Integral Points

Integral points are specific points in mathematical space where all coordinates are whole numbers (integers). For example, in two dimensions, these are points like (2, -3) or (0, 0), where both values are integers. They are important in areas like number theory and geometry because they help us study shapes and solutions to equations that have only whole number solutions. Visualize integral points as the "lattice points" on a grid, where each intersection is an integral point, providing a discrete framework for analyzing continuous mathematical objects.