Looks a interesting game, have fun with it.
I don't know alot about the many types of plastics and have only used 2 types so but doubt it would be regularly acrylic as it cracks easily and the other is polycarbonate as it can with stand very hard knocks etc. Just be careful what you clean it with as the material can permanently cloud up - stick to water and micro fibre cloth. Laser cutting polycarbonate is dangerous because of the fumes it releases so best to cnc router cut.