Exploring the depths of infinity

The magical fractal.

Fractal patterns are captivating to explore. The world within a fractal is endlessly evolving with each iteration, leading to the emergence of unique characteristics in specific regions. These patterns can manifest as spirals, cycles, or even apparent repetitions as one zooms deeper.

While some regions exhibit peaceful, gently flowing patterns, others contain extremely complex shapes. The characteristics of these patterns transition as the initial surface depths are surpassed, revealing a breathtaking and captivating landscape with each new region explored.

Beyond its ability to generate fractal images, FractalEcho offers a unique gateway to the infinite, a domain previously accessible only to supercomputers. Your mobile device is your window into the infinite with FractalEcho

Even if you’ve encountered fractal images before, FractalEcho takes you further into the underlying depths that no one has explored before. As resolutions surpass the capabilities of typical apps, FractalEcho offers a unique mathematical advantage to explore the infinite.

Beauty at 500,000 iterations
Beauty at 500,000 iterations

Why FractalEcho?

Exploring the depths of a fractal in all its splendor demands extreme mathematics. Traditional mathematical implementations are limited by the computer’s capabilities, hindering the exploration of the captivating properties of fractals.

FractalEcho ventures further into the infinite, achieving a breathtaking 5e-65 resolution with iteration counts reaching 1,000,000 on macOS and 100,000 on mobile devices. This allows us to explore the previously unattainable realm of fractal patterns.

Prepare to witness a fractal unlike anything previously explored. You will have the opportunity to explore a world of patterns that have never been seen by a human eye.

Fractals define an element of the infinite.

FractalEcho provides an option to showcase the infinite by revealing the finite fractal area as the perimeter approaches infinity. Imagine holding a fractal in your hand with an infinite perimeter. FractalEcho offers a unique path to explore this extraordinary fractal characteristic.

FractalEcho includes an in-app tutorial to help you explore and create the best possible images. Other features include adjustments for color tables and color rate of change. The search depth has an automatic adjustment or a user-selectable limit.

FractalEcho supports 23 languages.

Some features require in-app purchases that can be shared across all your Macs, iPhones, and iPads. Family sharing is also supported.

FractalEcho is available on the AppStore.
Veiw FractalEcho on the AppStore