Problems Proposed by Stanley Rabinowitz 1963 – 2005
نویسنده
چکیده
Problem 198. Pi Mu Epsilon Journal 4(Fall 1967)296 A semi-regular solid is obtained by slicing off sections from the corners of a cube. It is a solid with 36 congruent edges, 24 vertices and 14 faces, 6 of which are regular octagons and 8 are equilateral triangles. If the length of an edge of this polytope is e, what is its volume? Problem E2017. American Mathematical Monthly 74(Oct 1967)1005 Let h be the length of an altitude of an isosceles tetrahedron and suppose the orthocenter of a face divides an altitude of that face into segments of lengths h1 and h2. Prove that h = 4h1h2.
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