Roberta's Blog

Archimedean Solids

Posted on: March 5, 2010

               

What shapes did you start out with?

Platonic Solid Vertices Faces Edges
Cube 6 8 12
Tetrahedron 4 4 6

                   

What were the shapes after you truncated them?

Platonic Solid Vertices Faces Edges
from Cube 24 14 36
from Tetrahedron 12 8 18

 How can you set up this type of activity for your students?

I would provide the students with a variety of materials that could be used to create the solids. They would then be allowed to select the material that they would like to use. Once the material is selected the student would select which shape they would like to start with. I would have them complete a chart like the one above for their beginning shape. They would then be allowed to create their own truncated solid. Once they are finished they will complete the chart for the new shape. After everyone has finished their truncated shape we would have a class discussion. Since there are so many ways to create truncated solids the chances are high that everyone in the class will create a different one which would lead to a great discussion.

Do you think this is an activity that students will enjoy? Why do you think this is the case?

Students who enjoy puzzles would definitely like this activity. Anytime students can use their hands while learning they enjoy it. Students remember and learn more if they are actively involved. This activity gives the students a chance to prove to themselves that Eucler’s Formula works with all types of platonic solids.

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1 Response to "Archimedean Solids"

I like the idea of letting the student pick the material. Students never fail to amaze me with the great ideas that they come up with. I think that letting them choose will definitely motivate them and keep them engaged. I also agree with your puzzle fact. This activity definitely engages students with the hands-on part. It is nice to see that even though there are such different ideas that can be out there and still be correct!

Thanks
Bridget

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  • Judy: Roberta, The Transformational Golf is a new site for me. I haven't seen this one and can't wait to share it with others. Many students struggle w
  • bkgeary: I like the idea of letting the student pick the material. Students never fail to amaze me with the great ideas that they come up with. I think that
  • joshbeals: I love puzzles too! I liked your comments about quilting patterns. It's awesome when we see math in the things we choose to do with our free time.
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