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 Start with a square whose side is 1/3 the side of the square used for the rose. It need not be strictly exact.

 Open top flap…

 … then squash.

 Turn over and do the same on the other side.

 

 Fold edges to the center. Do the same on the back side.

 Fold top triangle downwards.

 Unfold folds from the last two steps.

 Open from the bottom, following the creases.

 

 Squash flat.

 

 Starting from the crane base, fold top left layer to the right and bottom right layer to the left.

 Fold flap from the bottom upwards.

 Do the same on the other side.

 Bring the top flap downwards at a right angle (90 degrees).

 Bring the red line to the center via mountain and valley fold.

 This is what you'll get. Try to study the picture carefully.

 Bring shown flap downwards. In effect the layer at the back will be folded 90 degrees.

 Do the same mountain-valley fold step as you did on the first flap. I've omitted the lines for a better view.

 Similarly, bring another flap downwards.

 Again, the mountain-valley fold on the third flap. The figure is rotated as you go along.

 To bring down the fourth flap, you have to first push back and upwards the part indicated by the arrow.

 Do the mountain-valley fold one last time.

 You'll get this nice shape with a protruding pyramid in the center. We want to flatten that out.

 If your rose spirals clockwise outwards, then twist the pyramid edges clockwise. Counterclockwise otherwise (Dan's rose spirals clockwise).

 As you twist, slowly form the center square by squashing.

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