YOUR ASSIGNMENT: Solid Art

Your selections

You meet an artist who makes sculptures out of Platonic solids. Being an excellent geometer who knows how to use nets to create solid figures, you are intrigued and want to make your own models.

1. Which combined solid did you select? (Circle one.) (1 point)

Left: Icosahedron with tetrahedrons

Right: Octahedron with tetrahedrons

Construct the models

Nets are two-dimensional patterns that fold into 3-dimensional shapes, so they are a great tool for analyzing and constructing solids. Use the tetrahedron, octahedron and the icosahedron tools to help you examine each shape more closely, and to practice folding each net into a solid.

2. Using the link on the activity page, cut out each net. Fold and tape each net into a three-dimensional solid. Your solids do not need to be perfect. (9 points: 3 points for each solid)

3. Identify each solid. Hint: count the number of faces you can see. (6 points: 1 point for each blank)

Solid 1: number of faces:_____ name of solid: _____ Solid 2: number of faces:_____ name of solid: _____ Solid 3: number of faces:_____ name of solid: _____

Your solid

4. Look at the polyhedron that you chose at the beginning. Which two solids do you need to your polyhedron? How many of each solid do you need?

Answer for your polyhedron. Hint: Each tetrahedron will cover one face of the other solid. (4 points: 1 point for each blank)

Polyhedron 1: Solid:_____ Number: _____ Solid:_____ Number: _____ Polyhedron 2: Solid:_____ Number: _____ Solid:_____ Number: _____