A hexagram is a six-pointed star, with all lines the same length and all angles the same. A 'hexangle', 'star hexagon', or 'hexalpha' means the same thing. It is used in historical, religious and cultural contexts, for example in Hanafism, Judaism, Hinduism and occultism. It is possible that this simple geometric shape, like the triangle, circle, or square, has been created by various peoples with no connection to one another.
Group theory[change | change source]
Construction by compass and a straight edge[change | change source]
A six-pointed star, like a regular hexagon, can be created using a compass and a straight edge:
- Make a circle of any size with the compass.
- Without changing the radius of the compass, set its pivot on the circle's circumference, and find one of the two points where a new circle would intersect the first circle.
- With the pivot on the last point found, similarly find a third point on the circumference, and repeat until six such points have been marked.
- With a straight edge, join alternate points on the circumference to form two overlapping equilateral triangles.