Did the ancient Greeks first construct fractals in the first century using compass and straightedge constructions?

Answer 1

No, the ancient Greeks did not construct fractals in the modern sense using compass and straightedge constructions. While they explored geometric shapes and patterns, the concept of fractals—self-similar patterns at various scales—was not formally recognized until the 20th century. Fractals are a mathematical concept that emerged from the work of mathematicians like Benoit Mandelbrot in the late 20th century, long after the time of the ancient Greeks.