When capturing a QR code on a cylinder, there may be geometric distortions due to the angle of the camera and the cylindrical deformation, which makes the QR code difficult to recognize. To solve ...this problem, a correction algorithm for QR codes is proposed in this paper. First, the boundary of the QR code on the cylinder is extracted by a morphological algorithm and geometry calculations. Then, the feature points on the image are accurately located. Next, the standard size of the QR code is determined by using the cross-ratio method in descriptive geometry. Finally, the image is corrected by perspective projection. It is proven that the algorithm can correct the distortion of the cylinder image effectively, and it has the ability to properly identify cylindrical QR codes.
The concept of Metatron's Cube, which is rooted in Sacred Geometry for centuries, is believed to contain the projections of all Platonic Solids. While Metatron's Cube inherently manifests as a two ...dimensional geometric form, this study incorporates its three-dimensional counterpart delving into the relationship between this sacred symbol and the Platonic Solids. The primary objective is to ascertain the viability of constructing the five Platonic Solids exclusively through their Metatron's Cube projections by experimenting in the fields of descriptive geometry and geometry in general. The experimentation strategically emphasizes simplicity and feasibility, seeking to unveil potential methodologies for constructing these Platonic Solids via the projections engendered by Metatron's Cube. Through the establishment of a connection between theoretical frameworks and practical applications, the study aims to contribute valuable insights into alternative and probably easier and more accessible methods of constructing Platonic Solids, particularly within the context of architectural design. This research represents a valuable stride in enhancing our understanding of ancient geometric concepts and their potential applications in contemporary architectural practices.
Descriptive Geometry is a fundamental aspect of technical drawing, critical in engineering, architecture, and design disciplines. This article explores the application of TikZ Euclide, a versatile ...tool for LaTeX writing language, in simplifying the understanding and implementation of Descriptive Geometry. Through simple examples, this article aims to demonstrate the potential and power of TikZ Euclide in visualizing and constructing geometric figures, fostering a clearer comprehension of Descriptive Geometry principles.
Descriptive Geometry is a fundamental aspect of technical drawing, critical in engineering, architecture, and design disciplines. This article explores the application of TikZ Euclide, a versatile ...tool for LaTeX writing language, in simplifying the understanding and implementation of Descriptive Geometry. Through simple examples, this article aims to demonstrate the potential and power of TikZ Euclide in visualizing and constructing geometric figures, fostering a clearer comprehension of Descriptive Geometry principles.
Architecture connects science and art. Thus, the student from the Faculty of Architecture and Urbanism manifests himself as a creative being, capable of accumulating new information from various ...fields related to architecture, processing them, capitalizing on them and finally, through the result of creation, enriching the built environment. In their projects, technical thinking and various constructive systems are used, which are based on the training of three-dimensional thinking through descriptive geometry. This paper presents how geometric knowledge is applied in various projects within the disciplines studied at the Faculty of Architecture and Urbanism, Cluj-Napoca.
Architecture connects science and art. Thus, the student from the Faculty of Architecture and Urbanism manifests himself as a creative being, capable of accumulating new information from various ...fields related to architecture, processing them, capitalizing on them and finally, through the result of creation, enriching the built environment. In their projects, technical thinking and various constructive systems are used, which are based on the training of three-dimensional thinking through descriptive geometry. This paper presents how geometric knowledge is applied in various projects within the disciplines studied at the Faculty of Architecture and Urbanism, Cluj-Napoca.
The concept of Metatron's Cube, which is rooted in Sacred Geometry for centuries, is believed to contain the projections of all Platonic Solids. While Metatron's Cube inherently manifests as a two ...dimensional geometric form, this study incorporates its three-dimensional counterpart delving into the relationship between this sacred symbol and the Platonic Solids. The primary objective is to ascertain the viability of constructing the five Platonic Solids exclusively through their Metatron's Cube projections by experimenting in the fields of descriptive geometry and geometry in general. The experimentation strategically emphasizes simplicity and feasibility, seeking to unveil potential methodologies for constructing these Platonic Solids via the projections engendered by Metatron's Cube. Through the establishment of a connection between theoretical frameworks and practical applications, the study aims to contribute valuable insights into alternative and probably easier and more accessible methods of constructing Platonic Solids, particularly within the context of architectural design. This research represents a valuable stride in enhancing our understanding of ancient geometric concepts and their potential applications in contemporary architectural practices.