Hands-on, engaging activity for 1st grade and up. Written and illustrated instructions for folding a circle making a Vector Equilibrium sphere, a Tetrahedron, an Octahedron, and an Icosahedron using paper plates all folded the same. Questions that guide students to observe and discuss geometry and math functions they need to know are integrated into the folding process. Fundamental 2-D and 3-D geometry is revealed in the patterns, order of arrangement, and reconfiguring the creases in the circle. Individual and group observations, discussions, and working together are suggested to get the most from this activity. Understanding is in the experience of folding, observation, reflecting, and discussing what is observed.
Folding circles is new to everyone therefore will look difficult. It is within the capability of first grade students. This is simple and direct; touching points and creasing. Information necessary for folding is revealed in the creases of the circle. More information is generated in the circle than any other shape. I call folding circles wholemovement; a self-referencing movement of the whole. No other shape can claim to be whole. Nothing is easier, more principled, comprehensive, or economical to fold that the circle.