How to Move a Chair Through a Door

Cover How to Move a Chair Through a Door
How to Move a Chair Through a Door
Chee K Yap
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2. Preliminaries In this paper, we want to refer to a 'physical' chair (a polygonal body) moving in the plane: by 'physical' we mean that the chair is a geometric figure that has no fixed or instantiated position in the plane. I'o make this idea precise, we must distinguish between two coordinate systems (or 'frames of reference'): the standard frame and the actual frame. Points in standard (resp, actual) frame will be designated as standard (resp. Actual) points.
A chair (or bodv) fl is a comp
...act set of standard points whose boundary S{B) is a simple closed polygonal path. Throughout this paper, we fix some arbitrary B and let n be the number of corners of B. Typically but not necessarily, the origin of the standard frame is a point in B. . Note that in general, if we treat several bodies then each body must be given its own standard frame.
It IS important to note that there are only conceptual but no formal distinctions between the standard and actual points However, we do not mix concepts from the r^vo frames.


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