Conditions 1–6 imply condition 7

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Let UU be the constructed polygonal surface and let conditions 1–7 be the preceding geometric and arithmetic conditions imposed in the construction of a sail for a periodic continued fraction. Conditions 1–6 conjecture. Conditions 1–6 imply condition 7. This is presented as an important conjecture in the paper and concerns the sufficiency of the preceding conditions for the construction.

References

Primary source

O. Karpenkov, “Constructing multidimensional periodic continued fractions in the sense of Klein”, arXiv:math/0411031 (2008).

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