Pattern Variants on a Square Field  

Oleh:

Prokhovnik, S. J.

Jenis: Article from Journal - e-Journal
Dalam koleksi: Psychometrika: A Journal of Quantitative Psychology vol. 24 no. 4 (Dec. 1959), page 329-341.
Topik: Problem in Terms of Postulates; Preliminary Theorem; Ratio of Symmetric to Total Number of Patterns
Fulltext: 2404_1006.pdf (444.35KB)

Isi artikel

A quantitative approach to the psychology of pattern recognition requires knowledge of the number of possible variants of any particular pattern. The general solution for the number [p/m 2] of pattern variants thatp counters can form on a square network ofm 2 positions is obtained by elementary group theory. The exact solution is given in terms of the different types (symmetric, asymmetric, etc.) of patterns possible and an approximate formula for the total number of patterns is also developed.

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