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Johnson
Solid #85

(snub square
antiprism)

16 vertices

40 edges

26 faces
24 equilateral
triangles (24 tr.)
2 squares
(2 sq.)		 mixed
plain/vertex

1 paper strip
(divided
into 4 parts)

12 tr.
2 x 1/4 sq.
1/2 sq.
pattern download

4 paper strips, 2445 x 1836 pix, 127 kb: st4.gif
plaiting scheme:
a1a2a3a4a5a6a7a8 a9a10a11a12a13a14a15a16
↓↑ i8↓↑ i15↑↑ i10↑↑ i1 ↓↑ i12↓↑ i3↑↑ i14↑↑ i5 ↓↑ i16↓↑ i7↑↑ i2↑↑ i9 ↓↑ i4↓↑i11↑↑ i6↑↑ i13
modified
Johnson-
solid 85



18 vertices

40 edges

24 faces
8 parallelo-
gramms (8 p.)
16 rectangular
isoceles
triangles (16 tr.)
(nearly)
plain

1 paper strip
(divided
into 4 parts)

8 tr.
2 p.
4x 1/2 p.

pattern download

4 paper strips, 2784 x 1261 pix, 301 kb: ast.jpg

red lines: mountain folding
plaiting scheme see above. The quadrangles of the plaiting strips for the Johnson solid 85 above were replaced by
squares ("wrapping").
Remark: when diagonals of a1 ,a5 ,a9, a13, i4, i8, i12, and i16 are folded along the arrows and the diagonals of a3, a7,
a11, a15, i2, i6, i10, and i14 across to the arrows as mountain, and additionally the grey lines as valley, then the result will
be a polyhedron with 18 vertices, 48 edges and 32 faces (rectangular isoceles triangles).
plaiting page