Choose what you measured
Use rise height + angle to find the sloped section, or sloped length + angle to find the rise. Switching modes preserves the applied geometry. Update geometry after editing; the model, layout and results then change together.
Measure along the base reference
H is the vertical difference between the two base planes. S is the sloped base-edge length between fold axes A and B. R is the horizontal projection from the starting end to B: lead-in + horizontal reach. R excludes the trailing straight section. Width and side height describe the tray cross-section.
Worked example · both solving modes
Enter H = 150 mm, angle = 30°, side height = 50 mm, tray width = 200 mm and R = 600 mm. The result is S = 300 mm, horizontal reach = 259.81 mm and lead-in = 340.19 mm. In the second mode, S = 300 mm with the same angle gives H = 150 mm and the same model.
Read the marking layout
On the original straight base, station A = lead-in and station B = lead-in + S. In the example, A = 340.19 mm and B = 640.19 mm. Station B is a developed stock position; it is not the 600 mm horizontal projection. The displayed tail is a model extension of max(150 mm, 2 × side height).
Inspect each fabrication stage
Original shows the straight stock. Mark locates A and B. Cut removes a closing V from both side walls at A and slits both walls at B while retaining the base at both axes. Form closes A and opens B so the tail is parallel to the lead-in. Select the joint views to read each cut and gap; the cover toggle reveals the opening at B.
Equations and space checks
Rise mode: S = H / sin(θ), reach = H / tan(θ). Sloped-length mode: H = S × sin(θ), reach = S × cos(θ). Lead-in = R − reach. V half-width d = side height × tan(θ / 2); full width = 2d. Angles must be 10–60°. Lead-in and slope must each allow at least d + 10 mm; insufficient space is rejected.
Method scope
This is TrayNeo’s continuous-base geometric method for C01. The inverse sloped-length mode is our defined solving option. Reference material confirms the rise/angle input and triangle results; its alternate mode and exact fabrication details remain unverified. Kerf, bend radius, material allowance and connection hardware are outside this model.
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