Ribbed Surfaces for Art, Architecture and Visualization

Hamlin, James F.; Séquin, Carlo H.

doi:10.3722/cadaps.2009.749-758

Cited by 4 publications

(4 citation statements)

References 4 publications

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“…Art and science, historically seen, have always been strongly connected, in the sense that both human activities attempt to expose and understand the complex structures and deep layers of nature, albeit with very different methodologies (Filley, 2016). Also science often makes use of artistic representations while contemporary art increasingly integrates science-technological instrumentation (Banschoff, 1998;Hamlin & Séquin, 2009). The history of art varied through time and from one culture to the other.…”

Section: Art and Music Modeled By Toroidal Geometrymentioning

confidence: 99%

Processes of Science and Art Modeled as a Holoflux of Information Using Toroidal Geometry

Meijer¹

2018

OJPP

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An attempt is made to model the structure of science and art discovery processes in the light of currently defined ideas on the societal flow of knowledge and conservation of information, using the versatile physical concept of toroidal geometry. This should be seen as a heuristic model that is open for further development and evolution. The scientific process, has been often described as a iterative and/or recurrent process. Current models explain the generation of new knowledge on the basis of a number of sequential steps (activities) operating in a circular mode. This model intrinsically assumes this process to be congruent for all individual scientific efforts. Yet, such a model is obviously inadequate to fully describe the whole integral process of scientific discovery as an ongoing interactive process, performed in a cumulative fashion. This implies that any new cycle starts from a different perspective or, optimistically seen, is initiated from a higher level, in a spiral mode, that takes into account the ongoing rise of scientific perspectives. Also, any model that attempts to picture the scientific process, should include potential interactions of concepts or hypotheses, in the sense that concurrently developed concepts may (mutually) influence each other and even may be mixed or superposed or, alternatively, may even result in concept extinction. Science and art progression, both seen as an individual effort and as a historically-based flow of events, is inherently a non-linear or even sometimes a chaotic process, where quite suddenly arising visions can cast a very different light on main-stream scientific thought and/or seem to remove existing barriers in more traditional "habits of the mind". In contrast to the rather gradual evolution of science, the history of art sometimes even shows complete rejection of preceding conceptualizations and styles. The dynamics of cognition and perception are fruitfully suggested by the rotational dynamics of a torus as a basis for its "self-reflexive" property. Also, the torus exhibits contraction/relaxation loops,

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Section: Art and Music Modeled By Toroidal Geometrymentioning

confidence: 99%

Processes of Science and Art Modeled as a Holoflux of Information Using Toroidal Geometry

Meijer¹

2018

OJPP

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“…Alternatively we may choose to increase the twist in the toroidal sweep structure. Avoiding the case (3,3), where the guide rail would break up into 3 separate loops, the next connected candidate is the (3,4) torus knot. This however looks too twisty for our taste; instead we explore the case of the (4,3) torus knot.…”

Section: Solstice Variationsmentioning

confidence: 99%

Computer Generation of Ribbed Sculptures

Hamlin¹,

Séquin²

2011

The Best Writing on Mathematics 2011

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s monumental sculpture Solstice is analyzed and its generative geometrical logic based on a twisted toroidal sweep is captured in a computer program with interactively adjustable control parameters. This program is then used to generate other models of ribbed sculptures based on one or more interlinked torus knots. From this family of sculptures related to Perry's Solstice we derive a broader paradigm for the generation of "ribbed" sculptures. It is based on one or two simple, mathematically defined "guide rails," which are then populated with a dense set of thinner "ribs" to create lightweight, transparent surfaces. With this broadened concept and a few suitably modified and parameterized programs we can emulate many other ribbed sculptures by Charles Perry and also create new sculpture designs and mathematical visualization models that profit from the semi-transparent look of these structures.

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Section: Solstice Variationsmentioning

confidence: 99%

“…In order to create a general ribbed surface [2], [3], we need to define either one or two parameterized guide rail curves and the rail cross-sections that will be swept along the rail curve(s). For the ribs we have to specify the total number of ribs, their cross-sectional shape, and two parameter intervals for the locations of their endpoints beginning on guide rail Gb and ending on guide rail Ge.…”

Section: Generalized Ribbed Surfacesmentioning

confidence: 99%

Computer generation of ribbed sculptures

Hamlin

Séquin

2010

Journal of Mathematics and the Arts

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Charles Perry's monumental sculpture Solstice is analyzed and its generative geometrical logic based on a twisted toroidal sweep is captured in a computer program with interactively adjustable control parameters. This program is then used to generate other models of ribbed sculptures based on one or more interlinked torus knots. From this family of sculptures related to Perry's Solstice we derive a broader paradigm for the generation of "ribbed" sculptures. It is based on one or two simple, mathematically defined "guide rails," which are then populated with a dense set of thinner "ribs" to create lightweight, transparent surfaces. With this broadened concept and a few suitably modified and parameterized programs we can emulate many other ribbed sculptures by Charles Perry and also create new sculpture designs and mathematical visualization models that profit from the semi-transparent look of these structures.

show abstract

Ribbed Surfaces for Art, Architecture and Visualization

Cited by 4 publications

References 4 publications

Processes of Science and Art Modeled as a Holoflux of Information Using Toroidal Geometry

Processes of Science and Art Modeled as a Holoflux of Information Using Toroidal Geometry

Computer Generation of Ribbed Sculptures

Computer generation of ribbed sculptures

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