Prove that the points (0,0.0), (1, 1.0), (1,0, 1), (0. 1.1) form the vertices of a regular tetrahedron, meaning that all sides have the same length. What is the common Euclidean angle between the edges? What is the angle between any two rays going from the center ( 1/2,1/2,1/2) to the vertices? Remark: Methane molecules assume this geometric configuration, and the angle influences their chemistry.