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The toplevel applet allows you to choose which 6-Venn triangle diagrams to look at. There are 252 different pictures, two of each of the 126 solutions. Clicking on any of the arrows allows you to see the picture. In each row of the table we see the id number of the solution and information about the size of the two drawings. The final column indicates which pairs of solutions are isomorphic by swapping the central face and the outer face. Clicking on this picture (or reading on) gives more information about the navigation panel.
The Column HeadersClicking on some of the column headers will sort the table by that column:
ArrowsClicking on the arrows loads the selected diagram into the diagram viewer. If the reuse flag is checked in a current viewer then the current picture will be lost. IdAn arbitrary number, related to the order in which they were found. FullThe "full" picture is one optimised for seeing the whole diagram like this:
CentralThe central picture is optimised for seeing the central detail like this:
Note that while these two pictures are topologically equivalent (from a Venn diagram point of view), they do in fact look quite different. The central picture is quite distorted if zoomed right out:
SizeThe size of the picture gives an idea of how big the picture to be to achieve a constant clarity. Inner SizeThe size of the central detail of the picture when scaled to achieve the same constant clarity. IsomorphicSome pairs of pictures are graph isomoprhic, involving a projection of the central face of the diagram to infinity. The location of the corners of the triangles change. This column shows the pairing (if any). |
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