-------------------------ʀᴏᴜʟᴇᴛᴛᴇ ᴄᴜʀᴠᴇ--------------------------- A roulette curve pattern is a captivating geometric design formed by the path of a specific point attached to one curve as it rolls without slipping along another fixed curve. Depending on the shapes of the rolling and fixed curves, this mathematical process generates iconic families of patterns like epicycloids, hypocycloids, and trochoids—the very designs made famous by the classic Spirograph toy. As the generating point traces its continuous route, it weaves an intricate, symmetric lattice of loops, petals, or sharp cusps that beautifully bridges abstract calculus with visual art. These mesmerizing, harmonious forms are not only celebrated in graphic design and aesthetics for their perfect radial symmetry, but they also serve functional purposes in engineering, such as determining the precise tooth profiles of high-performance gears.
//CREDITS Thanks to @Imnotthinknoodle3151 for the like, fave and follow sprite Works better here https://turbowarp.org/1383105798
