A polyhedron configured to be removably coupled by shape with another polyhedron to form a Yoshimoto cube, said polyhedron comprising: - eight half-cubes (101, 102) equal to each other, each of which being delimited by three outer faces (1011, 1012, 1013), having a substantially square configuration, arranged orthogonally to each other, whereby each outer face (1011, 1012, 1013) is delimited by two edges (10111, 10112) in common with the other outer faces (1012, 1013) and two free edges (10113, 10114), and by 6 inner faces (1014, 1015, 1016, 1017, 1018, 1019), having a substantially triangular configuration, wherein each inner face (1014, 1015, 1016, 1017, 1018, 1019) extends between a vertex, in common with the other inner faces of the half-cube, substantially coinciding with the geometric centre of a cube delimited by said three outer faces (1011, 1012, 1013), and a respective base, corresponding to a free edge between two free edges of one of said outer faces (1011, 1012, 1013); and - eight hinge members, each configured to connect a free edge (10113, 10113') of each half-cube (101, 101') with a free edge (10113', 10113) of another half-cube (101', 101) adjacent thereto, wherein each hinge member comprises at least one axis of rotation around which the two half-cubes (101,101') connected by such hinge member can mutually move; characterized in that each hinge member of said polyhedron: - extends along each of the two free edges (10113, 10113') of the two respective adjacent half-cubes (101, 101') connected by the hinge member, starting from a same end of each free edge (10113, 10113') of the two free edges and for an overall length lower than the length of each free edge (10113, 10113'), optionally substantially other than or equal to half the length of each free edge (10113, 10113'), - defines an axis of rotation parallel to each free edge (10113, 10113') and - allows a mutual angular movement between the two respective adjacent half-cubes (101, 101') connected by it, comprised between a first configuration, wherein the outer faces delimited by the respective free edges (10113, 10113'), at which the connection with the hinge member is made, match, and the corresponding portions of the respective free edges (10113, 10113') which are not connected by the hinge member delimit a first housing seat, configured to support a possible corresponding hinge member of the other polyhedron; and a second configuration, wherein the outer faces delimited by the respective free edges at which the connection is made are thereby arranged along a same plane, spaced apart from each other, and thus delimit, between the respective free edges at which the connection with the hinge member is made, a second housing seat configured to house, substantially to size, a possible corresponding hinge member of the other polyhedron. - eight half-cubes (101, 102) equal to each other, each of which being delimited by three outer faces (1011, 1012, 1013), having a substantially square configuration, arranged orthogonally to each other, whereby each outer face (1011, 1012, 1013) is delimited by two edges (10111, 10112) in common with the other outer faces (1012, 1013) and two free edges (10113, 10114), and by 6 inner faces (1014, 1015, 1016, 1017, 1018, 1019), having a substantially triangular configuration, wherein each inner face (1014, 1015, 1016, 1017, 1018, 1019) extends between a vertex, in common with the other inner faces of the half-cube, substantially coinciding with the geometric centre of a cube delimited by said three outer faces (1011, 1012, 1013), and a respective base, corresponding to a free edge between two free edges of one of said outer faces (1011, 1012, 1013); and - eight hinge members, each configured to connect a free edge (10113, 10113') of each half-cube (101, 101') with a free edge (10113', 10113) of another half-cube (101', 101) adjacent thereto, wherein each hinge member comprises at least one axis of rotation around which the two half-cubes (101,101') connected by such hinge member can mutually move; - extends along each of the two free edges (10113, 10113') of the two respective adjacent half-cubes (101, 101') connected by the hinge member, starting from a same end of each free edge (10113, 10113') of the two free edges and for an overall length lower than the length of each free edge (10113, 10113'), optionally substantially other than or equal to half the length of each free edge (10113, 10113'), - defines an axis of rotation parallel to each free edge (10113, 10113') and - allows a mutual angular movement between the two respective adjacent half-cubes (101, 101') connected by it, comprised between a first configuration, wherein the outer faces delimited by the respective free edges (10113, 10113'), at which the connection with the hinge member is made, match, and the corresponding portions of the respective free edges (10113, 10113') which are not connected by the hinge member delimit a first housing seat, configured to support a possible corresponding hinge member of the other polyhedron; and a second configuration, wherein the outer faces delimited by the respective free edges at which the connection is made are thereby arranged along a same plane, spaced apart from each other, and thus delimit, between the respective free edges at which the connection with the hinge member is made, a second housing seat configured to house, substantially to size, a possible corresponding hinge member of the other polyhedron.