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A very easy and very sturdy icosahedron by Heinz Strobl. It requires 20 strips of 6 squares for the triangles and 30 strips of 6 squares to knot them together (strips of 5 squares also work).

Only the knotting strips will remain visible. So choose your colors accordingly. You can make a bigger model when assembling 6 triangles instead of 5 and connecting them to a 5 triangle module (looks like a football pattern).

Paper to use

20 strips of 6 squares for the triangles and 30 strips of 6 squares to knot them together (5 squares also work for the knotting).

Diagrams

Diagrams here.

Gallery

Strip IcosahedronStrip IcosahedronStrip IcosahedronStrip Icosahedron