This repository contains an OpenSCAD file for illustrating the disk method and washer method for calculating volumes of revolution, commonly taught in calculus courses.

• The solid is generated by revolving a region about the y-axis. The region is determined by:
  • x = f(y) defines the outer boundary of the region.
  • x = g(y) defines the inner boundary of the region.
  • y = a defines the bottom of the region.
  • y = b defines the top of the region.
• If you set g(y) = 0, the model automatically switches to the disk method (solid without holes).

• Disks model (preview STL file)
• Solid for the disks model (preview STL file)
• Washers model (preview STL file)
• Solid for the washers model (preview STL file)

• Open the .scad file in OpenSCAD.
• Customize parameters:
  • n: Number of subintervals
  • sample_type: "bottom", "mid", or "top" sampling for the approximation
  • show_solid: Toggle between discrete stacked disks/washers or a full continuous solid
  • printedheight: Set the final height of the printed object in millimeters
• Render the model.
• Export the model to STL for 3D printing, or use for visualization.

• DiskAndWashers.scad — Main customizable OpenSCAD model with disk, washer, and full solid modes.
• DisksSolid.stl — STL file of a full solid of revolution for the disk model (smooth continuous surface).
• Disks.stl — STL file showing the discrete disk approximation (Riemann-style stacking).
• WashersSolid.stl — STL file of a full solid of revolution for the washers model (smooth continuous surface).
• Washers.stl — STL file showing the discrete washer approximation (Riemann-style stacking).

This project is licensed under the Creative Commons Attribution-NonCommercial 4.0 International License.
Feel free to use, modify, and share for educational or personal use, with attribution. Commercial use is not permitted.