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.)

Entry Maze

[Image: Via India Times].

In order to comply with a new regulation that drinking establishments must be “at least 500m away from state and national highways,” a bar in India has apparently installed “a 250m-long maze-like walkway to the entrance, theoretically making it more than 500m away from the highway.”

It is a regulatory baffler, we might say.

According to the local excise commissioner, “We do not measure the aerial distance but only the walking distance”—therefore this multiplication of space does, indeed, meet the letter of the law. Two objects standing side by side could, legally speaking, be miles apart.

It’s the architecture of compression and delay: a hundred feet hidden in ten, a short walk transformed into a labyrinth of approach and misdirection.

(Via Atlas Obscura; vaguely related: The Switching Labyrinth, The Permission We Already Have, and The Rule of Regulations).

The Switching Labyrinth

[Image: From “Labyrinths, Mazes and the Spaces Inbetween” by Sam McElhinney].

Sam McElhinney, a student at the Bartlett School of Architecture, has been building full-scale labyrinths in London and testing people’s spatial reactions to them. See photos of his constructions, below.

McElhinney explained his research to BLDGBLOG in a recent email, attaching a paper that he delivered earlier this month at a cybernetics conference in Vienna, where it was awarded best paper. Called “Labyrinths, Mazes and the Spaces Inbetween,” it describes McElhinney’s fascinating look at how people actually walk through, use, and familiarize themselves with the internal spaces of buildings, using mazes and labyrinths as his control studies.

In the process, McElhinney introduces us to movement-diagrams, Space Syntax, and other forms of architectural motion-analysis, asking: would a detailed study of user-behaviors help architects design more consistently interesting buildings, spaces that “might evoke,” he writes, “a sense of continual delight”? Pushing these questions a bit further, we might ask: should all our buildings be labyrinths?

[Images: Movement-typologies from “Labyrinths, Mazes and the Spaces Inbetween” by Sam McElhinney].

Early in the paper, McElhinney differentiates between the two types of interior experiences—between mazes and labyrinths.

A path system can be multicursal: a network of interconnecting routes, intended to disorient even the cunning. It may contain multiple branches and dead ends, specifically designed to confuse the occupant. This is a maze.

Alternatively, a path can form a single, monocursal route. Once embarked upon, this may fold, twist and turn, but will remain a constant and ultimately reach a destination; this is a labyrinth.

The experience of walking these two topologies is very different.

These basic definitions set the stage for McElhinney’s own “premise,” which is “that all space is found, experienced and inhabited in a state of ‘switching’ flux between the diametrically opposed topologies of maze and labyrinth. This offers insights into how we might evoke a sense of continual delight in the user [of the buildings that we go on to design].” Accordingly, he asks how architects might actually construct “a path that switches from a labyrinth into a maze (and vice-versa).”

How can architects design for this switch?

[Images: From “Labyrinths, Mazes and the Spaces Inbetween” by Sam McElhinney].

McElhinney’s argument segues through a discussion of Alasdair Turner’s Space Syntax investigations (and the limitations thereof). He describes how Turner put together a series of automated test-runs through which he could track the in-labyrinth behavior of various “maze-agents”; these reprogrammable “agents” would continually seek new pathways through the twisty little passages around them—a spatial syntax of forward movement—and Turner took note of the results.

Turner’s test-environments included, McElhinney explains, a maze that “was set to actively re-configure upon a door being opened, altering the maze control algorithms” behind the scenes, thus producing new route-seeking behavior in the maze-agents.

[Images: From “Labyrinths, Mazes and the Spaces Inbetween” by Sam McElhinney].

Unsatisfied with Turner’s research, however, McElhinney went on to build his own full-scale “switching labyrinth” near London’s Euston Station. Participants in this experiment “animated” McElhinney’s switching labyrinth by way of “a stepper motor and slide mechanism” that, together, were “able to periodically shift, ‘switching’ openings to offer alternative entrance and exit paths.”

The participants walked in and their routes warped the labyrinth around them.

[Image: Sam McElhinney’s “switching labyrinth,” or psycho-cybernetic human navigational testing ground, constructed near Euston Station].

After watching all this unfold, McElhinney suggested that further research along these lines could help to reveal architectural moments at which there is an “emergence of labyrinthine, or familiar, spatialities within an unknown or changing maze framework.”

There can be a place or moment within any building, in other words, at which the spatially unfamiliar will erupt—and from movement-pathway studies we can extrapolate architectural form, buildings that perfectly rest at the cognitive flipping point between maze and labyrinth, familiar and disorienting, adventurous and strange.

[Images: Sam McElhinney’s “switching labyrinth”].

The cybernetics of human memory and in-situ spatial decision-making processes provide a framework from which we can extract and assemble a new kind of architecture.

[Image: From “Labyrinths, Mazes and the Spaces Inbetween” by Sam McElhinney].

How we move through coiled, labyrinthine environments can be studied for insights into human navigation, physiology, and more.

[Image: From “Labyrinths, Mazes and the Spaces Inbetween” by Sam McElhinney].

McElhinney sent over a huge range of maze and labyrinth precedents that served as part of his research; some images from that research appear below.

[Images: Maze-studies from “Labyrinths, Mazes and the Spaces Inbetween” by Sam McElhinney].

It’s fascinating research, and I would love to see it scaled way, way up, beyond a mere test-maze in a warehouse into something both multileveled and city-sized.