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⭐ Drawing Star Polygons

How many points should you skip
to draw a star shape?

Place n evenly spaced points on a circle and connect them by skipping k points each time. Depending on the greatest common divisor (GCD) of n and k, you may get one continuous star or several overlapping shapes.

This shape is called a star polygon {n/k}. The pentagram (⭐, {5/2}) is the most famous example.

If gcd(n, k) = 1, you pass through all n points without lifting the pen and draw one continuous star. But if gcd(n, k) > 1, the line returns to its starting point early, splitting into several smaller shapes shown in different colors.

Number of points n5
Number of points to skip k2

⭐ Star polygon quiz

Question 1/3 · Correct 0