Before revision: For cubic curves one can construct intermediate points Q0, Q1, and Q2 that describe linear Bézier curves, and points R0 and R1 that describe quadratic Bézier curves: 240px|Construction of a cubic Bézier curve240px|Animation of a cubic Bézier curve, t in [0,1]Construction of a cubic Bézier curveAnimation of a cubic Bézier curve, t in [0,1] For fourth-order curves one can construct intermediate points Q0, Q1, Q2 and Q3 that describe linear Bézier curves, points R0, R1 and R2 that describe quadratic Bézier curves, and points S0 and S1 that describe cubic Bézier curves: 240px|Construction of a quartic Bézier curve240px|Animation of a quartic Bézier curve, t in [0,1]Construction of a quartic Bézier curveAnimation of a quartic Bézier curve, t in [0,1] For fifth-order curves, one can construct similar intermediate points.
After revision: For cubic curves one can construct intermediate points Q0, Q1, and Q2 that describe quadratic Bézier curves, and points R0 and R1 that describe linear Bézier curves: 240px|Construction of a cubic Bézier curve240px|Animation of a cubic Bézier curve, t in [0,1]Construction of a cubic Bézier curveAnimation of a cubic Bézier curve, t in [0,1] For fourth-order curves one can construct intermediate points Q0, Q1, Q2 and Q3 that describe linear Bézier curves, points R0, R1 and R2 that describe quadratic Bézier curves, and points S0 and S1 that describe cubic Bézier curves: 240px|Construction of a quartic Bézier curve240px|Animation of a quartic Bézier curve, t in [0,1]Construction of a quartic Bézier curveAnimation of a quartic Bézier curve, t in [0,1] For fifth-order curves, one can construct similar intermediate points.