An embedded flexible polyhedron with nonconstant dihedral angles

We construct some sphere-homeomorphic flexible self-intersection-free polyhedron in Euclidean 3-space whose all dihedral angles change during some flex. The polyhedron has 26 vertices, 72 edges, and 48 faces. To study the properties of the polyhedron, we use traditional geometric constructions and reasoning as well as symbolic calculations in the Wolfram Mathematica software system.