Rhombus It

Well done to Ci Hui Minh Ngoc from Kelvin Grove State College Brisbane in Australia sent in some comments and strategies for this game:

1^st Move Advantage: Yes, it has the advantage as 1^st player can choose the centre point. For the two games captured shown, when computer is the first player, the computer started with centre point, though this 1^st point did not form the final Rhombus of computer. For the other game, when human is the 1^st player started with centre point, human is the winner and the Rhombus is a square which included the centre point as one of the vertices.

Strategy:
I use the properties of Rhombus:
4 sides equal parallelogram. Square is a special Rhombus with angles are 90 degree.
These are additional constraints on parallelogram. That means I must check where the new points are going to place must result “equal length of 4 sides”.
I use the strategy used in creating square, in Square It.
The diagonals of the Rhombus are perpendicular to each other, so strategically, I locate points symmetry around two perpendicular lines (visualise) to maximise the chance to create a Rhombus.

Here are pictures I took after games with computer.

1^st player is computer

1^st player is human