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In geometry, a star polygon is a type of non-convex polygon. ... a five-pointed star can be obtained by drawing a line from the 1st to the 3rd vertex, from the 3rd to ...
The pentagram contains ten points (the five points of the star, and the five vertices of the inner pentagon) and fifteen line segments. It is represented by the Schläfli symbol {5/2}. Like a regular pentagon, and a regular pentagon with a pentagram constructed inside it, the regular pentagram has as its symmetry group the dihedral group of ...
A five-pointed star. A five-pointed star (☆), geometrically an equilateral concave decagon, is a common ideogram in modern culture. Comparatively rare in classical heraldry, it was notably introduced for the flag of the United States in the Flag Act of 1777 and since has become widely used in flags.
In geometry, a pentagon (from Greek πέντε (pente) 'five' and γωνία (gonia) 'angle' [1]) is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting. A self-intersecting regular pentagon (or star pentagon) is called a pentagram.
Heptagram, a seven-pointed star polygon; Octagram, an eight-pointed star polygon; Enneagram, a nine-pointed star polygon; Decagram, a ten-pointed star polygon; Hendecagram, an eleven-pointed star polygon; Dodecagram, a twelve-pointed star polygon; Magic star, a star polygon in which numbers can be placed at each of the vertices and ...
The five-pointed star, if drawn with points of equal length and angles of 36° at each point, is sometimes termed a golden five pointed star. [7] If the colinear edges are joined, a pentagram is produced, which is the simplest of the unicursal star polygons , and a symbol of mystical and magical significance.
The six-pointed star is commonly used both as a talisman [7] and for conjuring spirits and spiritual forces in diverse forms of occult magic. In the book The History and Practice of Magic, Vol. 2, the six-pointed star is called the talisman of Saturn and it is also referred to as the Seal of Solomon. [8]
A recurring motif is the 8-pointed star, often seen in Islamic tilework; it is made of two squares, one rotated 45 degrees with respect to the other. The fourth basic shape is the polygon, including pentagons and octagons.