File:Boolean functions like 1110 1000.svg

Summary

Description

This is one of 46 small equivalence classes of 3-ary Boolean functions.


They are represented in various ways, especially as bit patterns, colored cubes (i.e. Hasse diagrams) and Venn diagrams ( ).


Below the cubic arrangement the bit patterns are repeated in an 8×8 sec matrix.
On the left the position of the functions is shown in a 16×16 matrix and on the right in an octeract Hasse diagram.

16×16 matrix in diamond orientation
Octeract Hasse diagram


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Watchduck
You can name the author as "T. Piesk", "Tilman Piesk" or "Watchduck".
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Public domain I, the copyright holder of this work, release this work into the public domain. This applies worldwide.
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Category:Self-published work#Boolean%20functions%20like%201110%201000.svgCategory:PD-self#Boolean%20functions%20like%201110%201000.svg
Other versions A previous version of this diagram has been used as title illustration for a Seed Magazine article about C. P. Snows Two Cultures lecture
- probably to illustrate a cold rationalistic way of thinking, inaccessible to any true human.
Category:3-ary Boolean functions; small equivalence classes; cubes
Category:3-ary Boolean functions; small equivalence classes; cubes Category:PD-self Category:Self-published work Category:Uploaded with Commonist