The document discusses various applications and techniques for laser cutting, including: profiling flat sheets for assembly into 3D objects; cutting fabrics for fashion; creating complex geometries by combining perpendicular or radial sections; multilayer cutting for continuous 3D forms; wedging and assembling cut pieces into boxes or articulated mechanisms; producing foldable or flexible pieces; and engraving materials like wood, plexiglass and metal. Key advantages of laser cutting include high precision, clean edges and the ability to cut a variety of materials.