Geometry in 2D space

To start, investigate the three basic integer based geometry classes found in java.awt; namely Point, Polygon and Rectangle. Construct an object of each, and use it to make the corresponding figure on your screen.

BasicTest.java

Now get ready to implement your own shape; a triangle. First, decide upon the internal coordinate representation of the three points. You might choose to use Points, a Polygon, both or some other class or structure. As constructors you might include integers, Points or a Polygon as well. Finally, include a method draw( Graphics g ) that will draw your Triangle using the specified Graphics object.

Triangle.java

To enhance your Triangle class, you may let it implement the Shape interface found in java.awt.

Hint: Remember, that the Polygon class already implements this interface.

Triangle.java

Finally, this week, let's do some arithmetics. When viewing the Point class as an Vector in 2D space, there are a few methods that could be added: Calculating the length of the Vector, normalizing it down to length 1, scaling the Vector, or adding another Vector (like translate).

Hint: Some of these operations require decimal precision, so you should consider switching to the Point2D.Double class of java.awt.geom, or implementing your own from scratch.

Vector.java