Polygram

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A regular polygram {n/k} is generalization of a (regular) polygon on n sides (i.e., an n-gon) obtained by connecting every ith vertex around a circle with every (i+k)th, "picking up" the pencil as needed to repeat the procedure after traversing the circle until none of the vertices remain unconnected.

Lachlan (1893) defines polygram to be a figure consisting of n straight lines.

The best-known polygrams are the pentagram and hexagram (a.k.a. Star of David). The following table summarizes some named polygrams.

See also

Decagram, Hexagram, Octagram, Pentagram, Polygrammic Prism, Star Figure, Star of Lakshmi, Star Polygon

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References

Lachlan, R. An Elementary Treatise on Modern Pure Geometry. London: Macmillian, p. 83, 1893.

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Polygram

Cite this as:

Weisstein, Eric W. "Polygram." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Polygram.html

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