■ドローネー集合(その34)

w=(√3-1)=[0:1,2,1,2,・・・]

1-w=(2-√3)=[0:1,0,2,1,2,・・・]=[0:3,1,2,・・・]

を検算。

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  2-√3=0+1/(2+√3)

    =0+1/(3+√3-1)

    =0+1/{3+1/(√3+1)/2}

    =0+1/{3+1/(1+(√3-1)/2)}

    =0+1/{3+1/(1+1/(√3+1)}

    =0+1/{3+1/(1+1/(2+√3-1)}

    =0+1/{3+1/{1+1/{2+1/(√3+1)/2)

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