Exploring Hexaflexagons
A worksheet for 7th graders to explore the geometry and properties of hexaflexagons through questions and drawing exercises.
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Exploring Hexaflexagons
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Read each question carefully and answer to the best of your ability. Use the provided space for your responses and drawings.
What is a Hexaflexagon?
A hexaflexagon is a flat model, usually made of paper, that can be folded or 'flexed' to reveal different faces. The simplest type is a trihexaflexagon, which has three faces and is constructed from a strip of paper divided into ten equilateral triangles.
1. A hexaflexagon is a flat model, usually made of , that can be folded or 'flexed'.
2. The simplest type of hexaflexagon is called a .
3. A trihexaflexagon typically has faces.
4. What shape are the individual sections that make up a trihexaflexagon strip?
Squares
Rectangles
Equilateral Triangles
Circles
5. Draw a strip of ten equilateral triangles that could be used to construct a basic trihexaflexagon. Label each triangle with a number from 1 to 10.
6. All hexaflexagons have only three faces.
True
False
7. In your own words, explain what makes a hexaflexagon unique compared to a standard folded piece of paper.
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