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Convex Hull: A set of points and their convex hull. Add points by pushing the left mouse button, remove points with the right mouse button. Drag points around with the left button. The convex hull is maintained dynamically. The fat point is used as the center of the convex distance; see the explanation of the Bisector window.
Bisector: Two points in the plane and their bisector with respect to the convex distance generated by the convex polygon (unit circle) and the center point in the Convex Hull window. Translated copies of the polygon are also shown for both points. You can scale these polygons by dragging the button in the upper part of the window. Observe that the intersection of the "circles" always lies on the bisector and the bisector of two points is a polygonal chain with two rays at ends.
Autorin: Lihong.Ma@fernuni-hagen.de