Studies of Euler diagrams/gap variants
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![](//upload.wikimedia.org/wikipedia/commons/thumb/d/dc/EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41a.svg/400px-EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41a.svg.png)
![](//upload.wikimedia.org/wikipedia/commons/thumb/c/ce/EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41b.svg/400px-EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41b.svg.png)
![](//upload.wikimedia.org/wikipedia/commons/thumb/3/35/EuDi%3B_niliko_simple.svg/150px-EuDi%3B_niliko_simple.svg.png)
In all these examples some spots of a gapless function are changed from true to false. This often requires a redrawing of the Euler diagram.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/d/dc/EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41a.svg/400px-EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41a.svg.png)
![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/ce/EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41b.svg/400px-EuDi%3B_batch_1%3B_patterns_and_Euler_BEC_41b.svg.png)
Euler diagram and truth tables
shape changed after removing dark gray cells
![](http://upload.wikimedia.org/wikipedia/commons/thumb/3/35/EuDi%3B_niliko_simple.svg/150px-EuDi%3B_niliko_simple.svg.png)
5x5 circles (part of hard and soft)