Generalizations of Schöbi’s Tetrahedral Dissection
نویسندگان
چکیده
منابع مشابه
Generalizations of Schöbi's Tetrahedral Dissection
Let v1; : : : ; vn be unit vectors in R such that vi ¢ vj = ¡w for i 6= j where ¡1 < w < 1 n¡1 . The points Pn i=1 ‚ivi (1 ‚ ‚1 ‚ ¢ ¢ ¢ ‚ ‚n ‚ 0) form a “Hill-simplex of the first type”, denoted by Qn(w). It was shown by Hadwiger in 1951 that Qn(w) is equidissectable with a cube. In 1985, Schöbi gave a three-piece dissection of Q3(w) into a triangular prism cQ2(2) £ I, where I denotes an interv...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2008
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-008-9086-6