Mapping rhymes with:
capping, clapping, flapping, lapping, napping, rapping, recapping, sapping, scrapping, slapping, snapping, strapping, tapping, trapping, unwrapping, wrapping, zapping
Mapping sounds like:
maven's, mavens, mbank, minivans, monophonic, moonbeams, moping, mopping, moving, muffins, mummifying