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  1.  46
    Parity Proofs of the Bell-Kochen-Specker Theorem Based on the 600-Cell.Mordecai Waegell, P. K. Aravind, Norman D. Megill & Mladen Pavičić - 2011 - Foundations of Physics 41 (5):883-904.
    The set of 60 real rays in four dimensions derived from the vertices of a 600-cell is shown to possess numerous subsets of rays and bases that provide basis-critical parity proofs of the Bell-Kochen-Specker (BKS) theorem (a basis-critical proof is one that fails if even a single basis is deleted from it). The proofs vary considerably in size, with the smallest having 26 rays and 13 bases and the largest 60 rays and 41 bases. There are at least 90 basic (...)
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  2.  98
    Isomorphism Between the Peres and Penrose Proofs of the BKS Theorem in Three Dimensions.Elizabeth Gould & P. K. Aravind - 2010 - Foundations of Physics 40 (8):1096-1101.
    It is shown that the 33 complex rays in three dimensions used by Penrose to prove the Bell-Kochen-Specker theorem have the same orthogonality relations as the 33 real rays of Peres, and therefore provide an isomorphic proof of the theorem. It is further shown that the Peres and Penrose rays are just two members of a continuous three-parameter family of unitarily inequivalent rays that prove the theorem.
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  3.  16
    Parity Proofs of the Kochen–Specker Theorem Based on the 120-Cell.Mordecai Waegell & P. K. Aravind - 2014 - Foundations of Physics 44 (10):1085-1095.
    It is shown how the 300 rays associated with the antipodal pairs of vertices of a 120-cell (a four-dimensional regular polytope) can be used to give numerous “parity proofs” of the Kochen–Specker theorem ruling out the existence of noncontextual hidden variables theories. The symmetries of the 120-cell are exploited to give a simple construction of its Kochen–Specker diagram, which is exhibited in the form of a “basis table” showing all the orthogonalities between its rays. The basis table consists of 675 (...)
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  4.  17
    Parity Proofs of the Kochen-Specker Theorem Based on the 24 Rays of Peres.Mordecai Waegell & P. K. Aravind - 2011 - Foundations of Physics 41 (12):1786-1799.
    A diagrammatic representation is given of the 24 rays of Peres that makes it easy to pick out all the 512 parity proofs of the Kochen-Specker theorem contained in them. The origin of this representation in the four-dimensional geometry of the rays is pointed out.
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