Sarkar, Jyotirmoy2023-05-052023-05-052021Jyotirmoy Sarkar. Vertex Labeling of a Half-Cube to Induce Binary Face Labeling. International Journal of Mathematics, Statistics and Operations Research, 2021. 1(1): 35-47https://hdl.handle.net/1805/32826A 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.en-USPublisher PolicyPuzzlesolutionrotationreflectionArticle