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Generating (almost) equally-spaced points along a parabola

10 months ago
  • #graphics programming
  • #game development
  • #mathematics
  • The article discusses generating equally-spaced points along a parabola for coin placement in an endless runner game.
  • Initial approaches of sampling at regular time or horizontal intervals resulted in uneven coin spacing.
  • A mathematical approach using arc length was considered but deemed impractical due to complexity.
  • A simplified method approximating infinitesimal changes in arc length provided a more aesthetically pleasing and performant solution.
  • The final approach balances mathematical approximation with practical implementation, improving visual consistency without heavy computation.