2010SSRN Electronic JournalOpen access

Multi-Dimensional Coordinate Spaces

Ruiz Estrada, Mario Arturo

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Abstract

This research will present a new group of multi-dimensional coordinate spaces. These coordinate spaces are available to visualize the behavior of dynamic and complex natural or social phenomena in the same graphical space and time. Additionally, this paper is divided into two parts. The first part gives a short review about dimension and coordinate systems (Cartesian plane and coordinate space). The second part will introduce nine multi-dimensional coordinate spaces: (i) pyramidal coordinate space; (ii) diamond coordinate space; (iii) 4-dimensional coordinate space (vertical position and horizontal position); (iv) 5-dimensional coordinate space (vertical position and horizontal position); (v) infinity dimensional coordinate space under general and specific approach; (vi) inter linkage coordinate space; (vii) cube wrap coordinate space; (viii) mega surface coordinate space; (ix) cubes coordinate space.

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What this paper is about

This research will present a new group of multi-dimensional coordinate spaces. These coordinate spaces are available to visualize the behavior of dynamic and complex natural or social phenomena in the same graphical space and time. Additionally, this paper is divided into two parts. The first part gives a short review about dimension and coordinate systems (Cartesian plane and coordinate space). The second part will introduce nine multi-dimensional coordinate spaces: (i) pyramidal coordinate space; (ii) diamond coordinate space; (iii) 4-dimensional coordinate space (vertical position and horizontal position); (iv) 5-dimensional coordinate space (vertical position and horizontal position); (v) infinity dimensional coordinate space under general and specific approach; (vi) inter linkage coordinate space; (vii) cube wrap coordinate space; (viii) mega surface coordinate space; (ix) cubes coordinate space.

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Available abstract

This research will present a new group of multi-dimensional coordinate spaces. These coordinate spaces are available to visualize the behavior of dynamic and complex natural or social phenomena in the same graphical space and time. Additionally, this paper is divided into two parts. The first part gives a short review about dimension and coordinate systems (Cartesian plane and coordinate space). The second part will introduce nine multi-dimensional coordinate spaces: (i) pyramidal coordinate space; (ii) diamond coordinate space; (iii) 4-dimensional coordinate space (vertical position and horizontal position); (iv) 5-dimensional coordinate space (vertical position and horizontal position); (v) infinity dimensional coordinate space under general and specific approach; (vi) inter linkage coordinate space; (vii) cube wrap coordinate space; (viii) mega surface coordinate space; (ix) cubes coordinate space.

Key concepts: Coordinate space, Coordinate system, Ellipsoidal coordinates, Position (finance), Cartesian coordinate system, Space (punctuation), Elliptic coordinate system, Spherical coordinate system

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