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Park City Mathematics Institute
Geometrical Concepts from Constructions, Models, and Investigations
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Rhombic Dodecahedron - Hidden Within or
Surrounding the Cube?
Joyce Frost and Kris Koch
Teacher Directions || Worksheet
WHAT IS IT?
Classroom activity illustrating the interconnections between a cube and a rhombic dodecahedron.
GRADE LEVEL/STRAND
Secondary geometry
CLASS TIME
1-2 class periods
MATERIALS
- Teacher classroom set of Zome™ tools (if available)
- If Zome™ tools are not available, each group of 4 students could use 96 clear standard sized drinking straws (24 for each person) and blue and yellow curling ribbon to build a total of 12 square pyramids per group.
- Student worksheet
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.
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© 2001 - 2013 Park City Mathematics Institute
IAS/Park City Mathematics Institute is an outreach program of the School of Mathematics
at the Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540
Send questions or comments to: Suzanne Alejandre and Jim King
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With program support provided by Math for America
This material is based upon work supported by the National Science Foundation under Grant No. 0314808.
Any opinions, findings, and conclusions or recommendations expressed
in this material are those of the author(s) and do not necessarily reflect
the views of the National Science Foundation.
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