英和和英

名詞

star polygon (複数形 star polygons)

1. (geometry) A geometric figure formed by connecting, with straight lines, every vertex of a p-sided regular polygon to the qth vertex beyond it (proceeding, consistently, either clockwise または anticlockwise).

   Synonym: regular star polygon

2. Any such geometrical figure, or any of certain other types of figure of similar appearance whose general construction is not formally defined.

使用する際の注意点

• The (modified) Schläfli symbol for a star polygon is ${\displaystyle \{p/q\}}$.
• If p and q are not coprime (i.e., if they share some factor greater than 1), the resulting figure splits the vertices into groups which are not connected, and the figure is said to be degenerate.
• If p and q are coprime, every vertex of the resulting figure is ultimately connected to every other vertex, and the figure may be said to be non-degenerate.

下位語

• pentagram, star pentagon
• hexagram, star hexagon
• heptagram, star heptagon
• octagram, star octagon

Further reading

• Pentagram on Wikipedia.
• Stellation on Wikipedia.