Studies of Euler diagrams/gap variants/basiga

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dummy

gapless base basiga

Example basiga with some fullspots replaced by gapspots.

blightless[edit | edit source]

Most Euler diagrams in this section (except doguva) require redrawing. It is shown for only two of them.
Blightless means, that no two sets are equal or complements, and that no set is empty or the universe.

tomute

compare filtrate vanatu  
vumali
sarina

The diagram above can be seen as a cut through intersecting ellipsoids. As a 2D diagram it is not good, because each of the two green borders (0→2 and 8→10) appears more than once. The problem is not fully avoided in the variant below. If A or C were removed, the outer bundle could be drawn as 2×3 grid.

blighted[edit | edit source]

only bloated[edit | edit source]

In these examples some sets are equal or complements, which means that only one of them is shown in the redrawn diagram.

futare
Unbloating involves the choice which atoms to keep. In this diagram B is chosen over E, and A over C and D.

topological shape without choices (left), E chosen over B (right)

bloated and blotted[edit | edit source]

In these examples set B is the universe, and set F is empty, which means that both are removed. The removed sets are only indicated by an outlined (rather than solid) letter, but they are not part of the binary labels.

duvola
As above, but spot 2 is false. This makes D the complement of A and C.