. Mathematical recreations and essays. Mathematical recreations; Geometry; Bees; Cryptography; Ciphers; String figures; Magic squares. Figure B. Figure G. Figure D. Let us denote the number of ways of describing figure B by b, of describing figure G by c, and so on. The effect of suppressing the node 0 in the pentagon A is to give us three quadrilaterals, B, G, D. And, in the above notation, we have a = b + c + d. Take any one of these quadrilaterals, for instance D. We can suppress the node 1 in it by coupling the four paths which meet there in pairs. If we couple 1 2 with the upper of the pa


. Mathematical recreations and essays. Mathematical recreations; Geometry; Bees; Cryptography; Ciphers; String figures; Magic squares. Figure B. Figure G. Figure D. Let us denote the number of ways of describing figure B by b, of describing figure G by c, and so on. The effect of suppressing the node 0 in the pentagon A is to give us three quadrilaterals, B, G, D. And, in the above notation, we have a = b + c + d. Take any one of these quadrilaterals, for instance D. We can suppress the node 1 in it by coupling the four paths which meet there in pairs. If we couple 1 2 with the upper of the paths 14, as also 13 with the lower of the paths 1 4, we get. Please note that these images are extracted from scanned page images that may have been digitally enhanced for readability - coloration and appearance of these illustrations may not perfectly resemble the original Ball, W. W. Rouse (Walter William Rouse), 1850-1925. London, Macmillan


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Keywords: ., bookcentury1900, bookdecade1920, booksubjectgeometry, bookyear192