One grid. One equator. One circuit of the sun. Shown on a flat disk and a sphere — and morphing between the two, so you can see they are the same geometry drawn two ways.
✕What you're seeing. The flat disk is the Gleason map — real continents, north pole at the centre. Drag the morph slider and the very same grid, coastlines, equator, and sun-circuit fold into the round globe. Same coordinates, two pictures — one geometry between them.