All dynamic geometric experiments carried out for this work are performed in the interactive geometry environment created by the software Cabri 3D. In this paper, we study 1.Symmetric Patterns associated with the pair Truncated Cube-Triakis Octahedron. 2.First Distorted Patterns associated with the pair Truncated Cube -Triakis Octahedron. This pattern has a fixed symmetrc axis of rotation. 3.Second Distorted Patterns of the pair Truncated Cube-Triakis Octahedron. This pattern has two invariant incircles of the faces. 4. extension of 3 to the pairs (a) Cuboctahedron-Rhombic Dodecahedron (b) Icosidodecahedron-Rhombic Triacontahedron (c) Tetrahedron-Tetrahedron