If you don't need optical clarity, acrylic and many other plastics are very easy to heat form. For something that size, I'd think of a cardboard box oven with a heat gun, and a crude form covered with a few layers of soft cloth. Also, oven mitts.
However, to keep the lights visible from both sides, it might be easier and neater to just extend the electrics to another set on the back of the box, selected for the shape wanted.
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There is no excuse for a land vehicle to weigh more than its average payload.
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