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• Planets
  

  Just as with the problem of map projection, creating planets shows a fundamental fact with voxels: As they are regular grids, shaping the actual grid into a planet, without distortions or discontinuities, is mathematically impossible. As such, we need to employ different methods depending on what we ultimately want to achieve.

• 3D Raycasting
  

  The Digital Differential Analyzer (DDA) algorithm, adapted to 3D, is exactly the thing one needs to travel along a line (or a ray) through a grid of voxels.

• Types of Noise
  

  Types of noise commonly used for procedural generation.

• Coordinate Systems
  

  When dealing with voxels (and math in three-dimensional space in general), it is extremely important to get your coordinate systems and the conversions between them right. Even slightly wrong conversions can (and will) lead to massive headaches and horrible debugging sessions.

• Noise
  

  Fields of pseudorandom numbers.