14. Additive Manufacturing (3D Printing & Toolpath Slicing)

Additive manufacturing translates abstract 3D solid geometry into physical reality layer by layer. This chapter explores the algorithmic foundations of slicing planes, adaptive cusp heights, triply periodic minimal surface (TPMS) infills, continuous toolpaths, and tree supports.

1. Planar Slicing & Layering — Interactive geometrical visualization of mesh contour slicing and adaptive layer heights.
2. Infill & Toolpaths — Interactive geometrical visualization of TPMS gyroid lattices and continuous space-filling toolpaths.
3. Overhangs & Supports — Interactive geometrical visualization of critical angle detection and tree support scaffolding.