vector graphics are defined mathematically

Yes, vector graphics are indeed defined mathematically. Unlike raster graphics, which are composed of a grid of pixels, vector graphics are represented using mathematical formulas that describe the shapes, lines, curves, and colors within the image.

Each element in a vector graphic is defined by its geometric properties, such as its position, size, shape, and color.

For example, a circle in a vector graphic would be represented by a mathematical equation that defines its center point, radius, and color.

This mathematical representation allows vector graphics to be infinitely scalable without losing quality. When you resize a vector graphic, the mathematical formulas are recalculated to adjust the size and shape of the elements accordingly, resulting in smooth and crisp visuals at any scale.

Vector graphics are typically created and edited using vector graphics software like Adobe Illustrator, CorelDRAW, or Inkscape, where users can manipulate shapes, lines, and colors using mathematical operations such as scaling, rotating, skewing, and more. This mathematical foundation is what gives vector graphics their power and versatility in various design applications.