Player vs Player

Within the Monomono (PvP) Environment
Currently the Monomono environment (top left corner of the star map) is open for exploration, however it is not yet possible to play PvP here.

The Battle Matcher will normally be sitting in the blue lit chair in the upper left corner of the screenshot. However, you will not be able to be matched against random people in the current beta release. You can however choose to play directly against your friends. To play against a friend, you must both stand on an interconnected platform, lit with an 'X'. When random matching is introduced in a later release, you can stand within one of the green tubes within the hexagons to be randomly matched against another player.

There is an internal PvP chat where you can leave a message for your opponent at the end of your game, or even during the match if you choose to take the time in between turns.

Spectators can sit on the ship in the lower left corner of the screen (cut off in the displayed screenshot).

Playing PvP on Planets
When you see another player exploring the same planet as yourself, you can challenge them to a PvP match.

Click on the player you wish to challenge. A pop up titled "Battle" will appear with a picture of their avatar and a button to press if you're sure you wish to play them. Each battle will cost you 5 energy and currently there are no prizes for winning. The only information you will know about the player that you have challenged is their username, if you happened to notice it when you clicked on them. For your opponent, they have even less information. They will see a screen similar to that shown below, indicating that a "Challenger is Ready". They will have an option to Accept or Decline the battle. Note that some versions of the beta release currently do not let a player decline an incoming PvP battle. If this happens to you, and you really don't want to play them, you will need to close the game and lose all progress. If that other player agrees to battle with you, you will see a battle announcement screen with both usernames and avatars shown. The PvP battle will then begin. As your team will be facing 6 opponent monsters, it is important to match 5 gems of an element that matches one (or more) of your monsters so that the attack is sent to every opponent monster. (Matching 3 gems will only send the attack to one opponent monster). For more information on gemming, please refer to this puzzleboard post. When either your team or your opponents team has been defeated, a result screen will appear. Click on the "Done" button to return to exploring the planet that you are on.