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082 0 4 _a515.39
_223
100 1 _aMowitz, Joachim H.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aMovements of Form
_h[electronic resource] /
_cby Joachim H. Mowitz, Arno L. Goudsmit.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXV, 107 p. 82 illus., 77 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
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347 _atext file
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490 1 _aVision, Illusion and Perception,
_x2365-7480 ;
_v6
505 0 _aIntroductory 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.
520 _aThis 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. "What is unique to the authors' attempt is to shed a new light on extending the notion of cohesive interaction so as to make it applicable even to biology at large without offending the established physics so far. To the best of my knowledge, their work has been the first attempt of this kind in explicating the intricate relationship between geometric topology of the network and the realizable temporal cohesion to be observed widely in biology." (Professor Koichiro Matsuno, 1st foreword to this book) "I am delighted that the authors use Robert Rosen's (M,R)-systems - impredicative networks that are inherently geometrical - to illustrate (see Chapter 4 of this book) their self-referential systems of geometrical expansions." (dr. Aloisius Louie, 2nd foreword to this book).
541 _fUABC ;
_cPerpetuidad
650 0 _aDynamics.
650 0 _aNonlinear theories.
650 0 _aEngineering mathematics.
650 0 _aEngineering
_xData processing.
650 0 _aSystem theory.
650 0 _aGraphic arts.
650 0 _aArts.
650 0 _aControl engineering.
650 1 4 _aApplied Dynamical Systems.
650 2 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aComplex Systems.
650 2 4 _aGraphic Design.
650 2 4 _aArts.
650 2 4 _aControl and Systems Theory.
700 1 _aGoudsmit, Arno L.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031448201
776 0 8 _iPrinted edition:
_z9783031448225
776 0 8 _iPrinted edition:
_z9783031448232
830 0 _aVision, Illusion and Perception,
_x2365-7480 ;
_v6
856 4 0 _zLibro electrónico
_uhttp://libcon.rec.uabc.mx:2048/login?url=https://doi.org/10.1007/978-3-031-44821-8
912 _aZDB-2-ENG
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