scholarly journals DIMENSÕES FÍSICAS, GEOMETRIA, PERSPECTIVA, FILOSOFIA E ARTE

Sapere Aude ◽  
2019 ◽  
Vol 10 (19) ◽  
pp. 184-202
Author(s):  
Raquel Anna Sapunaru
Keyword(s):  
Sixteenth Century ◽  
Fifteenth Century ◽  
Euclidean Geometry ◽  
Dimensional Space ◽  
Three Dimensional ◽  
The Arts ◽  
Filippo Brunelleschi ◽  
The Many ◽  
Dimensionality Of Space ◽  
Three Dimensional Space

A ideia de um espaço tridimensional começou a se formar no século XV. Antes disso, em um mundo dominado pelo aristotelismo, o espaço era vinculado à superfície e não ao volume. Foi através das artes que essa realidade começou a mudar. A perspectiva racional, definida aqui como um recurso gráfico que utiliza o efeito visual de linhas convergentes para criar a ilusão de tridimensionalidade do espaço e das formas representadas sobre uma superfície plana de um papel ou tela, nascida a partir de uma retomada da geometria euclidiana, entrou em cena para ficar no século XVI. Entre os muitos nomes que poderiam ser citados, destacaram-se o matemático e filósofo John Dee, o arquiteto e designer Filippo Brunelleschi, e o pintor e matemático Pierro della Francesca. Através da combinação das ideias e realizações desses três atores é possível entender uma época de transição entre o antigo e o moderno, em termos de ciência e arte.PALAVRAS-CHAVE: Espaço tridimencional. Geometria. Perspectiva racional. Filosofia e arte. ABSTRACTThe idea of a three-dimensional space began to form in the fifteenth century. Before that, in a world dominated by Aristotelianism, space was bound to the surface and not to the volume. It was through the arts that this reality began to change. The rational perspective, defined here as a graphic resource that uses the visual effect of converging lines to create the illusion of three-dimensionality of space and forms represented on a flat surface of a paper or canvas, born from a resumption of Euclidean geometry, came into the scene to stay in the sixteenth century. Among the many names that could be cited were the mathematician and philosopher John Dee, the architect and designer Filippo Brunelleschi, and the painter and mathematician Pierro della Francesca. By combining the ideas and achievements of these three actors it is possible to understand a time of transition between the old and the modern, in terms of science and art.KEYWORDS: Three-dimensional space. Geometry. Rational Perspective. Philosophy and Art.

scholarly journals The Algorithm for Determining the Coordinates of a Point in Three-Dimensional Space by Using the Auxiliary Point

2013 ◽  
Vol 48 (4) ◽  
pp. 141-145 ◽  
Author(s):  
Bartlomiej Oszczak ◽  
Eliza Sitnik
Keyword(s):  
Fixed Point ◽  
Precise Measurement ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Satellite Navigation ◽  
Reference Points ◽  
Two Dimensional ◽  
Approximate Location ◽  
The Many ◽  
Three Dimensional Space

ABSTRACT During the process of satellite navigation, and also in the many tasks of classical positioning, we need to calculate the corrections to the initial (or approximate) location of the point using precise measurement of distances to the permanent points of reference (reference points). In this paper the authors have provided a way of developing Hausbrandt's equations, on the basis of which the exact coordinates of the point in two-dimensional space can be determined by using the computed correction to the coordinates of the auxiliary point. The authors developed generalised equations for threedimensional space introducing additional fixed point and have presented proof of derived formulas.

scholarly journals Introduction into the Extra Geometry of the Three–Dimensional Space I

2020 ◽  
Vol 5 (5) ◽  
pp. 538-544 ◽  
Author(s):  
Istvan Szalay ◽  
B. Szalay
Keyword(s):  
Euclidean Geometry ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Real Numbers ◽  
Axiom Systems ◽  
Three Dimensional Space

Using the theory of exploded numbers by the axiom–systems of real numbers and euclidean geometry, we introduce a geometry in the three–dimensional space which is different from the euclidean-, Bolyai – Lobachevsky- and spherical geometries. In this part the concept of extra-line and extra parallelism are detailed.

scholarly journals Introduction into Extra Geometry of the Three-Dimensional Space II

2020 ◽  
Vol 5 (8) ◽  
pp. 904-914
Author(s):  
Istvan Szalay ◽  
Balazs Szalay
Keyword(s):  
Euclidean Geometry ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Essential Difference ◽  
Real Numbers ◽  
Euclidean Planes ◽  
Axiom Systems ◽  
Three Dimensional Space

Using the theory of exploded numbers by the axiom-systems of real numbers and Euclidean geometry, we introduce concept of extra - plane of the three-dimensional space. The extra - planes are visible subsets of super-planes which are exploded Euclidean planes. We investigate the main properties of extra-planes. We prove more similar properties of Euclidean planes and extra-planes, but with respect the parllelism there is an essential difference among them.

Virtual Reality in Education

2010 ◽  
pp. 228-243 ◽  
Author(s):  
Chris Christou
Keyword(s):  
Virtual Reality ◽  
Active Learning ◽  
Virtual Environment ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Sensory Interaction ◽  
Effective Learning ◽  
The Many ◽  
Physical Laws ◽  
Three Dimensional Space

Virtual Reality is implemented by a combination of technologies that are used in order to visualize and provide interaction with a virtual environment. These environments often depict three-dimensional space which may be realistic or imaginary, macroscopic or microscopic and based on realistic physical laws of dynamics, or on imaginary dynamics. The multitude of scenarios that VR may be used to depict make it broadly applicable to the many areas in education. A key feature of VR is that it allows multi-sensory interaction with the space being visualized. Here we look at how this combination of multi-sensory visualization and interactivity make VR ideally suited for effective learning and try to explain this effectiveness in terms of the advantages afforded by active learning through experiences. We also consider some of the applications of VR in education and also some of its drawbacks.

scholarly journals Using direct and contructive methods for the existence of origami models with given boundary conditions

2020 ◽  
Vol 01 (01) ◽  
pp. 54-71
Author(s):  
R. GERETSCHLAGER ◽  
◽  
S.L. KEELING ◽  
Keyword(s):  
Boundary Conditions ◽  
Euclidean Geometry ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Closed Curve ◽  
Closed Curves ◽  
Unit Square ◽  
Total Length ◽  
Three Dimensional Space

Whenever a unit square is folded to create an origami model in three-dimensional space, the edge of the paper forms a closed curve in space with a total length equal to four units. In this paper, some of the restrictions applicable to such resulting closed curves are derived in the case of classic origami models, in which none of the sections of the folded paper is curved in any way. This allows us to restrict the methods applied to those of classic euclidean geometry. Noting that it is of interest to determine origami models whose edges coincide with a polyline fulfilling the required conditions, we then proceed to show some methods for reconstructing the origami model if the boundary is known. Finally, some concrete reconstructions are demonstrated.

scholarly journals Quantum Molecular Polyhedra and Atomic Populations

2021 ◽  
Vol 14 (14) ◽  
pp. 6-13
Author(s):  
Ramon Carbó-Dorca
Keyword(s):  
Density Function ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Molecular Structures ◽  
Basis Set ◽  
Electronic Density ◽  
The Many ◽  
Lcao Mo Theory ◽  
Three Dimensional Space ◽  
Atomic Populations

The present paper uses the LCAO MO theory formalism. The structure of the first order electronic density function is decomposed in two kinds of quantum polyhedra to discuss the behavior of quantum atomic populations. Among the many aspects one can consider about atomic populations here, the quantum mechanical structure of the density function is taken as the most important characteristic to think about. Apart of the usual one-electron basis set, centered in the molecular atoms, there is also discussed the possibility that the three-dimensional space where the molecular structures are described can be also the site of basis functions centered in points non-coincident with atomic positions.

Extension of the Spatial PDI Model to Three Dimensions

1997 ◽  
Vol 84 (1) ◽  
pp. 176-178
Author(s):  
Frank O'Brien
Keyword(s):  
Population Density ◽  
Dimensional Space ◽  
Finite Lattice ◽  
Three Dimensional ◽  
Upper Bounds ◽  
Three Dimensions ◽  
Lower And Upper Bounds ◽  
Density Index ◽  
Three Dimensional Space

The author's population density index ( PDI) model is extended to three-dimensional distributions. A derived formula is presented that allows for the calculation of the lower and upper bounds of density in three-dimensional space for any finite lattice.

A Peptoid with Extended Shape in Water

2019 ◽  
Author(s):  
Jumpei Morimoto ◽  
Yasuhiro Fukuda ◽  
Takumu Watanabe ◽  
Daisuke Kuroda ◽  
Kouhei Tsumoto ◽  
...  
Keyword(s):  
Spectroscopic Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Biomolecular Recognition ◽  
Biological Application ◽  
New Class ◽  
Proteolytic Resistance ◽  
Pharmacokinetic Properties ◽  
Optically Pure ◽  
Three Dimensional Space

<div> <div> <div> <p>“Peptoids” was proposed, over decades ago, as a term describing analogs of peptides that exhibit better physicochemical and pharmacokinetic properties than peptides. Oligo-(N-substituted glycines) (oligo-NSG) was previously proposed as a peptoid due to its high proteolytic resistance and membrane permeability. However, oligo-NSG is conformationally flexible and is difficult to achieve a defined shape in water. This conformational flexibility is severely limiting biological application of oligo-NSG. Here, we propose oligo-(N-substituted alanines) (oligo-NSA) as a new peptoid that forms a defined shape in water. A synthetic method established in this study enabled the first isolation and conformational study of optically pure oligo-NSA. Computational simulations, crystallographic studies and spectroscopic analysis demonstrated the well-defined extended shape of oligo-NSA realized by backbone steric effects. The new class of peptoid achieves the constrained conformation without any assistance of N-substituents and serves as an ideal scaffold for displaying functional groups in well-defined three-dimensional space, which leads to effective biomolecular recognition. </p> </div> </div> </div>

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