TWENTY-SIXTH ANNUAL MEETING. 



11 



In figure 54 a second harmonic hexagon is presented, which has all the 

 peculiai'ities ascribed to figure 51, and which is capable of the same number 



c^ty. cf-^ 



c?ig. tTSi 



of transpositions, one of which is shown in fig. 55, appearing like an alto- 

 gether different harmonic hexagon. 



In fig. 56 a third harmonic hexagon is shown, having the same peculiari- 



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ties and capable of the same transpositions as the other two, one of which is 

 shown in fig. 57. 



Figure 58 presents a fourth harmonic hexagon, with the same peculiarities 



•., J^ij. S 



and capable of the same transpositions as the others, one of which is shown in 

 fig. 59. 



This makes ninety-six harmonic hexagons, all having the same peculi- 

 arities as the hexagon in fig. 51, and equally harmonic in every respect. 



A harmonic hexagon of 37 places has not yet been constructed. A magic 

 hexagon of 37 places is presented in fig. GO, each row of which, in any direc- 



