Towerpower

A tool made in groovy to show the beauty of math. Visualizes the infinite exponentiation tower of each complex number on the plane:\

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This is also called tetration escape. Black means the equation exploded after some iterations. Towerpower also has alternative modes with slightly modified equations, where you might find unexpected things, like a mandelbrot hidden in between the "sin" mode. Check out PaintPanel#findPointColor to find out what each mode does. You can play with the settings to get even prettier results.

Gallery

Here are some examples of images towerpower produced.

Tetration escape while also changing the base	A mandelbrot hidden in the "sin" mode	The "exp" mode
Interesting structures in the "sin" mode	Interesting structures in the "sin" mode	Tetration escape patterns
Tetration escape patterns	Tetration escape patterns	Tetration escape patterns

Notice

The more you zoom in, the more inaccurate values will get, so don't be surprised with weird patterns.