Measurement setup
Select the fold plane and direction explicitly. Horizontal cuts use tray width, while vertical cuts use wall height. Lead and tail use the retained-edge convention shown in the marking diagram. The general solver accepts 1–12 equal folds with a total angle; the simple solver uses one fold. The paired method solves its middle axis spacing from the measured 45° middle projection, and lets you choose a 90° elbow or a reversing offset. These are independently defined TrayNeo solving modes; the original reference-product mapping is unverified.
Geometry and cut equations
Full notch = 2 × span × tan(|turn| / 2); stock = lead + tail.
For each closing joint, d = span × tan(|α| / 2), and the full V opening is 2d. Span is tray width for horizontal cuts and wall height for vertical cuts. Downward vertical joints open the side-wall slit instead; their formed edge gap is 2H × sin(|α| / 2).
Every segment must contain its adjacent closing-notch setbacks plus a 10 mm margin. Impossible or overlapping layouts are rejected.
Default numerical example
W = 200 mm · H = 50 mm · Straight stock length = 700.00 mm. Stock station: 350.00 mm. θ: 45.00°.
Inspect all four stages
- Inspect the uncut straight channel.
- Mark every fold axis and its side-wall or base cut. Green lines show retained fold connections.
- Remove amber closing wedges. Opening joints are side-wall slits. Keep the indicated fold connections.
- Fold about every retained axis. Purple covers identify opening regions; they do not specify hardware.
Scope and method identity
This is a separately implemented TrayNeo method for the numbered entry. Exact correspondence with the reference product remains under review.
Ideal zero-radius geometry. Cut envelopes, retained folds and opening covers are shown explicitly; kerf, rolled lips, thickness allowances, cable clearance, springback and connection hardware are not specified.