Open AccessLinear Algebra Representation of Necker Cubes I: The Crazy Crate
Author(s) -
Chris Mortensen,
Steve Leishman
Publication year - 2009
Publication title -
australasian journal of logic
Language(s) - English
Resource type - Journals
ISSN - 1448-5052
DOI - 10.26686/ajl.v7i0.1803
Subject(s) - crate , class (philosophy) , representation (politics) , algebra over a field , mathematics , linear algebra , pure mathematics , computer science , artificial intelligence , geometry , engineering , mechanical engineering , politics , law , political science
We apply linear algebra to the study of the inconsistent figure known as the Crazy Crate. Disambiguation by means of occlusions leads to a class of sixteen such figures: consistent, complete, both and neither. Necessary and sufficient conditions for inconsistency are obtained.