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Question
- describe some of the other figures you discovered while trying to create the 12-pointed star. (2 points)
When creating a 12 - pointed star (usually by connecting vertices of a dodecagon or using rotational symmetries), other regular or semi - regular figures often appear. For example, a regular hexagon can be formed because the 12 - pointed star construction involves angles and vertex connections that align with the hexagon's vertices (since 12/2 = 6, so every other vertex connection in a 12 - vertex figure can form a hexagon). Also, equilateral triangles can be seen; as the star's points and internal connections create triangular shapes with equal - length sides and 60 - degree angles. Additionally, a dodecagon itself (the 12 - sided polygon) is the base figure from which the star is constructed, so when the star is not fully formed or during the construction process, the dodecagon is visible.
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Some other figures discovered while creating a 12 - pointed star include a regular hexagon (formed by connecting every other vertex of the 12 - vertex base figure), equilateral triangles (from the star's point and internal connections), and the 12 - sided dodecagon (the base polygon for the star construction).