Autoreference and magnetization in dynamic geometry

I.1. Introduction to autoreference of points

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Yves Martin - University of La Réunion

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

ICTMT9, Metz, July 8, 2009

Determinism in dynamic geometry, by its search for internal coherence, means that figures always show the present time and cannot contain any history of manipulations by a user. However one may wish, for dynamic illustrations, to keep a trace of these manipulations.

Let us consider the archetypical example of a cursor that would retain the minimum position of a point M on a line when it is handled.

Such a point Min cannot remain at its minimum position in a completely deterministic situation, but may do so if this point can be defined recursively.

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