What you see here is the result of a long and complicated search, but with an enormous
amount of help from Daniel M. German I've able to construct the conformal projection of the
cube. If your first reaction is to mutter: "The what of the cube?" or just
"So?", and if you are interested, please follow these explanations... You
may have seen before panoramas projected in a cube: in flickr for example, there is a
"foldables" group and I have some myself (including other polyhedra).
These panoramas have all in common the use of the gnomonic or perspective projection: in
this type of projection straight lines stay straight. This is great for architectural
photos, but as you can see for the model on the right, you get broken lines in the sides of
the cube (the columns of the cathedral seem to be broken). It is possible in theory to
devise a conformal projection that would show the sphere as a cube. However it is very
difficult to find information on such a projection. The usual inter