ONE SQUARE. SOMETHING YOU RECOGNIZE.

A little tray.
Every fold connected.

Lift four walls. Tuck four corners. Watch a flat square become a tray.
Scrub the motion, rotate the view, or take the crease pattern with you.

Square-paper tray
Original construction · no AI calls

KEEPSAKE TRAY / REFERENCE MODELDrag to orbit · scroll to zoom · all 13 panels remain present
Finished tray · 100%
Flat squareFinished tray

BASE—
CURRENT WALL HEIGHT—
WALL ANGLE—
GEOMETRYChecking…

THE SAME SQUARE, ON PAPER

Take the pattern with you

One square sheet. No internal cuts or glue.

SVG fits A4 portrait at actual size, with a 20 mm scale check. FOLD contains the flat pattern and current 3D pose. These are geometric references, not step-by-step folding instructions.

A MODEL-SPECIFIC PATH

Rigid panels. Real hinges.

A square base stays still. Four walls rotate upward. Eight triangular panels form the corner gussets, preserving every edge and panel area along the entire motion. The camera scale stays fixed while you fold.

Inspect the geometry checks
Largest panel-length error
—
Largest planarity error
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Largest panel-area error
—
Shared-edge topology
—

An analytic separation argument covers the continuous supported path. At 100%, two panels in each corner touch as intended double layers; adjacent wall edges meet. This construction-specific check is not a general origami validator.

Geometry, provenance & limits →
A REFERENCE, READY TO EXPLORE

What the preview proves

You can inspect a connected square becoming an identifiable open tray through an exact zero-thickness geometric path. Every panel remains present, without stretching or shape morphing.

This is an original implementation, not a claim of a historically new fold. It is not a traditional locking masu box. Finite paper thickness, self-locking, hand-folding steps, load capacity, and physical results have not been tested.

Open the separate AI design lab →