PlainswalkLandwalk is a generic term that appears within an object’s rules text as “[type]walk,” where [type] is usually a land type, but it can also be the card type land plus any combination of land types, card types, and/or supertypes.
Landwalk is an evasion ability.
A creature with landwalk can’t be blocked as long as the defending player controls at least one land with the specified land type (as in “islandwalk”), with the specified type or supertype (as in “artifact landwalk”), without the specified type or supertype (as in “nonbasic landwalk”), or with both the specified type or supertype and the specified subtype (as in “snow swampwalk”). (See rule 509, “Declare Blockers Step.”)
Landwalk abilities don’t “cancel” one another.
Multiple instances of the same kind of landwalk on the same creature are redundant. (CR 702.14)
Planeswalkerwalk (This creature can't be blocked as long as defending player controls a planeswalker.)
Whenever Plain Walker deals combat damage to a player or planeswalker,
planeswalkA player may planeswalk only during a Planechase game. Only the planar controller may planeswalk. See rule 901, “Planechase.”
To planeswalk is to put each face-up plane card and phenomenon card on the bottom of its owner’s planar deck face down, then move the top card of your planar deck off that planar deck and turn it face up.
A player may planeswalk as the result of the “planeswalking ability” (see rule 901.8), because the owner of a face-up plane card or phenomenon card leaves the game (see rule 901.10), or because a phenomenon’s triggered ability leaves the stack (see rule 704.6f). Abilities may also instruct a player to planeswalk.
The plane card that’s turned face up is the plane the player planeswalks to. The plane card that’s turned face down or that leaves the game is the plane the player planeswalks away from. The same is true with respect to phenomena. (CR 701.31). (If you're playing Planechase, proceed to the next plane.)