Styled Morphogeometry

Abstract

The paper presents analysis of form (morphology) in different domains (biology, art, mathematics, experimental phenomenology, and philosophy). It draws on the commonalities and their potential unified classifications based on how forms subjectively appear in perception—as opposed to their standard specification in Euclidean geometry or other objective quantitative methods. The paper provides an overview aiming to offer elements for thought for researchers in various fields.

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Notes

  1. 1.

    The term ‘form’ is to mean ‘perceived shape,’ and should be clearly distinguished from ‘shape’ intended as summative result of individual metric cues.

  2. 2.

    The term ‘unit’ is to mean ‘geometrical perceived element,’ and should be clearly distinguished from ‘feature of optical structure’. In the study, element and unit are used as synonyms.

  3. 3.

    The term ‘invariant’ is to mean ‘form invariant’. It is not to mean ‘formless invariant’ (invariant of structure) as in the ecological theory of perception.

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Acknowledgements

I thank Alessandro Minelli, Gabor Domokos, Osvaldo da Pos, Roberto Poli, and an anonymous reviewer for their fruitful comments.

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Albertazzi, L. Styled Morphogeometry. Axiomathes 30, 227–250 (2020). https://doi.org/10.1007/s10516-019-09438-x

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Keywords

  • Art
  • Biology
  • Consciousness
  • Form
  • Geometry
  • Invariants
  • Morphology
  • Nature