IMO, every map projection that does not have at least one of the following four properties is worthless:

Equal-area

Conformal

Extremely simple to construct from 2D coordinates (latitude and longitude)

Extremely simple to construct from 3D coordinates (

`x`,`y`, and`z`)

For example:

Property | Cylindrical | Azimuthal |
---|---|---|

Equal-area | Cylindrical equal-area | Azimuthal equal-area |

Conformal | Mercator | Orthographic |

Extremely simple in 2D | Equirectangular | Azimuthal equidistant |

Extremely simple in 3D | Central cylindrical | Gnomonic |

Ludicrously overcomplicated compromise projections can go fuck themselves.