Make an Icosahedron

proto icosahedron

from a 8½ X 11 sheet 

Makes a nice Christmas ornament.

Cut a ~5¼ " strip (5.196"). making the paper 11x 5.2.
Then draw vertical lines at ~1¾" (1.732) and ~3½" (3.464).
Draw marks along one side at 1, 3 ,5 ,7 ,9, 11 inches and
along the other side at 2, 4, 6, 8, 10 inches.
Draw lines from the 1" mark across to the 4" mark,  3 to 6,  5 to 8, 
7 to 10 etc and the same the other way making 3 rows of triangles.

Like so:

pattern

Fold on the lines, all in the same direction. 
Then you remove the Gray area and Cut the side rows into parallelograms (white +red).

Slip the white triangles under the next red one to make the ends 
while the center row makes the middle belt of the icosahedron.

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