On the theory of the periodic structure of proteins

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Abstract
The application of the mathematical theory of congruence to a study of the structure of proteins shows the numerical conditions which must be fulfilled by a regular periodic structure and leads to a simple diagrammatic method of testing which may be applied even to complex structures, provided that complete analytical data are available. Fulfillment of the conditions shows only that the data are consistent with regularity, which further evidence is needed to prove. There emerges from the mathematical treatment no suggestion that the integers 2 and 3 hold any unique position as prime factors in the structure of a regular array of the type considered. If the hypotheses of Bergmann and Niemann should be proved to be correct, whether for proteins or for their sub-units, deeper insight into the structure and mode of formation of proteins will be needed to explain them.

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