| Description |
1 online resource (xv, 107 pages) : illustrations (some color) |
| Series |
Vision, illusion and perception, 2365-7480 ; volume 6 |
|
Vision, illusion and perception, 2365-7480 v. 6
|
| Contents |
Introductory remarks -- A self-referential boundary -- Expanding forms: the geometrical representation -- The geometrical expansions as a relational network -- The geometrical representation and its computability -- Conclusion -- References |
| Summary |
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 unexpected elegance. This book is essential reading for researchers and students in theoretical biology seeking to deepen their understanding of the intersections of geometry and systems theory and seeking to gain new insights into the processes that underlie the origination of complexity |
| Bibliography |
Includes bibliographical references |
| Notes |
Online resource; title from PDF title page (SpringerLink, viewed February 28, 2024) |
| Subject |
Geometry.
|
|
Biological systems -- Mathematics
|
|
Systems biology.
|
|
geometry.
|
| Genre/Form |
Electronic books
|
| Form |
Electronic book
|
| Author |
Goudsmit, Arno L., author.
|
| ISBN |
9783031448218 |
|
3031448219 |
|
