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How to extract a part of a side of a regular polygon?

Is there a better way of drawing the following picture without the ab segment? I used the following...

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Answer by Jasper Habicht for How to extract a part of a side of a regular...

Just replace the node with a proper path. You know that the diameter of the circumcircle of the hexagon is 10cm unscaled (because nodes are not scaled when using the scale option). Thus, the scaled...

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