Mandelbrot set Explorer

Mandelbrot set Explorer is an interactive tool designed for in-depth exploration of the Mandelbrot set. Users can zoom in and out to reveal intricate details of the fractal and pan across the complex plane to examine different regions. A red cursor marks the point of interest, allowing users to identify the period of the area it targets.

One of the key features of the explorer is its dynamic adjustment of the maximum number of iterations based on the zoom level. As users zoom deeper into the set, the iteration count automatically increases, ensuring a detailed and accurate visualization of the fractal's structure at every level.

This interactive component offers an engaging way to explore the mathematical beauty of the Mandelbrot set, enabling users to uncover its complexity and periodic structures with ease.

• Red Dot: Located at the center of the canvas, it marks the point of interest.
• Real Part of the Centre: Coordinates of the red dot on the real axis.
• Imaginary Part of the Centre: Coordinates of the red dot on the imaginary axis.
• Rendering Time: Displays the time taken to render the visualization.
• Zoom: Indicates the zoom level.
• Max Iterations: The maximum number of iterations used in the rendering process.
• Period: The period of the point \( c \) targeted by the red dot.
• Zoom In Button: Increases the zoom level for a closer view.
• Zoom Out Button: Decreases the zoom level for a wider view.
• Reset Button: Resets the view to the default position.