Diagrammatic Interrelationships between Global and Local Algebraic Visual Objects: Communicating the Visual Abstraction

  • Julie Tolmie
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5223)


This poster considers mathematical diagrams composed of algebraic visual objects where the role of words and symbols has been explicitly removed with the intention of (re)assigning that role to visual object. Interrelationships between global and local algebraic visual objects become the working abstraction in the space, but challenge text. This transposition is juxtaposed against the historical parallel of early western musical notation, the music as language vs. music as space conflict targeted in the Papal Bull of 1324-25.


visual object visualisation diagrammatic notation map immersion 


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    Bourbaki, N.: Éléments de mathématiques, théorie des ensembles, Herman Paris: France pp Introduction (1954)Google Scholar
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    Tolmie, J.: Map of curve segment notation (2001),
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    Tolmie, J.: Visualisation, Navigation and Mathematical Perception: a visual notation for Rational numbers mod1, Ph.D dissertation (pdf file, embedded animation) (2000)Google Scholar
  4. 4.
    Tolmie, J.: Soundfile (2000),
  5. 5.
    For example see Goldberg The Early Music Portal, The School of Notre Dame,
  6. 6.
    Dufourt, H.: Musique, mathesis, et crises de l’antiquité à l’age classique. In: Mathématiques et Art, Colloque, September 2-9, 1991, p. 169. Hermann, Paris (1995) (My translation) Google Scholar
  7. 7.
    Ibid. at pp.171-172 (My translation)Google Scholar
  8. 8.
    1324-25 Decree of Jean XXII in Munrow David (1976) Music of the Gothic Era, notes accompanying CD Music of the Gothic Era, The Early Music Consort of London, p.18 (1976)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • Julie Tolmie
    • 1
  1. 1.Centre for Computing in the HumanitiesKing’s College LondonUK

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