TY  - JOUR
AU  - Periyandy, Thundenran 
AU  - Bevis, Michael 
PY  - 2025
TI  - A Generalized Algorithm for the Gravitational Potential of a Homogeneous Cuboid
JF  - Physics International
VL  - 16
IS  - 1
DO  - 10.3844/pisp.2025.7.17
UR  - https://thescipub.com/abstract/pisp.2025.7.17
AB  - This paper presents a mathematical formulation for computing the gravitational potential of a cuboid (or right rectangular prism) with uniform density. The resulting analytical expressions are valid inside, on and outside the cuboid. The methodology systematically organizes logarithmic and arctangent terms using a hexagonal graph approach, promoting numerical stability and correct sign allocation. We provide a structured pseudocode algorithm to facilitate computational implementation, and actual codes written in Python, Matlab and Julia. We also introduce a test, that we call a Laplacian test, used to validate our algorithm and codes. Keywords: Gravitational Potential, Cuboid, Hexagonal Graph, Finite Differences, Laplacian Test.