Cylindrical projection — where it appears
The cylinder, and the price of going all the way round
A cylindrical picture can hold three hundred and sixty degrees, keeps every vertical vertical, and bows every horizontal. Its cost is a stretch of sec φ in elevation, which is also the equirectangular surface's cost exactly — two surfaces that are always described as different and are identical in the one respect anybody notices.
When the picture surface is not flat
A flat picture plane keeps straight lines straight and stretches the edges without bound. A cylindrical one spreads the stretch evenly and bends every straight line that is not through the axis. Neither is the distorted one — they are answers to different questions, and the choice decides what a wide view can be.
Named alongside it
The objects these essays reach for when they reach for this one.
EquirectangularPanoramaAnisotropyAzimuthConicEdge stretchElevationfield of viewFisheyeHorizonPicture surfaceVanishing point