make a BIG icosahedron!
You will be using two sheets of paper.

Directions for sheet #1:

 1. Draw three circles with your paper turned horizontally. 2. Draw two more circles as shown. 3. Draw two more circles above the first five, to make seven. 4. Draw line segments connecting all of the intersections. You will draw ten triangles. Mark six tabs with a T, as shown. Carefully cut out around the white area--the ten triangles and six tabs. 5. To make the largest possible icosahedron out of two sheets of paper, place the first sheet as shown so that your triangles and tabs still fit on the paper but unneeded portions of the circles get cut off.

 Directions for sheet #2: Follow steps 1 - 3 above to make seven circles. 4. Now turn the sheet 180 degrees so that the three circles are at the top of the sheet instead of the bottom. Draw line segments connecting all of the intersections. You will draw ten more triangles. Mark six tabs with a T, as shown. Carefully cut out around the white area--the ten triangles and six tabs. 5. To make the largest possible icosahedron out of one sheet of paper, place it as shown so that your triangles and tabs still fit on the paper but unneeded portions of the circles get cut off.

 6. Now fold, crease, decorate, and glue together the two sheets of your icosahedron, following the same hints given on the tetrahedron page. The two tabs at the very top of your first sheet will be glued to the two triangles at the very bottom of your second sheet. (You might want to label them to be sure you can match the two pieces together correctly after you have cut them out.) When you are finished, no one will be able to tell that your big icosahedron started out in two pieces! And it should be a lot bigger than your one-sheet icosahedron.