Here are the rules as explained by Boardspace

Moving:

• White moves first.
• Pieces are moved by sliding one space along one of the the lines.
• Note that some points lie on diagonal lines, while others have only horizontal and vertical directions.

Capturing:

• You can capture a line of your opponent's pieces by approach by moving toward them into the adjacent space, or by withdrawal by starting in the adjacent space and moving directly away from your opponent's piece. In some positions, you could capture either way, and you must choose one or the other.

Each Turn:

• Consists of either a single, non-capturing move, or a sequence of capturing moves.
• If any capturing moves are possible anywhere on the board, then a capturing move must be made.
• If multiple captures are possible, you can choose which to do.
• Subsequent captures on the same turn are optional.
• Second and subsequent captures in the same turn are subject to some restrictions:
• You must keep moving the same piece.
• You cannot return to any space twice.
• You can't move in the same direction twice in a row.

My Edits

My version has some slight modifications to these rules.

• Subsequent captures on the same turn are not optional, they are required.
• You CAN move in the same direction twice in a row