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MR1692315 (2000e:51027) 51L15 (52A20)
Uribe Vargas, Ricardo On the $(2k+2)$-vertex and $(2k+2)$-flattening theorems in higher-dimensional Lobatchevskian space. C. R. Acad. Sci. Paris Sér. I Math. 325 (1997), no. 5, 505--510.
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