File:Foibles of Boolean functions.svg

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The parity related qualities of Boolean functions as vertices of a Fano plane

When three qualities are on the same line of the Fano plane, each of them is the XOR of the other two.
(The Fano plane has seven lines.)

The two strong edges mark twins. The others are their own twins.
I.e. an odious Boolean function has a sharp twin. The twin of an odd one is also odd.
See v:Equivalence classes of Boolean functions.

Compare Quadrant colors in hypercube matrices (image set)

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Watchduck
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current23:52, 26 December 2023Thumbnail for version as of 23:52, 26 December 2023611 × 544 (30 KB)WatchduckUploaded own work with UploadWizard

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