Optics and Mathematics in the Domed Churches of Guarino Guarini

Robison, Elwin C.

doi:10.2307/990663

Cited by 10 publications

(3 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Retaining this relationship in constructed scenes and images makes them look more natural [12][13][14]. Altering the natural relationship between f and distance is called forced perspective, and it can make some objects, and entire scenes, appear larger or smaller than they are [12,[14][15][16][17][18]. In scenes where object size declines with distance, the more rapidly decreasing f appear to correspond to larger scenes or objects [15][16][17][18].…”

Section: Resultsmentioning

confidence: 99%

“…Altering the natural relationship between f and distance is called forced perspective, and it can make some objects, and entire scenes, appear larger or smaller than they are [12,[14][15][16][17][18]. In scenes where object size declines with distance, the more rapidly decreasing f appear to correspond to larger scenes or objects [15][16][17][18]. This is used in gardens, buildings, theaters, movie sets, and amusement parks to give the illusion of greater size [16][17][18].…”

Section: Resultsmentioning

confidence: 99%

“…In scenes where object size declines with distance, the more rapidly decreasing f appear to correspond to larger scenes or objects [15][16][17][18]. This is used in gardens, buildings, theaters, movie sets, and amusement parks to give the illusion of greater size [16][17][18]. When object size increases with distance, the f decrease more slowly than normal, or remain constant ( Figure 1D) and the visual pattern (f distribution) is more regular than random.…”

Section: Resultsmentioning

confidence: 99%

See 2 more Smart Citations

Great Bowerbirds Create Theaters with Forced Perspective When Seen by Their Audience

Endler

Doerr

2010

Current Biology

View full text Add to dashboard Cite

Birds in the infraorder Corvida [1] (ravens, jays, bowerbirds) are renowned for their cognitive abilities [2-4], which include advanced problem solving with spatial inference [4-8], tool use and complex constructions [7-10], and bowerbird cognitive ability is associated with mating success [11]. Great bowerbird males construct bowers with a long avenue from within which females view the male displaying over his bower court [10]. This predictable audience viewpoint is a prerequisite for forced (altered) visual perspective [12-14]. Males make courts with gray and white objects that increase in size with distance from the avenue entrance. This gradient creates forced visual perspective for the audience; court object visual angles subtended on the female viewer's eye are more uniform than if the objects were placed at random. Forced perspective can yield false perception of size and distance [12, 15]. After experimental reversal of their size-distance gradient, males recovered their gradients within 3 days, and there was little difference from the original after 2 wks. Variation among males in their forced-perspective quality as seen by their female audience indicates that visual perspective is available for use in mate choice, perhaps as an indicator of cognitive ability. Regardless of function, the creation and maintenance of forced visual perspective is clearly important to great bowerbirds and suggests the possibility of a previously unknown dimension of bird cognition.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

See 1 more Smart Citation

Great Bowerbirds Create Theaters with Forced Perspective When Seen by Their Audience

Endler

Doerr

2010

Current Biology

View full text Add to dashboard Cite

show abstract

A Scientific Concept of Beauty in Architecture: Vitruvius Meets Descartes, Galileo, and Newton

Camerota

2014

Geometrical Objects

View full text Add to dashboard Cite

Guarino Guarini and Universal Mathematics

Roero¹

2009

Nexus Network Journal

View full text Add to dashboard Cite

Abstract. Guarini considered the mathematical studies to be of fundamental importance for all artists and scholars. His own knowledge of mathematics was vast and profound. The aim of this present paper is to show, through an analysis of the most substantial of his mathematical works, Euclides adauctus, along with the Appendix to this printed a few months later, the role that philosophical and mathematical studies had on his cultural formation, on the new and original research that he conducted, and on his teaching activities, while looking for traces of the mathematical sources that he consulted and cited that indicate which authors and works exerted the greatest influence on him. IntroductionGuarino Guarini, in the dedication to Charles Immanuel II of Savoy of his most important scientific treatise, Euclides adauctus et methodicus mathematicaque universalis, printed in Torino in 1671, underlines the miraculous power that mathematics exerts on architecture, declaring that it is possible to draw on mathematics' most sublime ideas, a science that he sought to enrich with the fruits of his labour:...but above all it is architecture that shines thanks to the distinguished and truly regal Thaumaturgy of the miracles of mathematics. ... Hereby receive, your Royal Highness, with benign visage and serene clemency, that which several times with the breadth of its ingeniousness in conceiving the most sublime ideas has fostered mathematics and all of the efforts of my work in adorning it. Guarini's predilection for mathematics over all other disciplines of learning is expressed more than once. It manifests itself concretely in his artistic creations, which make visible the beauty and harmony of forms born from his love of plane and solid geometry (cf. [Roero 2001]).In his first work of a philosophical-scientific nature, Placita Philosophica ( fig. 1), published in Paris in 1665, he upholds the importance of the knowledge of mathematics for all artists and scholars:All the arts depend on either mathematics, philosophy or medicine, all sciences that examine similitude, proportion or the fittingness of things ... Thus, the more profound the artist's knowledge is regarding the things relative to his art, of the means and manners of applying them, the more excellent will he be judged, and the more perfect his works will be considered. In fact, when the artist sets himself to his task, he does well to choose the most suitable material, to have a perfect knowledge of his instruments, and the ties with all the things relative to the art, and finally to eliminate the devices used to create each thing. And since in the most difficult situations neither imagination nor intellect is sufficient, the devices drawn from these models can be applied most perfectly to the idea to be demonstrated and performed in that particular circumstance. In his final work, Architettura Civile, published posthumously in 1737 under the direction of Bernardo Vittone, Guarini explicitly states architecture's dependence on mathematics:Of the, we might say, ...

show abstract

Optics and Mathematics in the Domed Churches of Guarino Guarini

Cited by 10 publications

References 1 publication

Great Bowerbirds Create Theaters with Forced Perspective When Seen by Their Audience

Great Bowerbirds Create Theaters with Forced Perspective When Seen by Their Audience

A Scientific Concept of Beauty in Architecture: Vitruvius Meets Descartes, Galileo, and Newton

Guarino Guarini and Universal Mathematics

Contact Info

Product

Resources

About