default:
                         [[0, 0]]: M0,0L0,0Z
                 [[0, 0], [1, 1]]: M0,0L1,1L1,0L0,0Z
         [[0, 0], [1, 1], [2, 0]]: M0,0L1,1L2,0L2,0L1,0L0,0Z

y0(-1):
                         [[0, 0]]: M0,0L0,-1Z
                 [[0, 0], [1, 1]]: M0,0L1,1L1,-1L0,-1Z
         [[0, 0], [1, 1], [2, 0]]: M0,0L1,1L2,0L2,-1L1,-1L0,-1Z

x(d.x).y1(d.y):
                      [{x:0,y:0}]: M0,0L0,0Z
            [{x:0,y:0},{x:1,y:1}]: M0,0L1,1L1,0L0,0Z
  [{x:0,y:0},{x:1,y:1},{x:2,y:0}]: M0,0L1,1L2,0L2,0L1,0L0,0Z

x(d.x).y0(-d.y).y1(d.y):
                      [{x:0,y:0}]: M0,0L0,0Z
            [{x:0,y:0},{x:1,y:1}]: M0,0L1,1L1,-1L0,0Z
  [{x:0,y:0},{x:1,y:1},{x:2,y:0}]: M0,0L1,1L2,0L2,0L1,-1L0,0Z

interpolate(step-before):
                         [[0, 0]]: M0,0L0,0Z
                 [[0, 0], [1, 1]]: M0,0V1H1L1,0V0H0Z
         [[0, 0], [1, 1], [2, 0]]: M0,0V1H1V0H2L2,0V0H1V0H0Z

interpolate(step-after):
                         [[0, 0]]: M0,0L0,0Z
                 [[0, 0], [1, 1]]: M0,0H1V1L1,0H0V0Z
         [[0, 0], [1, 1], [2, 0]]: M0,0H1V1H2V0L2,0H1V0H0V0Z

interpolate(basis):
                         [[0, 0]]: M0,0L0,0Z
                 [[0, 0], [1, 1]]: M0,0L1,1L1,0L0,0Z
        [[0, 0], [6, 6], [12, 0]]: M0,0C0,0,0,0,1,1C2,2,4,4,6,4C8,4,10,2,11,1C12,0,12,0,12,0L12,0C12,0,12,0,11,0C10,0,8,0,6,0C4,0,2,0,1,0C0,0,0,0,0,0Z

interpolate(basis-closed):
                         [[0, 0]]: M0,0C0,0,0,0,0,0L0,0C0,0,0,0,0,0Z
                 [[0, 0], [6, 6]]: M2,2C2,2,4,4,4,4C4,4,2,2,2,2L4,0C4,0,2,0,2,0C2,0,4,0,4,0Z
        [[0, 0], [6, 6], [12, 0]]: M9,1C8,0,4,0,3,1C2,2,4,4,6,4C8,4,10,2,9,1L3,0C4,0,8,0,9,0C10,0,8,0,6,0C4,0,2,0,3,0Z

interpolate(cardinal):
                         [[0, 0]]: M0,0L0,0Z
                 [[0, 0], [5, 5]]: M0,0L5,5L5,0L0,0Z
        [[0, 0], [5, 5], [10, 0]]: M0,0Q4,5,5,5Q6,5,10,0L10,0Q6,0,5,0Q4,0,0,0Z

interpolate(cardinal-closed):
                         [[0, 0]]: M0,0L0,0Z
                 [[0, 0], [5, 5]]: M0,0L5,5L5,0L0,0Z
        [[0, 0], [5, 5], [10, 0]]: M0,0C0,0,3.5,5,5,5S10,0,10,0L10,0C10,0,6.5,0,5,0S0,0,0,0Z