Human navigation in curved spaces
Sign Up to like & getrecommendations! Published in 2022 at "Cognition"
DOI: 10.1016/j.cognition.2021.104923
Abstract: Navigation and representations of the spatial environment are central to human survival. It has often been debated whether spatial representations follow Euclidean principles, and a number of studies challenged the Euclidean hypothesis. Two experiments examined… read more here.
Keywords: space; curved spaces; euclidean geometry; geometry ... See more keywords
Performance-based design optimization for minimal surface based form
Sign Up to like & getrecommendations! Published in 2018 at "Architectural Science Review"
DOI: 10.1080/00038628.2018.1523130
Abstract: ABSTRACT Currently, many studies are being done using optimization tools. However, optimization studies done with complex geometry are limited. Even so, the move toward complex geometric forms is a feature in the world of contemporary… read more here.
Keywords: minimal surface; form; euclidean geometry; geometry ... See more keywords
Topological Hyperbolic Lattices.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.125.053901
Abstract: Non-Euclidean geometry, discovered by negating Euclid's parallel postulate, has been of considerable interest in mathematics and related fields for the description of geographical coordinates, Internet infrastructures, and the general theory of relativity. Notably, an infinite… read more here.
Keywords: non euclidean; geometry; topological hyperbolic; hyperbolic lattices ... See more keywords
Euclid's Random Walk: Developmental Changes in the Use of Simulation for Geometric Reasoning
Sign Up to like & getrecommendations! Published in 2022 at "Cognitive science"
DOI: 10.1111/cogs.13070
Abstract: Euclidean geometry has formed the foundation of architecture, science, and technology for millennia, yet the development of human's intuitive reasoning about Euclidean geometry is not well understood. The present study explores the cognitive processes and… read more here.
Keywords: euclidean geometry; children adults; geometry; walk developmental ... See more keywords
Learning trajectory of non-Euclidean geometry through ethnomathematics learning approaches to improve spatial ability
Sign Up to like & getrecommendations! Published in 2023 at "Eurasia Journal of Mathematics, Science and Technology Education"
DOI: 10.29333/ejmste/13269
Abstract: Non-Euclidean geometry is an abstract subject and difficult to learn, but mandatory for students. The ethnomathematics approach as a learning approach to improve students’ spatial abilities. The aim of this research is to discover new… read more here.
Keywords: spatial ability; spatial abilities; learning trajectory; geometry ... See more keywords