Autoreference and magnetization in dynamic geometry

III.5 Algebric magnetism and determinism

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Yves Martin - University of La Réunion

Laboratory of Computer Science and Mathematics (LIM, EA 2525)

ICTMT9, Metz, July 8, 2009

Tetrahedron model of the smallest projective space

Before addressing the question of determinism and magnetization, let us have a look at two figures to tackle this model..

Subplanes of PG(3,2)

Third break of determinism in a dynamic geometry by magnetization - Example on the spreads of PG(3,2)

Up till now all the coefficients of magnetization were numerical. However they can also be mathematical functions depending on various parameters of the figure. We can then produce figures which break the initial determinism of the software in another way as we did with the auto-reference of points.

Another example of this break in a more simple situation at the end of this article (in French).

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