Hi I've been researching ToEE's isometric transformation for one week now. This is what I got. From ViewPort (screen) to Isometric (Ground Map) steps: 0. Starting from default top left origin, X to right, Y to bottom. 1. Apply "Flip X" transformation. 2. Apply "Rotate 45 grad anticlockwise" transformation. 3. Apply "Scale Y 1->0.7055" transformation.

Math Code: "Apply" means "matrix multiplication". 0. Starting from default top left origin, X to right, Y to bottom. ( (1, 0) , ( 0, 1) ) 1. Apply "Flip X" transformation. ( (-1, 0) , ( 0, 1) ) 2. Apply "Rotate (Z-Axis) 45 grad anticlockwise" transformation. ( ( cos(45), sin(45)) , (-sin(45), cos(45)) ) which is ( ( 0.7071, 0.7071) , (-0.7071, 0.7071) ) 3. Apply "Scale Y 1->0.7055" transformation. (math matrix multiplication) ( (1, 0) , ( 0, 0.7055) ) Result MatrixT is ( (A: -0.7071, B: 0.7071) , (P: 0.4989, Q: 0.4989) ) P2.X = P1.X * MatrixT.A + P1.Y * MatrixT.B P2.Y = P1.X * MatrixT.P + P1.Y * MatrixT.Q ==> P2.X = P1.X * -0.7071 + P1.Y * 0.7071 P2.Y = P1.X * 0.4989 + P1.Y * 0.4989 Edit: Fixed float to double transformation.