Category: Models

  • Pythagorean Roulette

    Pythagorean Roulette

    Last time we derived the gravity-based equation that powers interstellar travel in gr4Xity. The “jump distance” to another star is determined by a square root function that captures diminishing returns. Square-root distance functions arise in many different contexts. In this article, we’ll apply another example that’s critical to crafting variation and risk in the world…

  • The Force of Gravity

    The Force of Gravity

    Newton’s law of universal gravitation describes the force of attraction between two bodies at non-relativistic velocities: proportional to each mass relative to the distance each way. In gr4Xity, ships travel to other star systems by “jumping” into the target star’s “gravity well”. Plotting a course requires sufficient gravitational attraction between the ship and destination star…