I need to have a piece of repi-carpet sitting over the UTH in my 10gal in order to dissipate the temperature to the perfect (85.2F F)... Without it, my little hatchling, who is fond of squirming under the substrate, can burn himself by sitting directly on the glass.

Is it safe to use a bit of tape to hold the repi-carpet in place so he doesn't wiggle his way under it too? The borders of the carpet are about 1'' wider than the UTH, so the tape isn't in direct contact with the hot part of the glass.