Passageway
Design 2022

Passageway

A robotically-assembled architectural space generated from a two-rule shape grammar, where stacked foam cubes form radially curving cantilevered walls.

Intro to Architectural Robotics — MIT Architecture (IAP)

Passageway was developed during Intro to Architectural Robotics, a workshop at MIT Architecture that explores robotic fabrication through George Stiny's shape grammar formalism — a rule-based design schema. Working with a KUKA robotic arm and two-inch foam cubes, the project translates a simple rule-based design language into a robotically-assembled architectural structure.

Shape Grammar Rules

The design comprises two simple rules. The first rule places a cube parallel to another cube, while the second rule stacks a cube on top of another cube at an acute angle. From this minimal vocabulary, an entire language of structural forms emerges.

Shape grammar rule set showing addition, rotative addition, and design generation in 2D and 3D
Rule 1 (addition) and Rule 2 (rotative addition), and the design generation sequence in 2D and 3D

A Radially Curving Cantilever

When the rules combine in the sequence 111211211211 — where 1 denotes the application of rule one and 2 denotes rule two — they create a cantilevered wall that radially curves. When a designer places two of these walls next to each other, an architectural space appears. A 2 mm gap between each cube works around the tolerances inherent to robotic assembly.

Axonometric diagrams of the cantilevered wall, with arrows indicating cube placement and rotation
Two walls combine into a passageway; arrows trace the parallel and angled cube placements

Physical-to-Digital-to-Robotic

The chief challenge in the robotic execution was designing the proper rotation angle employed in rule two. There is a direct relationship between the length of the wall and the rotational angle: a smaller angle creates a wall that spans longer without failing structurally, while a larger angle creates a shorter structure with more rotation and a more dynamic overhang.

Iterating through the physical-to-digital-to-robotic process, I found the proper rotation angle for the design while negotiating the volatile forces caused by the cantilever. Overcoming the issues of cantilever design, spatial-relationship tolerances, and material inaccuracies, the process produces a beautiful architectural space.

KUKA robotic arm assembling the foam-cube structure
Suction-tool pick-and-place
KUKA robotic arm beside the completed cantilevered foam structure
Cantilever rising from the base course
Detail of the finished passageway: two cantilevered foam-cube walls forming a central opening
Two radially curving walls meet to enclose an architectural space