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Item Vertex Labeling of a Half-Cube to Induce Binary Face Labeling(ARF, 2021) Sarkar, Jyotirmoy; Mathematical Sciences, School of ScienceA plane, passing through the center and orthogonal to a diagonal, slices a cube into two identical halves each having three triangles, three pentagons and a hexagon. If you label the ten vertices of a half-cube with numbers, then each face is said to receive an induced face label given by the sum of all vertices around it. Label the ten vertices of a half-cube with digits 0 through 9 so that the induced labels of the three triangles and the three pentagons constitute two distinct values.