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Truncated Octahedron

Archimedean
Solid

24 vertices

36 edges

14 sides
8 regular
hexagons (8 he.),
6 squares (6 sq.)
mixed
plain/vertices

6 paper strips

4 x 2/3 he.
  2 sq.
pattern download

6 plaiting-strips,
3020 x 2100 pix, 118 kB,

ao.gif

plaiting scheme:
a1a2a3a4a5
I↑↑i4V↑↓i3II↑↓i3IV↑↓i1V↑↑i5II
II↑↑i4VI↑↓i3III↑↓i3V↑↓i1VI↑↑i5III
III↑↑i4IV↑↓i3I↑↓i3VI↑↓i1IV↑↑i5I
IV↑↑i5V↑↓i2II↑↓i2V↑↑i4II↑↓i1I
V↑↑i5VI↑↓i2III↑↓i2VI↑↑i4III↑↓i1II
VI↑↑i5IV↑↓i2I↑↓i2IV↑↑i4I↑↓i1III
modified
truncated
Octahedron



32 vertices

84 edges

54 sides
48 rectangular-
isoceles triangles
(48 tr.)
6 squares (6 sq.)
plain

6 paper strips

16 tr.
  2 sq.
pattern download,

6 plaiting strips
2632 x 1441 pix, 327 kb,

aao.jpg


red lines: mountain folding
plaiting scheme: see above, start with: a2I↑↓i3II, a2II↑↓i3III, a2III↑↓i3I; then a3I-III↑↓i3IV-VI
the plaiting strip quadrangles for the truncated octahedron above were replaced by squares ("wrapping")
plaiting page