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Geodesics Utilities ​

These utilities provide the math functions required to work with Geodesic maths & utilize them for different character controllers.

Sphere Maths ​

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If you wanted to see the sphere math in action, you can add the Geodesics Movement Examples sample, which includes a character controller that uses the SphereMaths!

The SphereMaths class provides a single function for moving across the surface of a sphere.

Torus Maths ​

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If you wanted to see the torus math in action, you can add the Geodesics Movement Examples sample, which includes a character controller that uses the Torus maths!

The Torus is a complex shape requiring complex maths to navigate!

Some important concepts to understand when working with a Torus are:

  • Major Radius (R): The distance from the center of the tube to the center of the torus.
  • Minor Radius (r): The radius of the tube.
  • (U, V): This becomes the X, Y position on a torus. This is represented by a Vector2 or two floats, where similar to a Vector2, can be both a position or direction.
    • An example use is TorusMaths.WorldPointToTorusUV()

Included with the math functions is a helper class Torus.cs which allows you the ability to contain the values as well as call the math functions found in TorusMaths.cs more easily (as there are provided overloads that will use Torus.cs, see TorusMaths.extensions.cs)

TorusMeshGenerator ​

torus-mesh-generator.png

You have the ability to generate a Torus shape using the TorusMeshGenerator.cs which is Editor-Only code that will create & save a torus mesh where you specify.