BOX ANALYZER CANVAS

This window allows the user to trace through the calculations made by our plotter when it runs the Elimination Algorithm. This algorithm is used to decide if a given dyadic square Q is contained in the orbit tile O(W), where W is a given word. You can read about this algorithm in the documentation for the plotter. In brief, the elimination algorithm starts with two lists of vertices, TOP and BOT. Here TOP is the list of vertices which run across the top of the unfolding and BOT is the list of vertices which run along the button. The elimination algorithm then considers the defining functions for these vertices. There are 3 stages to the algorithm Here is an explanation of the display: DISPLAYING MATCHES

If you click on one of the dominoes you can see the corresponding match. This means that So far we have explained how to display the tournament matches by clicking on the dominoes. You can display a playoff match by clicking on a light blue square and a dark blue square. This pairs off 2 tournament winners. All the remarks above now apply in this case.

There is one variant which needs to be discussed. You can also select a chopped dyadic square which intersects the boundary of the orbit tile. In this case, what happens for the playoff matches is different: The quadrant algorithm is used to show that all the defining functions, associated to the playoffs, are of mixed sign on the dyadic square. This is discussed in detail in the documentation for the Fill mode of the plotter.

There are 3 additional buttons in this window. Here is their function: