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2026

Tuck-Folding: A Computational Method for the Flattening and Fabrication of Compression-Dominant Shell Structures

Computationally designed tucks encode shell curvature in flat sheet patterns and fabric-hinged panels.

Research question
How can local folds and hinge arrangements reconstruct a compression-dominant shell from flat sheets?
My role
Coauthor of the computational folding study with Yi Yang and Chun Zhou.

A 1:10 paper shell and 1:25 PLA-on-fabric prototype demonstrate reconstruction. Full-scale plywood formwork and concrete casting remain proposed. View evidence ↓

Thin sheet: reconstructing the shell in paper

A 1:10 Bristol-paper model, measuring 650 × 650 mm, assembles the shell from 21 pieces. Laser-cut dashed lines allow both mountain and valley folds. Gluing the tucks fixes their 180° creases and joins the pieces into the slab.

Comparison with the digital target shows qualitative geometric agreement. Thin or long, narrow tucks provide weaker control of the folded shape; the isolated model also requires horizontal support at its outer boundary. The glued assembly demonstrates reconstruction but cannot be unfolded for reuse.

Thick sheet: beveled panels and fabric hinges

Finite material thickness introduces collisions at a fold. Beveled panel edges encode the required angles, while a continuous fabric layer acts as a hinge. A 1:25 prototype uses PLA printed directly onto gold tulle mesh, divided into 13 pieces. A 0.1 mm offset on each side of the 180° creases prevents adjacent faces from fusing during printing.

The printed components fold into the target curvature and can be unfolded without damaging the fabric hinges. This prototype demonstrates thick-sheet geometry and reusable folding; it was not used to cast concrete.

From force diagrams to foldable geometry

PolyFrame 2 generates a planar-faced shell through reciprocal force and form diagrams. A modular slab is organized into a column, canopy, and connecting arches. Subdivision controls the panel network and curvature: the column and canopy regions are synclastic, while the arches are anticlastic. These differences determine where the shell is split before flattening.

Tucks compensate for flattening

Unfolding a doubly curved panel network creates gaps, overlaps, and rotational mismatch. A tuck inserts a local fold region that absorbs this mismatch when the sheet is refolded. Its central crease closes through 180°, while neighboring creases recover the target surface angles.

Tuck widths are coupled by closure relationships at shared vertices. Compression-force data guides their distribution within limits set by material thickness, fold collisions, machine-bed dimensions, and assembly. Splitting along the anticlastic arch regions separates demanding curvature into manageable pieces.

A proposed route to concrete shell construction

A 10 × 5 m outdoor gallery pavilion applies the system as a modular shell canopy. The proposed construction sequence combines CNC-cut plywood ribs with fabric membranes, transports the components flat, and folds and assembles them for casting. Repeated modules would provide neighboring support; a standalone canopy requires lateral bracing.

Full-scale plywood fabrication and concrete casting remain future work. Geometric tolerances, stiffness, casting pressure, waterproofing, demolding, and hinge durability require quantitative testing.

Related publications

All publications →
  • Accepted for ACADIA 2026 · Conference in October 2026

    Tuck-Folding: A Computational Method for the Flattening and Fabrication of Compression-Dominant Shell Structures

    Research manuscript · 2026