App: Fractal Gazer
Developer: Masaaki Wada
Genres: Education

Move the red and blue points by the mouse and see what happens.
Fractal Gazer visualizes deformations of the limit set of iterated function systems generated by contractive similarity transformations of the plane.

Release notes:
Added in 1.1.2
Limit set mode "Shades of Gray" shows self-similarity layers in shades of gray instead of color.
Fixed a bug causing Save Picture to occasionally save blank image.

Added in 1.1.1
Fixed: Fractal Gazer now reads data saved by older versions correctly.
Fixed: Irregular shake of image while dragging a control point in some situations has been fixed.

Ver. 1.1
Displayed limit set now shows overlapping details.
Saturation adjuster is added.
Color/Monochrome choice and saturation are saved to file alongside other parameters.
Preferences menu is added for settings including the default window size.
Limit set texture size can now be chosen in Preferences.
Tiling menu is added.
Home menu now fits the minimal invariant disk in window. 
Save Picture menu remembers previously chosen file type.
Shift-Option-dragging selection for fine-adjusting the movement.
A few more minor revisions and fixes.