hypotrochoids
A hypotrochoid is a type of curve traced by a point attached to a smaller circle that rolls inside a larger stationary circle. The path created can vary in shape depending on the sizes of the circles and the position of the tracing point. Hypotrochoids are often used in mathematics and engineering to model complex patterns.
These curves are related to other geometric shapes, such as epitrochoids, which are traced by a point on a circle rolling outside another circle. Hypotrochoids can also be found in various applications, including gear design and art, where they create intricate designs.