Dimension Zero (0D)

In dimension 0, the wave extends from the zero dimension to the first dimension.

From 0D to 1D Wave	Projection of Wave	Amplitude of wave
Dot is 0D space. Line is wave to 1D.	Projection of 1D wave should be dot(0D).	Wave has 1 amplitude.

Wave in 0D has 1 dimension(amplitude);

Dimension One (1D)

In dimension 1, the wave extends from the fist dimension to the second dimension.

From 1D to 2D Wave	Projection of Wave	Amplitude of wave
line is 1D space. Curve is wave to 2D. Wave has a movement direction.	Projection of 2D wave should be line(1D). Also this line is wavelength of the wave.	Wave has 1 amplitude.

Wave in 1D has 2 dimension(wavelength, amplitude);

Dimension Two (2D)

In dimension 2, the wave extends from the second dimension to the third dimension.

From 2D to 3D Wave	Projection of Wave	Amplitude of wave
Area is 2D space. Curve is wave to 3D. Wave has a movement direction.	Projection of 3D wave should be elips(2D). Elips has 2 dimension. First radius of elips is wavelength and the second one is other dimension of projection.	Wave has 1 amplitude.

Wave in 2D has 3 dimension(wavelength, dimension2, amplitude);

Dimension Three (3D)

In dimension 3, the wave extends from the third dimension to the fourth dimension.

From 3D to 4D Wave	Projection of Wave	Amplitude of wave
Volume is 3D space. Curves are wave to 4D. Wave has a movement direction. All amplitudes are same.	Projection of 4D wave should be ellipsoid(3D). Ellipsoid has 2 dimension. First radius of ellipsoid is wavelength and the second and third one are other dimensions of projection.	Wave has 1 amplitude.

Wave in 3D has 4 dimension(wavelength, dimension2, dimension3, amplitude);

General

In summary, wave in n dimensional space has n+1 dimension to be defined.

Dimension 0 : Amplitude
Dimension 1 : Wave Dimension_1 (wavelength: direction of movement)
....
Dimension n : Wave Dimension_n