Subjects geometry

6 Vertex Star

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6 Vertex Star


1. Let's restate the problem: You mention a star with 6 vertices (6 v). We want to determine what type of star this is. 2. A star polygon is typically denoted by \( \{n/k\} \), where \(n\) is the number of vertices and \(k\) determines the connection pattern. 3. For \(n = 6\) vertices, the possibilities for \(k\) are 2 or 3 (since \(k\) must be less than \(n/2\)). 4. The \( \{6/2\} \) star connects every second vertex, forming two overlapping triangles known as the Star of David or a hexagram. 5. The \( \{6/3\} \) star connects every third vertex, and in this case, it produces two overlapping lines and is not a simple star shape. 6. Therefore, the prominent star polygon with 6 vertices is the \( \{6/2\} \), also known as the hexagram. Final answer: With 6 vertices, the star form you get is the hexagram, a 6-pointed star composed of two overlapping triangles.