This interactive visualization demonstrates the fascinating patterns created by iteratively finding midpoints of a pentagon. Observe how starting with moving dots on circles arranged in a pentagon and repeatedly calculating midpoints generates intricate geometric shapes. Experiment with the controls below to modify the animation and explore different visual outcomes.
Adjust the parameters below to see how they affect the pentagon visualization.
Angular Speed: Controls the base speed at which the dots move around their respective circles. Higher values increase the speed.
Desynchronization: Introduces variation in the angular speeds of the dots, making them move at slightly different rates. This can lead to more complex patterns.
Iterations: Determines how many times the midpoint calculation is performed. More iterations result in finer and more detailed pentagonal shapes.
Start: Resumes the animation if it has been paused.
Pause: Stops the animation, allowing you to examine the current state.
Reset: Restarts the animation from the initial state, resetting dot positions and speeds.