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Op Art and More 

Flash Light within Fatou Sets

Presentation of flickering intensity values

Attention: These videos contain oscillating elements which might result in migrane or even photosensitive epilepsy!

2019

Video

This page shows fractals whose computed values are presented as flickering areas.

You will find information about the computation of the fractals with Fatou sets and to the presented values of intensity under the menu bar “Fatou sets”.

The computation uses time-variant iterations among 1 and 500. The constant term c of the formulas is also used time-variant as c(t). The image coordinates are variable during the image sequences due to the optical impression. Flickering areas correspond to regions where the common computation on base of the actual rate of iterations leads to finite values, which are mostly displayed black by other authors. Here these areas are computed by a fuzzy operation (note fuzzy distance) with a result of an either positive or negative value, which are displayed differently.

Other coloured regions show infinite values in the iteration process. The recording rate and the replay frequency are adjusted with 25 images per second. Some of the flashes correspond to one step of iteration as consequence of the fuzzy operation which leads to many flash frequencies of 25 Hz also.

















































Video Index

(z3+c)/z

(1:16 min)

Bild Index

(z3+c)/z

(0:58 min)

Bild Index

(z2+c)/(z2-c)

(1:01 min)

Bild Index

(z4+c)/z

(0:51 min)

Bild Index

(z3-z)/(z2+1)

(1:23 min)

Bild Index

(cz3+c)/z

(0:36 min)

Bild Index