Johnson Polyhedron #26 (gyrobifastigium)
  (2 compound tri- angular prisms)
  
8 vertices
  14 edges
  
8 faces 4 equilateral triangles (4 tr.) 4 squares (4 sq.) | 
  | vertex
  
2 paper strips
  2 x 1/3 tr. 5 x 2/3 tr. 8 x 1/2 sq. | 
 
  pattern download
  
2 paper strips, 2653 x 1137 pix, 128 kb: str2.gif | 
plaiting scheme:   
|   | 
a1 | a2 | a3 | a4 | a5 | a6 | a7 |  | I | 
↑↑ i5 I | ↓↑ i6 I | ↑↑ i7 I | ↓↑ i3 II | 
↑↑ i1 II | ↑↑ i4 II | ↓↑ i2 II |  | II | 
↑↑ i5 II | ↓↑ i6 II | ↑↑ i7 II | 
↓↑ i3 I | ↑↑ i1 I | ↑↑ i4 I | 
↓↑ i2 I |   
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modified JP26
 
   12 vertices
  22 edges
  
12 faces 8 trapezoids (6 tp.) 4 rectangular isoceles triangles (4 tr.) | 
  | plain
  
2 paper strips each divided into 2 parts
  4 tr. 4 tp. 4 x 1/4 tp. 4 x 3/4 tp. | 
 
  pattern download
  
2 paper strips, 2784 x 1116 pix, 96 kb: wst2.gif red lines: mountain folding
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plaiting scheme: see above. 
The quadrangles of the strips for the solid JP26 above were replaced by squares ("wrapping").
  
Remark 1: if a1, a3, i5, and i7 are folded as mountain along the arrows, and the grey lines as valley, the result is  
a polyhedron with 12 vertices, 30 edges and 20 faces (8 squares, 12 tr.), |  
        |  
Remark 2: If a2 is folded as valley along the arrow and i6 as valley across the arrow, then the result is a solid, which seems to be konvex. |   
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