Cubic Profile Vessel

Create a single-piece, hollow, rotationally symmetric vessel, similar to a drinking glass but without a handle. IMPORTANT: The internal wall profile must follow this exact cubic mathematical function: r(h) = h^3/90 - h^2/5 + 0.9h + 5 Where h and r are expressed in centimeters, with 0 ≤ h ≤ 12. Convert all dimensions to millimeters for the CAD model. DESIGN REQUIREMENTS: - Internal height: 120 mm. - Internal radius: exactly 50 mm at the bottom. - Internal radius: exactly 62 mm at the top. - The internal profile must follow the cubic function exactly, including its local maximum at h = 30 mm and local minimum at h = 90 mm. - Generate the complete vessel by revolving the profile 360 degrees around its vertical axis. - Wall thickness: 3 mm, added outward from the internal profile. - Bottom thickness: 4 mm. - Flat, closed bottom. - Completely open top. - No handle, no legs, no external support, no decorative features. - Do not create a drainage hole. The 6 mm hole will be drilled manually after printing. - Maintain the exact internal geometry and dimensions. The final result must be a single watertight, manifold, 3D-printable solid. Generate an editable parametric CAD model and provide an STL export in millimeters. Do not approximate the cubic profile with a generic curved glass shape. If exact mathematical geometry cannot be generated, report this limitation rather than silently approximating it.

Parameters

Every value above is a live dimension. Open a model like this in the editor and each one becomes a slider you can drag before exporting.