Quantifying Aesthetic Preference for Chaotic Patterns

@article{Aks1996QuantifyingAP,
  title={Quantifying Aesthetic Preference for Chaotic Patterns},
  author={Deborah J. Aks and Julien Clinton Sprott},
  journal={Empirical Studies of the Arts},
  year={1996},
  volume={14},
  pages={1 - 16}
}
Art and nature provide much of their aesthetic appeal from a balance of simplicity and complexity, and order and unpredictability. Recently, complex natural patterns have been produced by simple mathematical equations whose solutions appear unpredictable (chaotic). Yet the simplicity and determinism of the equations ensure a degree of order in the resulting patterns. The first experiment shows how aesthetic preferences correlate with the fractal dimension (F) and the Lyapunov exponent (L) of… 

Tables from this paper

Fractals in art and nature: why do we like them?

Fractals have experienced considerable success in quantifying the visual complexity exhibited by many natural patterns, and continue to capture the imagination of scientists and artists alike.

Judged Beauty of Fractal Symmetries

Fractals are patterns that show self-similarity at different levels of scale. Typically they appear in nature and this degree of similarity is approximate or statistical. However, artificial or exact

Aesthetic Responses to Exact Fractals Driven by Physical Complexity

TLDR
It is found that preference ratings for exact midpoint displacement fractals can be described by a linear trend with preference increasing as fractal dimension increases, and a set of four factors that influence complexity and preference judgments in fractals that may extend to other patterns are proposed.

Chaos and graphics Universal aesthetic of fractals

Since their discovery by Mandelbrot (The Fractal Geometry of Nature, Freeman, New York, 1977), fractals have experienced considerable success in quantifying the complex structure exhibited by many

Perceptual and physiological responses to the visual complexity of fractal patterns.

TLDR
Results showing that fractal images generated by mathematical, natural and human processes possess a shared aesthetic quality based on visual complexity are discussed, showing a preference for fractals with mid-range fractal dimensions.

Preference for Fractal-Scaling Properties Across Synthetic Noise Images and Artworks

TLDR
The role of fractal-scaling statistics both as a key determinant of an object’s esthetic value and as a valuable predictor of individual differences in esthetic preference are supported.

Universal aesthetic of fractals

Fractal dimensions of landscape images as predictors of landscape preference

Many studies of natural landscape preference have demonstrated that qualities such as ‘complexity’ and ‘naturalness’ are associated with preference, but have struggled to define the key

Beauty and the beholder: the role of visual sensitivity in visual preference

TLDR
Broadly speaking, the results support assertions that there is a close relationship between aesthetic experience and the sensory coding of natural stimuli.

Quantifying Aesthetic Preference And Perceived Complexity For Fractal Melodies

PARTICIPANTS RATED THE PERCEIVED complexity and melodiousness of fractal (1/f ) tone sequences with specific ß values. Plotting the mean complexity and melodicity ratings against each other and
...

References

SHOWING 1-10 OF 52 REFERENCES

The perception of natural contour.

TLDR
The perceptual protocols that underlie discrimination between fractals and between other types of random contour and fractals are examined and it is proposed that this disposition be understood as a principle of perceptual organization.

Automatic generation of iterated function systems

Fractal curves and complexity

TLDR
The measures from the previous literature and those of fractal parameters provide equal predictive value in judgments of these stimuli, and both provide reliable predictive value and were highly correlated with recursive depth, fractal dimension, and number of segments in the generator, respectively.

Birkhoff on Aesthetic Measure

TLDR
Aesthetic Measure will be examined as to how well it solves its self-imposed problem, and as to the relevance of its contribution to aesthetics, this term being used in its broadest sense.

Symmetropy, an entropy-like measure of visual symmetry

  • E. Yodogawa
  • Computer Science
    Perception & psychophysics
  • 1982
TLDR
The analyses show that the symmetropy vector predicts pattern goodness and pattern complexity, as well as the amount of symmetry in a patterns, and suggest that pattern goodness is a concept based on the holistic properties of a pattern, while pattern complexity is a concepts based on both holistic and partial properties ofA pattern.

Varieties of Realism: Geometries of Representational Art

Varieties of Realism argues that it is not possible to represent the layout of objects and surfaces in space outside the dictates of formal visual geometry, the geometry of natural perspective. The

Some informational aspects of visual perception.

TLDR
Special types of lawfulness which may exist in space at a fixed time, and which seem particularly relevant to processes of visual perception are focused on.

Uncertainty and structure as psychological concepts

It was a misfortune of psychology that it lacked a tradition of dealing with rigorous mathematical theories when psychologists were first attracted by information theory. Applications were made with
...