Drawing 3D Orthographic On Screen

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so for the project I'm working on, I have a Cube class that saves the vertices of a cube. It saves the X, Y, and Z values. I need a way to draw these points on a 2D screen. (In terms of X and Y) orthographically. I've looked at Wikipedia's page about 3D projections but was left confused. Any help would be greatly appreciated.

Note: I'm doing this I'm Java but could relatively easily transfer source code from other languages.

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