Fading Coder

System Architecture and Objectives The forestry system requires three core behaviors: probabilistic fruit generation, state-based health degradation, and directional tool collision detection. Trees spawn produce at predefined relative coordinates, lose durability when struck by an equipped axe, and...

Plane Representation Methods A plane can be represented in two equivalent forms: the vector-based point-normal form and the scalar plane equation. Point-Normal Form $$\mathbf{n} \cdot (\mathbf{p} - \mathbf{p_0}) = 0$$ Scalar Form $$Ax + By + Cz + D = 0$$ The conversion between these forms follows: $...