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Question 1
1. Describe the shape. - Use the images and provide specific reasons for your description. 2. If you had to create a model, what materials would you use?
Step 1
Answer
The shape is a dodecahedron, a three-dimensional solid consisting of 12 regular pentagonal faces. Each vertex of the dodecahedron connects three faces and has an interior angle of 108 degrees. Its symmetrical structure allows for balanced aesthetics and equal distribution of surface area, contributing to its appeal in both mathematics and art.
Step 2
Answer
To create a model of a dodecahedron, I would use lightweight materials such as cardboard or foam board for the faces, allowing for easy cutting and joining. Additionally, I would use a strong adhesive or tape to secure the edges. For a more durable model, I might opt for plastic or wood, ensuring the angles and edges are precise for structural integrity and aesthetic quality.
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