Trihedral Vase
Use a square of paper.
If you wish to receive a vase of certain height, for example 30 cm (12-inch) in height, the initial square should be on one third more than desirable height, in this case you should take 40 cm (16-inch) square.
Also it is possible to use a rectangle of paper, about A4 or Letter in size, to made a vase of other proportion.
1 Begin with a book fold. Valley fold the square in half. Press the paper flat, thereby completing the book fold. Unfold it completely.
2 Valley fold the left-hand side over to meet the vertical middle fold-line. Press it flat and unfold it. Repeat the same with the right-hand side.
3 Valley fold the bottom corners in to meet their adjacent fold-lines as shown, thereby making two triangles. Press them flat and unfold them.
4 Valley fold the bottom edge up over on a line between the top ends of the fold-lines made in the previous step. And unfold it.
5 Valley fold the bottom edge up to meet the horizontal fold-line made in the previous step. And unfold it.
6 Valley fold the left-hand edge over the fold-line made in the step 2.

7 First, valley fold the bottom left-hand corner over to meet the adjacent fold-line as shown and unfold it. Then open the left front flap.

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8 Valley fold the paper in half over the fold-line made in the step 1.
9 First, valley fold the bottom left-hand corner over to meet the adjacent fold-line as shown and unfold it. Second, repeat these actions for the right hand corner. Then open the front flap.
10 Valley fold the left-hand edge over the fold-line made in the step 2 as shown.
11 First, valley fold the bottom left-hand corner over to meet the adjacent fold-line as shown and unfold it. Then open the front flap.
12 Valley fold the top edge approximately on 5-7 mm.
13 Valley fold the top edge over the fold-line made in the step 12. Press the paper flat and unfold it.
14 Step fold the bottom edge over the existing fold-lines as shown.
15 Bring the left- and right-hand sides around and together as shown. Insert one section of the left-hand edge under the layer of the right-hand edge.
16 Mountain fold the top edge over the fold-line made in the step 13. Then turn the model around for a bottom view.
17 The bottom view. Reduce the internal layers to the middle.
18 Mountain fold the corners over the existing fold-lines as shown.
19 This should be the result.
20 Here is the completed elegant trihedral vase!

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