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- W3090575194 abstract "The human being has the need to represent the objects that surround him. But the world around us constitutes a three-dimensional reality and the formats in which it is represented are two-dimensional. Then the problem arises of representing on paper, which has two dimensions, any object immersed in a space that has three dimensions. In response to the problem, the Descriptive Geometry and the Representation Systems are born. The representation systems are a set of operations that allow make projections of objects immersed in three-dimensional space on a plane that is usually the role of drawing. A class of these systems are those obtained from axonometric projections of (mathbb {R}^{3}) to (mathbb {R}^{2}) based on Pohlke’s theorem and widely used in the vast majority of scientific texts. In this paper it is proposed to build axonometric projections from (mathbb {R}^{4}) to (mathbb {R}^{3}) to obtain projections of objects immersed in the four-dimensional space on a 3D hyperplane. To visualize the results, a new package encoded in the Maxima open source software will be used." @default.
- W3090575194 created "2020-10-08" @default.
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- W3090575194 date "2020-01-01" @default.
- W3090575194 modified "2023-09-27" @default.
- W3090575194 title "New Package in Maxima to Build Axonometric Projections from $$mathbb {R}^{4}$$ to $$mathbb {R}^{3}$$ and Visualize Objects Immersed in $$mathbb {R}^{4}$$" @default.
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- W3090575194 doi "https://doi.org/10.1007/978-3-030-58820-5_60" @default.
- W3090575194 hasPublicationYear "2020" @default.
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