Tiling with square

Square
Move sliders from α to γ in order.[br][br]Can Square be used to tile the plane?[br]- If yes, what is the rotation angle?[br]- If no, what is the problem? and,[br]- what other shape is needed to complete the tilings?[br][br]* This activity is constructed by Mahraz, Rojan and Aida, 7th grade students.

Information: Tiling with square