Exploring the depths of infinity

The magical fractal.

Exploring the patterns within a fractal is fascinating. The world within is endlessly evolving with increasing iteration depths and resolution. Local regions may assume unique characteristics found only in that region. There are spiraling patterns, cyclical patterns, and some that appear to repeat as one zooms into deeper and deeper depths.

There are regions of peaceful gently flowing patterns while others contain extremely complex shapes. Pattern characteristic transition after the initial surface depths are passed as the fractal world expands into beautiful and captivating imagery with each new region explored.

In addition to revealing fractal images FractalEcho enables an entrance into the infinite beyond what any other apps have attempted before. FractalEcho offers a window into the infinite world that was previously available only on supercomputers. FractalEcho opens the infinite that even a mobile device and reach into the beyond.

If you have seen fractal images before FractalEcho will take you further by exploring into the underlying depths no person has previously seen. There is a distinct character change when resolutions extend beyond the reach generally available in ways only FractalEcho delivers.

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

Why FractalEcho?

Exploring the depths of a fractal in all of it’s splendor requires extreme math. Typical math limitations fall short of permitting a deep exploration of the fractal’s magical qualities.

To explore the more complex and exciting patterns FractalEcho reaches further into the infinite achieving a stunning 5e-65 resolution with iteration counts reaching 1,000,000 on MacOS and 100,000 on mobile devices to explore the previously unobtainable.

Experience a fractal as never before seen. You can explore a world of patterns no human has viewed before.

Fractals define an element of the infinite.

FractalEcho enables an option to demonstrate the infinite by revealing the finite fractal area as the perimeter goes to infinity. You can hold in your hand a fractal that has a perimeter of infinite length. FractalEcho offers a path to demonstrate and explored this unique fractal characteristic.

FractalEcho contains an in-app tutorial to assist in creating the best images possible. Other features include color adjustments for color tables, color rate of change and color within the available range. The search depth has an automatic adjustment or a user selectable limit.

FractalEcho supports 22 languages.

Some features require in-app purchases that can be shared to all your Macs, iPhones and iPads.

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