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);

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);

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);

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);

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