000 04952nam a22006855i 4500
001 978-3-031-44821-8
003 DE-He213
005 20251030111428.0
007 cr nn 008mamaa
008 240216s2024 sz | s |||| 0|eng d
020 _a9783031448218
_9978-3-031-44821-8
024 7 _a10.1007/978-3-031-44821-8
_2doi
050 4 _aTA352-356
050 4 _aQC20.7.N6
072 7 _aTBJ
_2bicssc
072 7 _aGPFC
_2bicssc
072 7 _aSCI064000
_2bisacsh
072 7 _aTBJ
_2thema
072 7 _aGPFC
_2thema
100 1 _aMowitz, Joachim H.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971092
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
_2rdacarrier
347 _atext file
_bPDF
_2rda
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).
650 0 _aDynamics.
_965524
650 0 _aNonlinear theories.
_965525
650 0 _aEngineering mathematics.
_964145
650 0 _aEngineering
_xData processing.
650 0 _aSystem theory.
_966519
650 0 _aGraphic arts.
_967280
650 0 _aArts.
_965405
650 0 _aControl engineering.
650 1 4 _aApplied Dynamical Systems.
_965530
650 2 4 _aMathematical and Computational Engineering Applications.
650 2 4 _aComplex Systems.
_966520
650 2 4 _aGraphic Design.
_967281
650 2 4 _aArts.
_965405
650 2 4 _aControl and Systems Theory.
_965868
700 1 _aGoudsmit, Arno L.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_971093
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
_971094
856 4 0 _uhttps://doi.org/10.1007/978-3-031-44821-8
912 _aZDB-2-ENG
912 _aZDB-2-SXE
999 _c57659
_d57659