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Studies of Euler diagrams/tavoku

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dummy

This 3-ary Boolean function has 5 of 8 true spots.
The representations here are inflated with the argument C, so that it looks like a 4-ary Boolean function.

In this inflated form it has these relationshipts:

  • It is inflated barogi without spots 8 and 12.
  • Without spot 0 it becomes tinora.
  • Without spots 0, 2, 6 it becomes dagoro


2D Euler diagram
3D Euler diagram

filtrates

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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

A

B

C

D

cells

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bottom
3      AB__
1      A___
10      _B_D
2      _B__
0      ____