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Acrylic
Cast acrylic and extruded acrylic will produce different results. Figures listed below are for extruded acrylic, which is more common and less expensive. If you aren't sure if your acrylic is extruded or cast, it is most likely extruded.
3 mm / 0.11" clear
Power: 3.0
Feedrate: 70 mm/min
3 mm / 0.11" opaque
Power: 3.0
Feedrate: 70 mm/min
Cardboard
3 mm / 0.11" corrugated
Power: 1.0
Feedrate: 200 mm/min
Foam
Foams have a much higher tendency to melt and warp from the heat byproduct of the laser, so a higher power setting and faster feedrate is ideal to produce clean cuts all the way through the material.
1 mm / 0.4" craft foam
Power: ?
Feedrate: ?
6 mm / 0.23" EVA foam
Power: 5.0
Feedrate: 600 mm/min