Studies of Euler diagrams/vidita
Appearance
This 4-ary Boolean function has 10 of 16 true spots. It is a gap variant of medusa (see here).
symmetry |
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This code uses the Python library discrete helpers. from discretehelpers.boolf.examples import vidita
assert vidita.symmetric_spots.blocks_with_singletons() == [[0], [2, 4], [3, 5, 10, 12], [6], [7, 14]]
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2D Euler diagrams | |||
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vidute (similar diagram with 3 pills) | ||
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The following example shows, that the approaches shown above are too rigidly geometric to be generally useful.
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filtrates
[edit | edit source]Each of the 6 pairs is a 2-split (with all 4 quadrants). Only one of the 4 triples is a 3-split (with all 8 octants).
4 sets | |||
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A |
B |
C |
D |
6 pairs | |||||
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A B |
A C |
A D |
B C |
B D |
C D |
4 triples | |||||
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A B C 7 cells |
A B D 6 cells |
A C D 6 cells |
B C D 7 cells |
cells
[edit | edit source]middle | ||
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top or bottom (either blue or green) | ||
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