Index of Contents 1. Introduction..............................7 2. Construction of convex and non-convex polyhedron for regular tetrahedron, cube and regular octahedron...................................9 3. Incorrect construction of non-convex polyhedron for regular dodecahedron and regular icosahedron.................................21 4. The relationship between rhombic dodecahedron and stellated rhombic dodecahedron................................32 5. Incorrect stellation of rhombic dodecahedron and its improvement.........................35 6. Application of improvement for non-convex polyhedron of regular dodecahedron and regular icosahedron.................................47 7. Reference................................60