Turkish Map Fold with a Rectangular Sheet

These instructions describe making this fold with a rectangular piece of paper. It’s easier with a square sheet — see instructions for that here.
David Rosen taught me this fold and he had instructions on his website, but they (and it) have unfortunately disappeared. The following photos show an example of the fold (an invitation to an exhibition of works by Julie Chen and printed by Alan Hillesheim). See
this page for links to examples, more variations, and how to use the fold in a book.
Directions are below the photos.

openmap1-2.jpg
opening3.jpg

map fold 1 Start with a piece of paper w” x h”. (w-h)/2″ from each end, make pencil marks. For example, if your paper is 10″x5″, then (w-h) is (10-5) or 5 and (w-h)/2 is (10-5)/2 or (5/2) or 2-1/2″.
mapfold3.jpg Fold the sheet in half and open it again. The dashed line indicates the fold.
mapfold4.jpg Open it and fold one short end to meet the pencil marks you made in the first step.
mapfold5.jpg Open the sheet and repeat with the other short end. Open the sheet up and it should look like this now.
mapfold6.jpg Refold one short end to the opposite pencil marks. Fold point a over so it meets the horizontal line…see the next picture. Turn the sheet over and repeat for point b, folding it so that it too meets the horizontal line.
mapfold6.jpg Here’s the sheet after folding in from point a.
Open the sheet, fold the other short end to the opposite pencil marks, and repeat the corner folds.
mapfold7.jpg Open the sheet again. The dotted lines in the picture are the fold lines you’ve made in the previous steps.
mapfold8.jpg Reverse the fold you made vertically in the middle of the sheet. This will reverse the diagonal folds and cause the sheet to close into the shape below…
mapfold9.jpg Now your sheet should look like this.
At points a and b, reverse the small diagonal fold (indicated by the red line) by pushing it inside the folded sheet. This will make the grey triangle in the picture fold inside the sheet, and the pieces above & below the horizontal dotted lines in the picture will also go inside. Turn the sheet over and repeat on the other side.
mapfold11.jpg This is what the sheet should look like when you’re all done.
opening3.jpg This photos shows a folded sheet as it is opened.