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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:   
  a1a2a3a4a5a6a7
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
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
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.
plaiting page