The Math Behind
Yup performs extensive computation on the modified
logistic equation and reveals the colorful interplay between chaos and order.
The article
"Leaping into Lyapunov Space"
, published in Scientific American in 1991, describes how dynamic systems can be turned into gorgeous images
by the use of the Lyapunov exponent.
Zooming in
Zoom in the Lyapunov space and create your individual Yup image:
- Tap settings
- Tap on the row "X Value Range" or "Y Value Range"
- Change position of the rectangular by dragging
- Change rectangular size by dragging the left bottom corner
- Hide/show tab and status bars by tapping the screen
- Tap Done and then Compute
- Experiment with different colors
- Save the image in your camera roll
Color Wheel
Paint gorgeous Lyapunov spaces with the color wheel. Hue an saturation can also be set in landscape mode.