Category:Studies of Euler diagrams; dukeli NP (set of 384 images)

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Each Euler diagram is denoted by a signed permutation of four elements, i.e. an element of the hexadecachoric group.
above the mirrored diagrams of dukeli,
below those of its complement
(~0, ~1, 3, 2)
(~3, ~1, 2, 0)
The permutations are different, i.e. the circles have different colors (except the green one). The negators are in the same places, i.e. in the two left circles the spikes point to the outside.
(~2, 3, ~1, 0)
(2, ~3, 1, 0)
The permutations are the same, i.e. the circles have the same colors. The negators are in different places, i.e. the spikes point in different directions (except in the red circle).

These are 16 · 24 = 384 Euler diagrams of Boolean functions in the same clan.
The truth table corresponding to diagram (m, n) can be found in row m of matrix n in this file.

Each diagram has a mirrored equivalent describing the same function. So the clan contains only 192 functions.
It contains also the complementary functions, which makes it a super-clan.

See v:Studies of Euler diagrams/dukeli NP.

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