Abstract:
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An important issue in dynamic geometry is the reachability problem that
asks whether there is a continuous path that, from a given starting geometric
configuration, continuously leads to an ending configuration. In this work we report
on a technique to compute a continuous evaluation path, if one exists, that solves
the reachability problem for geometric constructions with one variant parameter.
The technique is developed in the framework of a constructive geometric constraintbased
dynamic geometry system, uses the A∗ algorithm and minimizes the variant
parameter arc length. |