Journey of a Single Line

[Image: A1 (1930) by Wacław Szpakowski, via Miguel Abreu Gallery].

I meant to write about these way back when they first appeared in the Paris Review, but alas. In any case, Wacław Szpakowski was a trained architect who dedicated an inordinate amount of his own free time to hand-drawing elaborate mazes and patterns using only a single line.

[Image: B9 (1926) by Wacław Szpakowski, via Miguel Abreu Gallery].

“When he was eighty-five,” Sarah Cowan writes in a review of a show mounted by the Miguel Abreu Gallery in New York City, “Wacław Szpakowski wrote a treatise for a lifetime project that no one had known about. Titled ‘Rhythmical Lines,’ it describes a series of labyrinthine geometrical abstractions, each one produced from a single continuous line. He’d begun these drawings around 1900, when he was just seventeen—what started as sketches he then formalized, compiled, and made ever more intricate over the course of his life.”

[Image: F3 (1925) by Wacław Szpakowski, via Miguel Abreu Gallery].

Szpakowski’s notebooks are, according to Cowan, “a twentieth-century version of Leonardo da Vinci’s, with enthusiastic scribblings next to observations of architecture and diagrams of natural phenomena, from ocean currents to fir-tree needles.”

[Image: C4 (1924) by Wacław Szpakowski, via Miguel Abreu Gallery].

It’s hard to exaggerate how interesting these are from an architectural point of view: labyrinths of a single line, suggesting possibilities for infinite complexity along single paths of circulation. Room after room after room, laid out along a sufficiently complex corridor, becomes a building as large as a city.

[Image: F13 (1926) by Wacław Szpakowski, via Miguel Abreu Gallery].

I’m reminded of a recent project by Andrew Kudless of Matsys called “The Walled City (10-Mile Version),” which also featured a single megastructure made from one continuous 10-mile wall.

[Image: “The Walled City (10-Mile Version)” by Andrew Kudless/Matsys].

But the appeal of Szpakowski’s work would appear to extend well beyond the architectural. At times they resemble textiles, weaving diagrams, computer circuity, and even Arts & Crafts ornamentation, like 19th-century wallpapers designed for an era of retro-computational aesthetics.

[Images: (top to bottom) D4 (1925), D5 (1926), and D7 (1928) by Wacław Szpakowski, via Miguel Abreu Gallery].

Woodworking templates, patent drawings for fluidic calculators, elaborate game boards—the list of associations goes on and on.

[Image: B10 (ca. 1930) by Wacław Szpakowski, via Miguel Abreu Gallery].

For more, check out the write-up in the Paris Review,”>Paris Review and be sure to click through the various images over at the Miguel Abreu Gallery.

[Image: F1 (1925-1926) by Wacław Szpakowski, via Miguel Abreu Gallery].

(Originally spotted via Paul Prudence. Also of interest: The Switching Labyrinth.)

Arch History

[Image: Spiral Arches by Daydreamers Design].

A project I noted while serving as one of many, many design jurors this year for the Architizer A+Awards used a spiraling outdoor corridor of arches in the United Arab Emirates to tell the history of the Islamic arch.

[Image: Spiral Arches by Daydreamers Design].

The Hong Kong-based team behind the project, Daydreamers Design, explained that they organized the arches into ten typologies, then arrayed those into a much larger sequence, “in historical order.”

[Images: Spiral Arches by Daydreamers Design].

In other words, as you meander down the hallway, you also move forward—or backward—through arch history.

[Images: Spiral Arches by Daydreamers Design].

For what it’s worth, I’d love to see something similar done with Western design orders, or even cathedral buttresses.

In any case, the project did not win any A+Awards, but it remains noteworthy, nonetheless. Watch a short video of the project, below.

Infrastructural Sine Wave

[Image: As if a lighter-than-air geometric fluid became temporarily frozen between two gateways of masonry, it’s just a bridge over the Norderelbe in Hamburg, Germany; photograph by Georg Koppmann (1888) from the collection of the Hamburg Museum, via Hamburger Architektur Sommer 2015, as spotted by Wassmann Foundation and Darran Anderson].

Floored

[Image: Photo courtesy Javier de Riba].

Catalan artist Javier de Riba, who paints often quite large geometric patterns reminiscent of tiles onto the floors of abandoned buildings, has produced a new installation inside a derelict Portuguese hotel.

[Image: Photo courtesy Javier de Riba].

The hotel, de Riba explains, was “open only for one year. It was a foreign investment that didn’t succeed and was unable to pay the suppliers. Soon after the closing [it] became empty and now there’s only the skeleton left.”

An accompanying video documents de Riba’s actual painting process, as you can see below.

I have to admit, I find these installations much more visually compelling than many other examples of graffiti, and I would love to see this sort of thing produced elsewhere.

[Image: Photo courtesy Javier de Riba].

Even de Riba’s deliberately fragmentary works are quite evocative and go a very long way toward transforming the ambience of otherwise empty architectural spaces, both indoors and out.

[Image: Photo courtesy Javier de Riba].

(Via designboom; see also Colossal).

Spatial Gameplay in Full-Court 3D

Japan is distinguishing its bid to host the 2022 World Cup with a plan to broadcast the entire thing as a life-size hologram.

[Image: Courtesy of the Japan Football Association/CNN].

“Japanese organizers say each game will be filmed by 200 high definition cameras, which will use ‘freeviewpoint’ technology to allow fans to see the action unfold from a player’s eye view—the kind of images until now only seen in video games,” CNN reports.

[Image: Courtesy of the Japan Football Association/CNN].

British football theorist Jonathan Wilson puts an interestingly spatial spin on the idea: “Speaking as a tactics geek,” he said to CNN, “the problem watching games on television is it’s very hard to see the shape of the teams, so if you’re trying to assess the way the game’s going, if you’re trying to assess the space, how a team’s shape’s doing and their defense and organization, then this will clearly be beneficial.”

Watching a sport becomes a new form of spatial immersion into strategic game geometries.

[Image: Courtesy of the Japan Football Association/CNN].

Of course, there’s open disbelief that Japan can actually deliver on this promise—it is proposing something based on technology that does not quite exist yet, on the optimistic assumption that all technical problems will be worked out in 12 years’ time.

But the idea of real-time, life-size event-holograms being beamed around the world as a spatial replacement for TV imagery is stunning.

(Thanks to Judson Hornfeck for the tip!)

An edge over which it is impossible to look

[Image: The Ladybower bellmouth at full drain, photographed by Flickr user Serigrapher].

Nearly half a year ago, a reader emailed with a link to a paper by Andrew Crompton, called “Three Doors to Other Worlds” (download the PDF). While the entirety of the paper is worth reading, I want to highlight a specific moment, wherein Crompton introduces us to the colossal western bellmouth drain of the Ladybower reservoir in Derbyshire, England.

His description of this “inverted infrastructural monument,” as InfraNet Lab described it in their own post about Crompton’s paper—adding that spillways like this “maintain two states: (1) in use they disappear and are minimally obscured by flowing water, (2) not in use they are sculptural oddities hovering ambiguously above the water line”—is spine-tingling.

[Image: The Ladybower bellmouth, photographed by John Fielding, via Geograph].

“What is down that hole is a deep mystery,” Crompton begins, and the ensuing passage deserves quoting in full:

Not even Google Earth can help you since its depths are in shadow when photographed from above. To see for yourself means going down the steps as far as you dare and then leaning out to take a look. Before attempting a descent, you might think it prudent to walk around the hole looking for the easiest way down. The search will reveal that the workmanship is superb and that there is no weakness to exploit, nowhere to tie a rope and not so much as a pebble to throw down the hole unless you brought it with you in the boat. The steps of this circular waterfall are all eighteen inches high. This is an awkward height to descend, and most people, one imagines, would soon turn their back on the hole and face the stone like a climber. How far would you be willing to go before the steps became too small to continue? With proper boots, it is possible to stand on a sharp edge as narrow as a quarter of an inch wide; in such a position, you will risk your life twisting your cheek away from the stone to look downward because that movement will shift your center of gravity from a position above your feet, causing you to pivot away from the wall with only friction at your fingertips to hold you in place. Sooner or later, either your nerves or your grip will fail while diminishing steps accumulate below preventing a vertical view. In short, as if you were performing a ritual, this structure will first make you walk in circles, then make you turn your back on the thing you fear, then give you a severe fright, and then deny you the answer to a question any bird could solve in a moment. When you do fall, you will hit the sides before hitting the bottom. Death with time to think about it arriving awaits anyone who peers too far into that hole.

“What we have here,” he adds, “is a geometrical oddity: an edge over which it is impossible to look. Because you can see the endless walls of the abyss both below you and facing you, nothing is hidden except what is down the hole. Standing on the rim, you are very close to a mystery: a space receiving the light of the sun into which we cannot see.”

[Image: The Ladybower bellmouth, photographed by Peter Hanna, from his trip through the Peak District].

Crompton goes on to cite H.P. Lovecraft, the travels of Christopher Columbus, and more; again, it’s worth the read (PDF). But that infinitely alluring blackness—and the tiny steps that lead down into it, and the abyssal impulse to see how far we’re willing to go—is a hard thing to get out of my mind.

(Huge thanks to Kristof Hanzlik for the tip!)