Yes, I thought of a simple sheet of plexiglass or Makrolon or something, too.
Someone here suggested earlier to have sidescreens without the window to get Aero-style doors. This could be done with very simple plexiglass pieces, too. I havenīt tried because I would be very concerned in terms of safety. Such a thin and stiff sheet of material close to the neck could in a side impact easily make you lose your head. And beware of plexiglass, that breaks into sharp bits. Use something less brittle like Lexan if you do experiments.
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