scholarly journals Celestial Spheres

2018 ◽  
Vol 2 (2) ◽  
pp. 168-186
Author(s):  
Austin M. Freeman
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Good Evidence ◽  
Medieval Period ◽  
The Bible ◽  
Higher Dimensional ◽  
Spatial Dimensions ◽  
Modern Physics ◽  
The Subject ◽  
Three Dimensional Space

Angels probably have bodies. There is no good evidence (biblical, philosophical, or historical) to argue against their bodiliness; there is an abundance of evidence (biblical, philosophical, historical) that makes the case for angelic bodies. After surveying biblical texts alleged to demonstrate angelic incorporeality, the discussion moves to examine patristic, medieval, and some modern figures on the subject. In short, before the High Medieval period belief in angelic bodies was the norm, and afterwards it is the exception. A brief foray into modern physics and higher spatial dimensions (termed “hyperspace”), coupled with an analogical use of Edwin Abbott’s Flatland, serves to explain the way in which appealing to higher-dimensional angelic bodies matches the record of angelic activity in the Bible remarkably well. This position also cuts through a historical equivocation on the question of angelic embodiment. Angels do have bodies, but they are bodies very unlike our own. They do not have bodies in any three-dimensional space we can observe, but are nevertheless embodied beings.

Influence of Ball and Background Patterns on Perception of Visual Direction of a Moving Object

1979 ◽  
Vol 49 (2) ◽  
pp. 343-346 ◽  
Author(s):  
Marcella V. Ridenour
Keyword(s):  
Analysis Of Variance ◽  
Moving Objects ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Moving Object ◽  
Visual Direction ◽  
Visual Patterns ◽  
Prediction Time ◽  
The Subject ◽  
Three Dimensional Space

30 boys and 30 girls, 6 yr. old, participated in a study assessing the influence of the visual patterns of moving objects and their respective backgrounds on the prediction of objects' directionality. An apparatus was designed to permit modified spherical objects with interchangeable covers and backgrounds to move in three-dimensional space in three directions at selected speeds. The subject's task was to predict one of three possible directions of an object: the object either moved toward the subject's midline or toward a point 18 in. to the left or right of the midline. The movements of all objects started at the same place which was 19.5 ft. in front of the subject. Prediction time was recorded on 15 trials. Analysis of variance indicated that visual patterns of the moving object did not influence the prediction of the object's directionality. Visual patterns of the background behind the moving object did not influence the prediction of the object's directionality except during the conditions of a light nonpatterned moving object. It was concluded that visual patterns of the background and that of the moving object have a very limited influence on the prediction of direction.

scholarly journals Fashion Window: A Conceptual Analysis Of Department Store Holiday Windows

2021 ◽  
Author(s):  
McKenzie Bohn
Keyword(s):  
Research Design ◽  
Conceptual Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Gestalt Theory ◽  
Fashion Industry ◽  
Art Object ◽  
The Subject ◽  
Window Displays ◽  
Three Dimensional Space

Window displays in the fashion industry are unique sites of meaning that combine advertising and artwork in a three-dimensional space. The current body of research surrounding window displays approaches the subject from a marketer’s position and attempts to evaluate performance. This project shifts the focus to the artistic qualities of window displays as they are used by fashion retailers. The primary theoretical lens is gestalt theory, which has applications in both psychology and design. The specific windows examined are the Christmas windows at retailer Saks Fifth Avenue Toronto in December of 2018. An autoethnographic research design is employed, resulting in an exploratory empirical analysis that serves as an entry into an under-represented area of study: the fashion window as an art object. The key findings of the project are the application of gestalt theory to the design of the windows and the researcher’s observations to suggest an explanation of the public’s response to the displays.

Perspective production in a savant autistic draughtsman

1995 ◽  
Vol 25 (3) ◽  
pp. 639-648 ◽  
Author(s):  
L. Mottron ◽  
S. Belleville
Keyword(s):  
Computational Analysis ◽  
Cognitive Deficit ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Theoretical Models ◽  
Linear Perspective ◽  
Vanishing Point ◽  
Vanishing Points ◽  
The Subject ◽  
Three Dimensional Space

SYNOPSISThis study examines perspective construction in an autistic patient (E.C.) with quasi-normal intelligence who exhibits exceptional ability when performing three-dimensional drawings of inanimate objects. Examination of E.C.'s spontaneous graphic productions showed that although his drawings approximate the ‘linear perspective’ system, the subject does not use vanishing points in his productions. Nevertheless, a formal computational analysis of E.C.'s accuracy in an experimental task showed that he was able to draw objects rotated in three-dimensional space more accurately than over-trained controls. This accuracy was not modified by suppressing graphic cues that permitted the construction of a vanishing point. E.C. was also able to detect a perspective incongruency between an object and a landscape at a level superior to that of control subjects. Since E.C. does not construct vanishing points in his drawings, it is proposed that his production of a precise realistic perspective is reached without the use of explicit or implicit perspective rules. ‘Special abilities’ in perspective are examined in relation to existing theoretical models of the cognitive deficit in autism and are compared to other special abilities in autism.

On the Problem of “Reverse Perspective”: Definitions East and West

Leonardo ◽  
2010 ◽  
Vol 43 (5) ◽  
pp. 464-469 ◽  
Author(s):  
Clemena Antonova
Keyword(s):  
20Th Century ◽  
Dimensional Space ◽  
Three Dimensional ◽  
The West ◽  
Pictorial Space ◽  
History Of ◽  
The Subject ◽  
East And West ◽  
Three Dimensional Space

The author considers the history of the theory of “reverse perspective” in the 20th century. She identifies six distinct views on reverse perspective, some of which are mutually exclusive. The first four definitions have circulated in both Western and Russian scholarship, while two further views proposed by Russian authors are little known in the West. The most useful contribution of Russian theory to the subject is the suggestion of a pictorial space fundamentally different from the three-dimensional space frequently taken for granted by Western viewers.

scholarly journals Fashion Window: A Conceptual Analysis Of Department Store Holiday Windows

2021 ◽  
Author(s):  
McKenzie Bohn
Keyword(s):  
Research Design ◽  
Conceptual Analysis ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Gestalt Theory ◽  
Fashion Industry ◽  
Art Object ◽  
The Subject ◽  
Window Displays ◽  
Three Dimensional Space

Window displays in the fashion industry are unique sites of meaning that combine advertising and artwork in a three-dimensional space. The current body of research surrounding window displays approaches the subject from a marketer’s position and attempts to evaluate performance. This project shifts the focus to the artistic qualities of window displays as they are used by fashion retailers. The primary theoretical lens is gestalt theory, which has applications in both psychology and design. The specific windows examined are the Christmas windows at retailer Saks Fifth Avenue Toronto in December of 2018. An autoethnographic research design is employed, resulting in an exploratory empirical analysis that serves as an entry into an under-represented area of study: the fashion window as an art object. The key findings of the project are the application of gestalt theory to the design of the windows and the researcher’s observations to suggest an explanation of the public’s response to the displays.

Non-periodic Space Structures

1987 ◽  
Vol 2 (2) ◽  
pp. 93-108 ◽  
Author(s):  
Haresh Lalvani
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Space Structures ◽  
Infinite Class ◽  
Space Filling ◽  
Higher Dimensional ◽  
Centrally Symmetric ◽  
Interesting Class ◽  
Periodic Space ◽  
Three Dimensional Space

An interesting class of two- and three-dimensional space structures can be derived from projections of higher-dimensional structures. Regular polygons and regular-faced polyhedra provide the geometry of families of n-stars from which two- and three-dimensional projections of n-dimensional grids can be derived. These projections are rhombic space grids composed of all-space filling rhombi and rhombohedra with edges parallel to n directions. An infinite class of single-, double- and multi-layered grids can be derived from n-sided polygons and prisms, and a finite class of multi-directional grids from the polyhedral symmetry groups. The grids can be periodic, centrally symmetric or non-periodic, and act as skeletons to generate corresponding classes of space-filling, packings and labyrinths.

Matter Tensors and Coordinate Transformations

1996 ◽  
Author(s):  
Gerhard Oertel
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Coordinate Transformations ◽  
Ordered Arrays ◽  
The Subject ◽  
Three Dimensional Space ◽  
Three Components

Vectors, the subject of the previous two chapters, may be classified as members of a class of mathematical entities called tensors, insofar as they can be expressed in the form of ordered arrays, or matrices, and insofar as they further conform to conditions to be explored in the present chapter. Tensors can have various ranks, and vectors are tensors of the first rank, which in three-dimensional space have 31 or three components. Much of this, and later, chapters deals with tensors of the second rank which in the same space have 32 or nine components. Tensors of higher (nth) rank do exist and have 3n components, and so do, at least nominally, tensors of zero rank with a single, or 30, component, which makes them scalars. Tensors of the second rank for three dimensions are written as three-by-three matrices with each component marked by two subscripts, which may be either letters or numbers.

The Fourth Dimension:

1931 ◽  
Vol 24 (1) ◽  
pp. 41-45
Author(s):  
Anice Seybold
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Fourth Dimension ◽  
Not Given ◽  
Actual Existence ◽  
The Subject ◽  
Three Dimensional Space

The idea of a fourth dimension seems to have about the same kind of fascination for the lay mind as the famous old problems of duplication of the cube, trisection of the angle, and quadrature of the circle had. Certain things which would follow if we could live in four dimensional space seem quite remarkable to one who has not given the subject enough thought to realize that the actual existence of such space would make it possible to draw four mutually perpendicular lines through a given point, whereas in three dimensional space we can draw only three. These apparent absurdities of four dimensional space appear absurd only when we try to make them conform to our three dimensional experience.

scholarly journals A Hierarchical Anti-Hebbian Network Model for the Formation of Spatial Cells in Three-Dimensional Space

2018 ◽  
Author(s):  
Karthik Soman ◽  
Srinivasa Chakravarthy ◽  
Michael M. Yartsev
Keyword(s):  
Network Model ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Grid Cell ◽  
Cognitive Maps ◽  
3D Space ◽  
Learning Rules ◽  
Higher Dimensional ◽  
New Type ◽  
Three Dimensional Space

AbstractThree dimensional (3D) spatial cells in the mammalian hippocampalformationare believed to support the existence of 3D cognitive maps. Modeling studies are crucial to comprehend the neural principles governing the formation of these maps, yet to date very few have addressed this topic in 3D space. Here, we present a hierarchical network model for the formation of 3D spatial cells using anti-hebbian network. Built on empirical data, the model accounts for the natural emergence of 3D place, border and grid-cells as well as a new type of previously undescribed spatial cell type which we call plane cells. It further explains the plausible reason behind the place and grid-cell anisotropic coding that has been observed in rodents and the potential discrepancy with the predicted periodic coding during 3D volumetric navigation. Lastly, it provides evidence for the importance of unsupervised learning rules in guiding the formation of higher dimensional cognitive maps.

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