JohnsonSolid #85 (snub square antiprism) 16 vertices 40 edges 26 faces 24 equilateral triangles (24 tr.) 2 squares (2 sq.) |
mixed plain/vertex (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:
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modifiedJohnson- solid 85 18 vertices 40 edges 24 faces 8 parallelo- gramms (8 p.) 16 rectangular isoceles triangles (16 tr.) |
(nearly) plain (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). |