generativeart is an R package for creating algorithmic art by computing the positions of many thousands of points according to user-defined mathematical formulas with randomized parameters. Each render uses a seed to introduce controlled randomness, so every image is unique while remaining reproducible when the same seed and formula are reused. The package logs the seed, formula, and file name to a CSV, which makes it easy to catalog outputs, re-generate favorites, and track experiments. A small helper sets up a simple directory scaffold for “everything” versus “handpicked” images and a logfile folder, encouraging a tidy, iterative workflow. Rendering is performed with ggplot2, and users can select coordinate systems (Cartesian or polar), foreground/background colors, number of images to generate, and output format (PNG by default with other devices available).