Quantum projective planes as certain graded twisted tensor products

Let K be an algebraically closed field. Building upon previous work, we classify, up to isomorphism of algebras, quadratic graded twisted tensor products K[x,y] and K[z]. When such algebra is Artin-Schelter regular, identify its point scheme type, in the sense [6]. We also describe which three-dimensional Sklyanin algebras contain a subalgebra isomorphic quantum P1, show that every this family product K−1[x,y]