Chapter 14. Translation and Rotation (in 3D!)


“What is the Matrix?”

 -- Neo

In this chapter:

  • 2D and 3D translation.

  • Using P3D and OPENGL.

  • Vertex shapes.

  • 2D and 3D rotation.

  • Saving the transformation state in the stack: pushMatrix() and popMatrix().

The Z-Axis

As we have seen throughout this book, pixels in a two-dimensional window are described using Cartesian coordinates: an X (horizontal) and a Y (vertical) point. This concept dates all the way back to Chapter 1, when we began thinking of the screen as a digital piece of graph paper.

In three-dimensional space (such as the actual, real-world space where you are reading this book), a third axis (commonly referred to as the Z -axis) refers to the depth of any given point. In a Processing sketch’s window, ...

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