Rolling waves z = sin(x + t) + cos(y + t)

Equation: z = sin(x + t) + cos(y + t)

Each term is a plane wave: sin(x + t) travels toward −x, cos(y + t) toward −y.

The sum stays periodic. Compare with the static cos(x) + cos(y) to see that t is only a phase shift.

Related surfaces

• Rolling valleysz = cos(x) + cos(y)
• Twin peaksz = sin(x) * cos(y)
• Rotating wavez = sin(x * cos(t) + y * sin(t))