C29 · Horizontal tee or cross · three or four ports

Measure the main run and branches

Main and branch widths are measured across the base. Lead and tail run from the branch center along the main tray. Branch length runs from the main-side-wall intersection at the branch center to the outlet. All walls share the entered height. The main wall is cut away across the full branch opening; the top remains open. Separate panels are joined at butt seams, not folded from a single tray.

The branch opening is B / sin β along the main wall. End regions and branch length must leave at least 10 mm beyond the cut envelope. C29 selects three or four ports; opposite branches share the same dimensions.

How the flat patterns are calculated

Opening O = B / sin β; each branch end setback is ±(B / 2) cot β. The main wall is removed between these intersections. All floor and wall panels are unfolded by rigid planar coordinates; net area is the sum of their actual polygon areas.

Each four-corner panel is unfolded by an isometry: all four edges and both diagonals match the 3D panel. The assembly animation rotates each panel rigidly about a reference edge. It does not interpolate or stretch the sheet.

Default example

W 200 mm · B 150 mm · H 50 mm · 400 + 400 mm · 11 panels True face height: 200.00 mm / 50.00 mm / 50.00 mm / 150.00 mm / 50.00 mm / 50.00 mm / 50.00 mm / 50.00 mm / 150.00 mm / 50.00 mm / 50.00 mm.

Fabrication and assembly method

1. Inspect separate panel blanks for the open-top junction; this is not one continuous tray.
2. Mark the true panel boundaries and the opening in each attaching main side wall.
3. Cut the panels and remove the main-wall opening; no wall remains across a branch entrance.
4. Assemble the floor and side panels and join their butt seams. No retained material hinge or fastening detail is implied.

Ideal sharp, zero-thickness panel geometry. Panel dimensions exclude kerf, bend allowance, seams, overlap tabs, fasteners and the openings cut in the parent tray. The assembly is a separate-panel method; confirm the actual joining detail.

Independent TrayNeo panel-development method. Reference-product correspondence remains under review.

Geometry references

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