# Symmetrical Party Hat

6 Steps

## Step 6: Step 4 - Assembly and Final Touches

Unfold the diamond into a star shape and place it on top of the circle paper in the center with the points of the star lined up with the flaps in the center of the circle. Staple the points of the star to the points on the flaps. Use crayons, markers, etc. to decorate your hat and wear it proudly!

This is a case of using mathematics to create fashion. Radial or rotational symmetry describes objects that have the same geometry when rotated around a center point. In nature, many flowers, starfish, and octopi have radial symmetry. The two pieces of the Symmetrical Party Hat also exhibit radial symmetry because of how they were folded before they were cut.

Now that you know the basics of making this hat, create your own! How could you make it bigger or smaller? What would happen if you change from an arc and diamond to other shapes? Please post pictures in comments on what you make.
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