Run el-wire around the edges and you’d have the effect you’re looking for. Easy peasy. Adafruit sells it by the foot in a variety of colors. You could then do a foil tape on top of it so the light only goes down into the acrylic.
Now I’m excited…very good idea! combine the el-wire with Tom’s glow in the dark acrylic and you have something that could scare the bageebers out of the nieces and nephews Especially if I set them up with a story about how he only glows when he’s hungry…