held various prep kits at HongPhat, wondering if this was my least action path (a physics allusion).

Anyway (a) Sapphire Hotel had em on the menu and (b) I’d never been to Sapphire Hotel, which is in my neighborhood, where I’ve lived for over 30 years (the longest I’ve lived in any neighborhood). Sapphire Hotel is a restaurant, not a hotel.

I was reminded of going to The Fork long ago with Kiyoshi Kuromiya. Kiyoshi was a true foodie who wrote about Philadelphia eateries and in so doing helped elevate the tastes and cuisine of that entire city (per my narrative account anyway). When we showed up at The Fork that time, the staff was well aware this was Kiyoshi Kuromiya, the one and only. Great food by the way.

I’ll link to my Dinner with Kiyoshi in the comments, a play off the movie My Dinner with Andre. He was indeed a super interesting dude, a deep intellectual not only a gourmand. He’d started studying architecture with a focus on Louis Khan but then found Buckminster Fuller and felt he’d finally hit the jackpot. They became co-conspirators. Bucky called him “adjuvant” which is closer to “catalyst” than “lieutenant”.

In those days, I represented Friends (Quakers) to American Friends Service Committee (AFSC). To earn its reputation as working on behalf of Friends, AFSC would host these annual corporation meetups where they’d impress us with all their good works, and we’d spread the word. North Pacific Yearly Meeting insisted on paying my way, not accepting AFSC money for our visits, cuz we were in a sense auditing them and so should not be like unscrupulous members of congress who gladly allow lobbyists to wine and dine them (and so so much more) in exchange for protecting their own interests.

So I’d be in Philly anyway, for the corporation meeting, and I’d pad the trip with visits to old and new haunts, including meetups with CJ and Kiyoshi.

Closing Time

Per the yin-yang way of thinking, the ending of a chapter creates the space for a next chapter to begin. Novels jump around a lot more than real life, but then real life includes reading novels. 

In this ending, or closing, in my role as a Wanderer (capital W, cuz it's a practice), I found myself up and out the door early, taking bus 75 to the Hollywood District (Portland's Hollywood, which is likewise into movies), then walking the length of East Broadway to Lloyd Center, a Portland landmark, and soon (within hours) to open to crowds for a last day as an indoor shopping mall.

However I didn’t stick around for those crowds. People I know were there for the festivities, which included lining up for candy treats and ice skating (that rink will be missed, but few were using it, and the mall had become a ghost of its former self). 

They sent me pictures, which I added to my album. But I was back in my “outstairs office” long before then, content with my almost-no-people vacant streets look. That’s a slice too, early morning hours on a Saturday when few people have any reason to be out and about.

I’m accepting of the fact that systems have more than just boundaries in the sense of inside and outside. They have boundaries, or call them lifespans, of before and after. However based on my latest observations of all the new construction going on, this will be more of a transformation than a complete replacement. 

The plan is to turn the place inside-out so it becomes less of an enclosed space and more a shared outdoor space where people also want to live. I’d say look at the Pearl District and NW Portland for a preview. That being said, I’m have no privileged access to these plans, or maybe they’re public and I simply need to look them up at the city website.

I left the bicycle in the repair shop today in preparation for a next loop.

Quadrays History

Johnny Tri Goode sent me this set of quadray coordinates for an icosahedron, which I ran through my framework to compare with my default icosahedron (cyan) from the concentric hierarchy (a matryoshka of polyhedrons).

Johnny is researching the history of Quadrays. As I was saying to fellow faculty in the faculty lounge (virtual):  

The way I see it is: Quadrays are a shelf of books in a math library or bookstore, but only a few of them bother with Synergetics. That’s a metaphor as “shelf of books” implies wood pulp, but we’re actually doing all this in the cloud without much paper.

You might be wondering "what are quadrays?". Spellcheckers complain about it (squiggly red underline) much as they complain about Synergetics. English is hostile to our curriculum in a lotta ways (we’re mostly immune to toxic aspects of English, having escaped the Anglosphere). 

In my version of the narrative, Quadrays are an escape from the linear algebra “hegemon” (spellchecker complains again), but not in such a way as to undercut LA in any way. Machine learning is all about LA and I’m one of who teach (some might say preach) ML (my company bosses were near Istanbul — not sure where exactly given I was in a cloud-based company using Google glue).

Some of us (picture a subculture) like exploring in other namespaces with an apparatus that has a lotta family resemblance to the principal Hilbert Space exploration device: the extended Euclidean version of XYZ. Quadrays operate well within the IVM, which ML (NLP) will call a “substrate” for same, per this output from Charlie (Charlie = generic chatbot).

### 3.4 Fuller's isotropic vector matrix (IVM) and the coining of "quadray" **R. Buckminster Fuller (with E. J. Applewhite), *Synergetics: Explorations in the Geometry of Thinking*, Macmillan, Vol. 1, 1975; Vol. 2, 1979.** Full text: [monoskop.org](https://monoskop.org/images/4/46/Fuller_R_Buckminster_Synergetics_1997.pdf); scan at [archive.org](https://archive.org/details/synergeticsexplo0000full_t1i6). Sections 420.01–420.02 describe the isotropic vector matrix (IVM) as "four-dimensional and 60-degree coordinated" — Fuller's own coordinate framework, based on the FCC/CCP (cubic close-packed) lattice, i.e. geometrically the same lattice underlying quadrays and (via the \(A_3^*\) permutohedral identification) GBT in three dimensions. **Fuller's IVM predates the specific "quadray" coordinate formalism by roughly six years** and is the acknowledged geometric substrate on which quadrays were later built, but Fuller's own texts describe vector *directions* and a lattice, not an explicit \((a,b,c,d)\) 4-tuple coordinate algebra with defined arithmetic.

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