I was looking at a Mercator projection today, and tossing up all the usual questions thrown up (as in the famous episode of The West Wing) around proportionality etc.

Has anyone ever seen a Mercator projection drawn where we imagine that the equator goes through the South pole, which is centred (let's assume say, that the equator was therefore the top and bottom of the map, and that the prime meridian was the left and right of the map).

I'm just wondering what this would look like. I'd create it if I had the right mapping software! I'm an Aussie and it would be nice to see stretched locations near the traditional Equator, rather than near the poles.