In this classroom activity, a PCMI Resource for Teachers, the interconnections between a cube and a rhombic dodecahedron are illustrated. The authors, Joyce Frost and Kris Koch, list these objectives:

• Increase students' and teachers' understanding of important geometrical concepts through the construction and analysis of three-dimensional models.
• Analyze and compare properties of the cube and its corresponding rhombic dodecahedron by dissecting and transforming the solid cube.
• Develop mathematical arguments about geometric relationships of the cube and its corresponding rhombic dodecahedron.

View other PCMI Resources for Teachers:

http://mathforum.org/pcmi/hstp/resources.html

PCMI is an outreach program of the School of Mathematics at the Institute for Advanced Study. Geometry is the theme of one of six working groups meeting this summer in June/July. For more information on the program, view the PCMI @ MathForum site:

http://mathforum.org/pcmi/hstp/

Demo activities include:

• Connect Sums
• Number Jump
• Polyomino Shift
• Double Traits
• Sums Stacker
• Hydro Maze
• Time Shuffle

http://www.ima-art.org/education/IMA_education/home.asp?levelid=1

Based on the collection of the Indianapolis Museum of Art, "What's the Problem?" explores how some artists have used geometry as a creative tool. The site is divided into three topics:

• lines
• polygons
• volume

Also provided as links from the left sidebar are a glossary and a list of references for further reading.

Besides this high school version, a middle school version is also available:

http://www.ima-art.org/education/IMA_education/home.asp?levelid=2