Figure 7: Bézier’s technique conceived of the curve generated by two intersecting cylindrical surfaces (hatched areas. Parts of the cylinder outside the cube have omitted for clarity). These geometries could be mathematically defined by encompassing them within a cube (left). By mathematically transforming the cube, the curve inside is also reshaped (right). In practice, three vectors (pink, blue, yellow) between four vertices were only necessary for this construct.