Geodesic
A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn
Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 184-194

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The properties of a generalization of the algorithm for continued fractions introduced by the author are studied; it is essentially equivalent to the algorithm of Viggo Brunn and is related to the Jacobi-Perron algorithm. 
@article{ZNSL_1977_67_a9,
     author = {E. V. Podsypanin},
     title = {A generalization of the algorithm for continued fractions related to the algorithm of {Viggo} {Brunn}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {184--194},
     publisher = {mathdoc},
     volume = {67},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a9/}
}
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E. V. Podsypanin. A generalization of the algorithm for continued fractions related to the algorithm of Viggo Brunn. Zapiski Nauchnykh Seminarov POMI, Studies in number theory. Part 4, Tome 67 (1977), pp. 184-194. http://geodesic.mathdoc.fr/item/ZNSL_1977_67_a9/