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Titlebook: ICGG 2020 - Proceedings of the 19th International Conference on Geometry and Graphics; Liang-Yee Cheng Conference proceedings 2021 The Edi

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Perspective and Illusion in Four-Dimension: Droste-Effect in Four-Dimension Based on Escher’s Worke, with reference to the Escher Grid that is inherent in Escher’s work “Print Gallery”. Considering that Escher Grid is two-dimensional, it is conjectured that the grid itself that creates the Droste-effect for a four-dimensional person can be created in a three-dimensional space. Since the grid can
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Geometry and Proportion: Materialization of an Architectural Carpentry Project buildings. Focusing on the carpentry works for creating building roofs in the Spanish territory, from the VIII century onwards we can find two types of carpentry: Muslim and Castilian. The architectural influences between these two types of woodworkers originated a new solution for interlaced frame
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Factorization of Locus Polynomials Using DGSals over the field of . numbers are implemented in most mathematical software usually by the command .. We can also use commands on factorization of polynomials over some extension of the field of rational numbers, for instance command . in Maple. Factorization over real or complex numbers is much m
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A Spatial Generalization of Wallace–Simson Theorem on Four Lines if and only if the point . belongs to the circumcircle of the triangle given by these three lines. 3D generalization of the Wallace–Simson theorem might be as follows: Determine the locus of the point . such that feet of normals from . to . straight lines in three dimensional Euclidean space are co
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The M-Points Related to the Perfect Circles in Any Triangle ABC as the Next Points Lying on the Genee . in the triangle . are the family of circles beginning at the Fermat-point (. = 0), coming through the incircle (. = .) and ending on the circumcircle (. = .). The centers of these circles lie on the locus (called here as .-curve), which is continuous and differentiable. The function of .-curve i
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