Points on a Circle

The function CirclePoints returns coordinates of points equally distributed on a circle. Here are some examples of what can be done by combining it with graphics primitives.

Draw arrows pointing at seven equidistant points on a circle.

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Graphics[Arrow[{{0, 0}, #}] & /@ CirclePoints[7]]

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Place the first eight regular polygons at the vertices of an octagon.

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Graphics[MapIndexed[RegularPolygon[#1, 0.25, First@#2 + 2] &, CirclePoints[8]]]

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Combine CirclePoints and BezierCurve.

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Graphics[{ BezierCurve[{{0, 0}, ##, {2, 0}}], BezierCurve[{{0, 0}, ##, {0, 2}}], BezierCurve[{{0, 0}, ##, {-2, 0}}], BezierCurve[{{0, 0}, ##, {0, -2}}] } & /@ CirclePoints[32] ]

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In[4]:=

Graphics[Table[ Rotate[BezierCurve[{{0, 0}, #, {1, 0}}] & /@ CirclePoints[8], i], {i, 0, 2 Pi, Pi/16}]]

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