Aesthetic Judgment of Triangular Shape: Compactness and Not the Golden Ratio Determines Perceived Attractiveness

Friedenberg, Jay

doi:10.1068/i0484

Cited by 18 publications

(19 citation statements)

References 29 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As mentioned in the Introduction, already Pierce (1894) observed that perceptual stability is a variant of balance, especially for vertically arranged elements in a picture. More recently, Friedenberg (2012) even proposed a perceptual instability hypothesis, stating that objects perceived as more fragile are less attractive.…”

Section: Methodsmentioning

confidence: 99%

Perceptual Balance, Stability, and Aesthetic Appreciation: Their Relations Depend on the Picture Type

Hübner

Fillinger

2019

i-Perception

View full text Add to dashboard Cite

It is widely assumed that the aesthetic appreciation of a picture depends, among others, on how well the picture’s composition is perceptually balanced, where “perceptual balance” is often defined analogous to mechanics. To what extent this metaphor holds for different picture types, however, is still open. Therefore, in this study, we examined the relationship between balance, liking, and some objective measures with pictures from an aesthetic sensitivity test. These stimuli could be divided into single-element, multiple-element, and dynamic-pattern pictures. The results show that “balance” is interpreted differently, depending on the stimulus type. Whereas “mechanical” balance was applied to assess single-element pictures, the balance of multiple-element and dynamic-pattern pictures was rated more in the sense of gravitational stability. Only for the multiple-element stimuli, there was a positive relation between balance/stability and liking. Together, our findings show that there are different types of balance, and that their relation with liking depends on the picture type.

show abstract

Section: Methodsmentioning

confidence: 99%

Perceptual Balance, Stability, and Aesthetic Appreciation: Their Relations Depend on the Picture Type

Hübner

Fillinger

2019

i-Perception

View full text Add to dashboard Cite

show abstract

“…Email: wenwen@asu.edu W. Li et al retrieval, this factor is used to identify shape signatures for non-rigid shape search and retrieval in large databases (Ovsjanikov et al 2009). In psychological studies, compactness has been introduced to quantify perceptual stability and to understand the causes of perceived shape aesthetics (Friedenberg 2012).…”

Section: Introductionmentioning

confidence: 99%

An efficient measure of compactness for two-dimensional shapes and its application in regionalization problems

Goodchild

Church

2013

International Journal of Geographical Information Science

169

View full text Add to dashboard Cite

A measure of shape compactness is a numerical quantity representing the degree to which a shape is compact. Ways to provide an accurate measure have been given great attention due to its application in a broad range of GIS problems, such as detecting clustering patterns from remote-sensing images, understanding urban sprawl, and redrawing electoral districts to avoid gerrymandering. In this article, we propose an effective and efficient approach to computing shape compactness based on the moment of inertia (MI), a well-known concept in physics. The mathematical framework and the computer implementation for both raster and vector models are discussed in detail. In addition to computing compactness for a single shape, we propose a computational method that is capable of calculating the variations in compactness as a shape grows or shrinks, which is a typical application found in regionalization problems. We conducted a number of experiments that demonstrate the superiority of the MI over the popular isoperimetric quotient approach in terms of (1) computational efficiency; (2) tolerance of positional uncertainty and irregular boundaries; (3) ability to handle shapes with holes and multiple parts; and (4) applicability and efficacy in districting/zonation/regionalization problems.

show abstract

“…These are commonly found in constructed objects like houses and so familiarity may explain its ranking. In previous work, we have found that participants rate right triangles that are more compact more beautiful and familiarity may account for the result (Friedenberg, 2012).…”

Section: Discussionmentioning

confidence: 71%

Geometric Regularity, Symmetry and the Perceived Beauty of Simple Shapes

Friedenberg

2017

Empirical Studies of the Arts

Self Cite

View full text Add to dashboard Cite

Geometric regularity is introduced as a simplicity metric for understanding the esthetics of basic polygons. In Experiment 1, undergraduates rated the perceived beauty of triangles varying in geometric regularity defined by their side-length standard deviation. Each type of triangle was used: equilateral, isosceles, right, and scalene. Ratings increased with an increase in regularity and were highest for symmetric shapes. The results were replicated in a second experiment using each type of quadrilateral: square, rectangle, parallelogram, rhombus, kite, isosceles, and trapezoid. Although ratings in Experiment 2 also increased with regularity, symmetry did not perfectly predict ranked order of preference. Symmetry, partial symmetry, and familiarity are discussed as factors that can account for the results. On the basis of the shapes used in this study, we conclude that simplicity in the form of geometric regularity is usually but not always preferred.

show abstract

Aesthetic Judgment of Triangular Shape: Compactness and Not the Golden Ratio Determines Perceived Attractiveness

Cited by 18 publications

References 29 publications

Perceptual Balance, Stability, and Aesthetic Appreciation: Their Relations Depend on the Picture Type

Perceptual Balance, Stability, and Aesthetic Appreciation: Their Relations Depend on the Picture Type

An efficient measure of compactness for two-dimensional shapes and its application in regionalization problems

Geometric Regularity, Symmetry and the Perceived Beauty of Simple Shapes

Contact Info

Product

Resources

About