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:
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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.), |
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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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