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2017 China TSTST Day 1 Problem 1

Source: 2017 China TSTST Day 1 Problem 1

March 7, 2017
geometryTststsolid geometry3D geometryoctahedron

Problem Statement

Find out the maximum value of the numbers of edges of a solid regular octahedron that we can see from a point out of the regular octahedron.(We define we can see an edge ABAB of the regular octahedron from point PP outside if and only if the intersection of non degenerate triangle PABPAB and the solid regular octahedron is exactly edge ABAB.