  In this paper, we present a mathematical model for the angular projection of
a rectangular arrangement of points in a grid. This simple, yet interesting
problem, has both a scholarly value and applications for data extraction
techniques to study the physics of various systems. Our work can interest
undergraduate students to understand subtle points in the angular projection of
a grid and describes various quantities of interest in the projection with
completeness and sufficient rigour. We show that for certain angular ranges,
the projection has non-distinctness, and calculate the details of such angles,
and correspondingly, the number of distinct points and the total projected
length. We focus on interesting trends obtained for the projected length of the
grid elements and present a simple application of the model to determine the
geometry of an unknown grid whose spatial extensions are known, using
measurement of the grid projection at two angles only. Towards the end, our
model is shown to have potential applications in various branches of physical
sciences including crystallography, astrophysics and bulk properties of
materials.
