A portable mat which keeps itself clean teaches a combination of nine upper surface panels of hard rubber, EPDM, hard neoprene, a very durable bottom surface/substrate holding the mat panels, which may be the neoprene in unitary body embodiments or a separate material in other embodiments, a formula for placement of the panels upon the substrate, a specific folding sequence, and a tenth mud-flap outside of the regular 3×3 pattern of the other nine panels which completes the folding sequence with every bottom surface covered by another bottom surface and no top panel in contact with any bottom surface. A handhold at one corner and indicia on the top surface assist the user in properly folding, as do the formulaic gaps which allow tight proper folding and prevent improper folding.