Knots, Zhenyi

People at a coffee shopSlip knots, square knots, Windsors and all manner of Boy Scout knots are actually not knots at all. To mathematicians like Zhenyi, a ‘knot’ is a very specific phenomenon, a continuous circle, a ring with no openings. Rubber bands, wedding rings and fan belts qualify as knots. So do the tangles found in your DNA molecules.

Give a ring a half twist and you have a figure eight. Wrap it around your fingers and you create a cat’s cradle which can be changed into any number of playful knots.

Since the beginnings of Knot Theory in the 1800s, mathematicians have classified and tabulated all prime knots of up to 16 crossings and more than 6 billion other variations. The configuration on Zhenyi’s screen is the Legendrian trefoil knot.

Different-looking knots may actually be the same one in disguise. Proving or disproving ‘equivalence’ is part of what gets Zhenyi out of bed in the morning.

His work is “pure” mathematics, however much of scholarship once considered “pure” has found applications later. Non-Euclidean geometry became the foundation of Einstein’s Theory of Relativity.

Along with the elegance of the math, Zhenyi is fascinated by the labyrinthine calligraphy and knot motifs that have graced manuscripts and mosques for millennia.

He’ll soon submit his findings to pre-publication review and then beyond that to formal peer review journals. So the intense, young man who works standing upright in the windows of our coffee shop will be standing there for at least some part of another year.

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Couple Reading Newspaper In Print

People At A Coffee ShopThere was something a little ‘off’ about the pair planted in the window of the coffee shop that Sunday morning.There they were reading a newspaper, a newspaper in print mind you.

There are few souls here in the coffee shop who still cling to the news-in-print habit. For some, savoring obituaries in newsprint can be hard to give up.

When you walk the few blocks to get here, you’ll see only a single Wall Street Journal pitched on the lawn.

It’s doubtful Kristen and David will ever circle classified ads and copy phone numbers to find an apartment, or stockpile old papers to line the bottom of drawers or re-pot house plants.

They know the news in print is a day out of date – they consult their phones frequently to stay informed. But sharing a printed paper on Sunday mornings has become a personal ritual dear to them.

David stops at the newsstand (there’s still one on the next corner) to pick up the morning edition. It’s half the size it was when he was a kid. They divvy up the paper and share comments from respective sections.

It’s not just their news consumption that was ironic about them. The way they were dressed that particular Sunday morning was out-of-sync with their demographics. (And, no, they weren’t on the way to church services.)

David wore a conservative sports jacket with a laundered, button-down shirt and jeans; much like his father might have worn while dating his mother.

Kristen wore an elegant, black sweater with a flowing, pleated ochre skirt over knee-height leather boots. Jackie Bouvier comes to mind.

They shop at thrift stores, they said, proving once again that “any old thing” looks fashionable on beautiful, young people. For a brief moment of time, through osmosis, we all felt a little more glamorous than usual.

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Construction workers and cyclists group

People At A Coffee Shop

Working up a sweat on opposite sides of the street.

Temperatures weren’t a problem when the workers reported to the construction site outside the windows of our coffee shop. But the air took on moisture and reached hazardous heat levels when the cyclists arrived hours later.

Saturday morning meant something different to the two groups.

For the union crew it meant overtime pay, which would climb even higher if they worked through the solstice’s extra daylight hours. For the cyclists, mostly professionals, Saturday morning offered a few hours when they weren’t expected to be logged to the system.


Their reasons for being out in the heat were different as well. The workers were there strictly for a paycheck. The cyclists were in pursuit of fitness, athletic engagement and the company of friends.

The riders came together through a “clubhouse” sponsored by a chain of cycling-accessories stores, where it’s easy to pay $300 for cleated cycling shoes and where things are covered with logos. Their bikes, one cyclist explained, sell from anywhere between $2000 to $10,000.

The construction workers by contrast could get by investing as little as $200 on summer work clothes (steel-toed shoes included).

It’s not unusual for some cycling groups to break out into a sprint at predetermined points during a thirty mile (2-3 hour) ride, pushing themselves to challenge their personal best. The workers, on the other hand, are trained to pace themselves during long work days to avoid accidents caused by fatigue and repetition.


What the groups on the respective sides of the street had in common that sweltering morning was the search for shade, a hit of caffeine and some kind of sugar fix. But as luck would have it, there weren’t a lot of first-choice pastries left on the trays by the time they all got there.

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Marshal McDonald

The monastic mornings of one Marshal McDonald.

Marshal spends his hours at the coffee shop in the company of some of the most provocative and mischievous thinkers in and out of print. He seems to more than hold his own among them.

Here’s what he’s exploring via his latest reading list (take a deep breath):

Magister Ludi, Hermann Hesse
Perennial Philosophy, Aldous Huxley
The Square and the Tower, Niall Ferguson
Hu Hua Ching, Lao Tzu
Metapatterns, Tyler Volk
Sensing Semiosis, Floyd Merrell
Against the Tide, Roger Scruton
Call of the Tribe, Mario Varga Llosa
Porius, John Cowper Powys,
Accent on Form, L.L. Whyte
Entering Stillness, Lousi Komjathy
Consciousness and Culture, Jean Gebser
Essays by Garry Wills.
A bio of Samuel Taylor Coleridge

There’s method to Marshal’s madness. He pans for ideas, reading a chapter or two of one author and relating each to next. He maintains notes religiously and uses the word “tinkering” to help explain what he’s doing.

There is invariably a pile of books at the ready in front of him.

He’s been exploring language and linguistics, semantics and semiosis, history of religions, quantum physics and nanoscale structures, cell biology, molecular physics, human evolution, Jungian psychology, Taoism, hierarchy theory, evolution of consciousness and the psychology of mathematics/symbolism.

“In former times I read so that I could win arguments and persuade people to my point of view,” he admits. But now he wades into dense, intellectual concepts as an end in itself.

It’s taken years of brief hellos to get to know Marshal. There isn’t the slightest trace of scholarly pretense about the man.

He speaks with a disarming back-home drawl, knows how to work with his hands, and has served two enlistments as a member of the United States Navy Band. He may be the only person at our coffee shop who’s achieved the elusive Double C on the trumpet.

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Paul Rathburn

If you’re looking for an argument, grab yourself a cup of coffee and pull up a chair.

You’ll find yourself in a rag-tag debating society where arguments are floated on topics ranging from trivial to existential.

At any given table and at any spot in the windows of the coffee shop, clusters of people are exchanging opinions.

Irrefutable facts and hard data are duly respected here, of course, but a quick wit wins the day as often as not. There’s a contingent of leg-pullers, hoodwinkers and bomb throwers who keep things from getting tedious.

A guy named Paul (seated center, blue shirt) enjoys a slight advantage given that he’s dedicated years of his life to arguing criminal and civil points of law.

When a lawyer says he was ‘argumentative’ as a child, it’s probably safe to assume he was a manifest pain in the the ass – which happens to be exactly what you want from the court-appointed attorney defending your rights.

Paul’s career included investigating how police departments, prosecutors and judges met, or failed to meet, their constitutional obligations in dealing with defendants.

He litigated employee abuse, domestic violence and suits on behalf of terminally-ill disabled clients. He won receiverships against landlords who cut off heat to drive renters out of their apartments.

At a time when legislators and insurance companies were openly antagonistic toward HIV patients, Paul Rathburn was recruited by the Legal Aid Chicago’s HIV/AIDS Law Project. It took on a personal meaning when he lost his sister to AIDS in 1998

It’s a welcome change, Paul says, that the directions of peoples’ lives don’t hang on the freewheeling debates he enjoys sharing with his buddies these days.

For the modest price of a cup of coffee (decaf served until 11 a.m.) there’s a seat at the table for all comers, but don’t expect to get the last word.

At our humble coffee shop, there is no such thing as a last word.

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