书目名称 | Movements of Form |
编辑 | Joachim H. Mowitz,Arno L. Goudsmit |
视频video | |
概述 | Offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biology.Focuses on triangles and circles.Provides new insights into the processes that |
丛书名称 | Vision, Illusion and Perception |
图书封面 |  |
描述 | .This book offers a thought-provoking exploration of dynamic geometry and its connections to self-reference and theoretical biology. The authors explore how a self-referential boundary can be translated into remarkable relations between expanding geometrical forms, with a particular focus on triangles and circles..The essence of this work lies in revealing not only how these forms expand and interact with others but also how their interactions lead to closed loops of definitions between processes, where triangles and circles reciprocally define one another. These unique geometrical relations offer fresh perspectives on the interaction and emergence of forms. Through the introduction of time and a fixed velocity of expansions, a rich tapestry of encounters and coalescences unfolds, pushing beyond the boundaries of traditional insights on context dependence and state transitions of systems..These captivating movements elude prediction other than by numerical approximation within unpredictable durations. Unlike cellular automata, they defy stepwise progression on a predefined grid, presenting themselves as unprogrammable construction processes that leave readers in awe of their unexpe |
出版日期 | Book 2024 |
关键词 | Dynamic Geometry; Theoretical Biology; Relational Biology; Computational Geometry; Self-reference; Impred |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-031-44821-8 |
isbn_softcover | 978-3-031-44823-2 |
isbn_ebook | 978-3-031-44821-8Series ISSN 2365-7472 Series E-ISSN 2365-7480 |
issn_series | 2365-7472 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |